{"label":"174.2.a","level":174,"weight":2,"dims":{"new":5,"cusp":27,"eisenstein":7,"modsym":61},"old":[[29,2,4],[58,2,2],[87,5,2]],"T":[[5,1],[7,3],[11,5],[13,7],[17,9]],"status":"proven","checks":["dim M^+ at levels [1, 2, 3, 6, 29, 58, 87, 174]: [0, 1, 1, 3, 3, 9, 12, 34] (certified at ell = 2147483549)","T = [(5, 1), (7, 3), (11, 5), (13, 7), (17, 9)]; h of degree 5 = 1 x 5 (phi(ord eps) x dim S_k^new); 2 primes, 0 rejected"],"newforms":[{"label":"174.2.a.a","letter":"a","dim":1,"charpoly":["-87","1"],"traces":["1","-1","-1","1","3","1","-3","-1","1","-3","6","-1","0","3","-3","1","7","-1","5","3","3","-6","-8","1","4","0","-1","-3","1","3","-8","-1","-6","-7","-9","1","-3","-5","0","-3","-5","-3","3","6","3","8","9","-1","2","-4","-7","0","-2","1","18","3","-5","-1","-11","-3","-6","8","-3","1","0","6","0","7","8","9","0","-1","-10","3","-4","5","-18","0","-2","3","1","5","0","3","21","-3","-1","-6","10","-3","0","-8","8","-9","15","1","0","-2","6","4","6","7","-5","0","9","2","9","-1","-4","-18","3","-3","1","5","-24","1","0","11","-21","3","25","6","5","-8","-3","3","6","-1","-3","0","-20","-6","-15","0","-3","-7","-6","-8","14","-9","-9","0","0","1","3","10","-2","-3","5","4","1","-5","7","18","-24","0","-7","2","2","-3","24","-1","-1","-5","-18","0","18","-3","-13","-21","5","3","-3","1","-12","6","11","-10","-16","3","-24","0","6","8","-9","-8","42","9","3","-15","23","-1","-20","0","0","2","7","-6","0","-4","0","-6","-3","-7","-15","5","-8","0","30","-9","13","-2","0","-9","9","1","24","4","10","18","0","-3","-8","3","4","-1","5","-5","-5","24","18","-1","-8","0","27","-11","2","21","-6","-3","-7","-25","-1","-6","6","-5","0","8","0","3","-28","-3","-48","-6","-21","1","12","3","9","0","1","20","-7","6","-6","15","-10","0","14","3","20","7","0","6","24","8","2","-14","-8","9","18","9","-22","0","-15","0","15","-1","32","-3","0","-10","22","2","-33","3","-6","-5","0","-4","-9","-1","-6","5","-18","-7","-20","-18","5","24","1","0","-13","7","-9","-2","-12","-2","6","3","-9","-24","35","1","0","1","4","5","-27","18","27","0","-3","-18","0","3","22","13","-1","21","-48","-5","15","-3","24","3","27","-1","-22","12","0","-6","-2","-11","0","10","21","16","21","-3","6","24","-25","0","-30","-6","-26","-8","-5","9","6","8","4","-42","3","-9","0","-3","36","15","-6","-23","-14","1","-54","20","3","0","-32","0","-56","-2","20","-7","-6","6","22","0","15","4","-18","0","0","6","3","3","-18","7","-32","15","6","-5","33","8","0","0","-14","-30","-29","9","-6","-13","9","2","28","0","18","9","0","-9","-12","-1","22","-24","-3","-4","-40","-10","-1","-18","2","0","16","3","30","8","-5","-3","3","-4","-30","1","-1","-5","0","5","3","5","-7","-24","40","-18","8","1","24","8","0","0","0","-27","7","11","18","-2","20","-21","-2","6","16","3","0","7","-24","25","0","1","23","6","1","-6","-6","5","7","0","18","-8","0","0","22","-3","-18","28","19","3","18","48","13","6","-11","21","30","-1","-5","-12","-15","-3","54","-9","3","0","-30","-1","-6","-20","12","7","-56","-6","41","6","-11","-15","0","10","27","0","16","-14","12","-3","45","-20","24","-7","-12","0","26","-6","-6","-24","5","-8","6","-2","9","14","-29","8","0","-9","-42","-18","18","-9","3","22","-3","0","-27","15","-10","0","-23","-15","-32","1","-4","-32","20","3","0","0","-12","10","0","-22","3","-2","-40","33","-7","-3","-20","6","-63","5","0","0","36","4","44","9","0","1","75","6","-16","-5","3","18","0","7","34","20","15","18","37","-5","-5","-24","8","-1","-30","0","-29","13","-30","-7","-21","9","-5","2","-13","12","18","2","0","-6","0","-3","25","9","16","24","-9","-35","-14","-1","-66","0","-24","-1","42","-4","-60","-5","-10","27","-20","-18","4","-27","0","0","-45","3","-8","18","8","0","-36","-3","19","-22","-4","-13","-34","1","0","-21","-5","48","1","5","-18","-15","5","3","0","-24","-12","-3","-18","-27","42","1","-35","22","8","-12","27","0","-15","6","-27","2","-18","11","22","0","-2","-10","64","-21","0","-16","6","-21","-12","3","15","-6","7","-24","4","25","10","0","1","30","21","6","22","26","-6","8","0","5","-32","-9","0","-6","47","-8","15","-4","0","42","-27","-3","-46","9","28","0","3","3","-13","-36","48","-15","-4","6","12","23","21","14","0","-1","-18","54","-12","-20","42","-3","-32","0","-9","32","-25","0","0","56","-1","2","-21","-20","-12","7","7","6","-3","-6","0","-22","6","0","12","-15","63","-4","10","18","-60","0","72","0","-14","-6","-18","-3","-32","-3","-20","18","-3","-7","15","32","0","-15","2","-6","-10","5","-24","-33","8","-8","37","0","-2","0","14","14","54","30","8","29","-15","-9","1","6","-18","13","-39","-9","-75","-2","22","-28","24","0","-17","-18","15","-9","18","0","7","9","-15","12","48","1","-9","-22","-32","24","-12","3","0","4","0","40","9","10","-24","1","-22","18","54","-2","-36","0","33","-16","-24","-3","-18","-30","6","-8","45","5","-48","3","0","-3","-8","4","-14","30","9","-1","-72","1","-12","5","6","0","-40","-5","0","-3","18","-5","60","7","-3","24","20","-40","0","18","-12","-8","-5","-1","42","-24","10","-8","-1","0","126","0","-49","0","13","27","2","-7","40","-11","9","-18","32","2","0","-20","12","21","-12","2","69","-6","-6","-16","18","-3","33","0","9","-7","-60","24","52","-25","-35","0","-42","-1","-42","-23","0","-6","60","-1","60","6","-4","6","-40","-5","21","-7","27","0","-24","-18","-17","8","-27","0","0","0","-41","-22","3","3"],"lmfdb":"agrees","curve":{"cremona":"174e1","lmfdb":"174.a","ainvs":[1,1,0,-56,-192],"rank":0,"torsion":1},"derived":{"al":[[2,1],[3,1],[29,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"174.2.a.b","letter":"b","dim":1,"charpoly":["-41","1"],"traces":["1","-1","1","1","-3","-1","5","-1","1","3","6","1","-4","-5","-3","1","3","-1","-1","-3","5","-6","0","-1","4","4","1","5","-1","3","-4","-1","6","-3","-15","1","-1","1","-4","3","-9","-5","-7","6","-3","0","-3","1","18","-4","3","-4","-6","-1","-18","-5","-1","1","3","-3","-10","4","5","1","12","-6","-4","3","0","15","12","-1","2","1","4","-1","30","4","14","-3","1","9","0","5","-9","7","-1","-6","-6","3","-20","0","-4","3","3","-1","8","-18","6","4","-6","-3","-13","4","-15","6","-9","1","8","18","-1","5","-3","1","0","-1","-4","-3","15","3","25","10","-9","-4","3","-5","-22","-1","-7","-12","12","6","-5","4","-3","-3","-6","0","14","-15","-3","-12","-24","1","3","-2","18","-1","3","-4","17","1","3","-30","12","-4","-13","-14","-6","3","0","-1","5","-9","-18","0","6","-5","3","9","-1","-7","-21","1","20","6","3","6","0","-3","8","20","-10","0","3","4","18","-3","5","-3","-21","1","-4","-8","12","18","9","-6","-16","-4","-4","6","-5","3","27","13","0","-4","-6","15","-25","-6","12","9","21","-1","-20","-8","2","-18","-12","1","-16","-5","4","3","3","-1","-7","0","30","1","24","4","9","3","14","-15","6","-3","17","-25","1","-10","-54","9","4","4","0","-3","0","5","0","22","-9","1","0","7","-5","12","-1","-12","-3","-6","18","5","-6","-4","6","3","20","3","-20","6","24","0","14","-14","-4","15","-6","3","14","12","3","24","-45","-1","-8","-3","8","2","-6","-18","-9","1","6","-3","0","4","-35","-17","-6","-1","30","-3","20","30","-13","-12","21","4","11","13","-15","14","0","6","-6","-3","-9","0","-3","1","-16","-5","8","9","-15","18","17","0","-1","-6","12","5","-10","-3","-3","-9","-24","1","55","7","0","21","-3","-1","2","-20","-4","-6","-30","-3","-36","-6","15","0","9","3","-18","-8","25","-20","-6","10","26","0","-9","-3","-30","-4","20","-18","3","3","4","-5","-28","3","-22","21","-6","-1","-90","4","-7","8","-12","-12","0","-18","12","-9","-42","6","26","16","-5","4","30","4","16","-6","-3","5","-6","-3","8","-27","-6","-13","15","0","0","4","14","6","21","-15","14","25","-3","6","12","-12","-50","-9","-24","-21","36","1","26","20","3","8","0","-2","-1","18","18","12","12","-1","18","16","3","5","15","-4","-54","-3","17","-3","60","1","11","7","3","0","12","-30","-16","-1","12","-24","-12","-4","-20","-9","-13","-3","-42","-14","-4","15","-6","-6","24","3","4","-17","0","25","-24","-1","23","10","5","54","-30","-9","-3","-4","-18","-4","60","0","-22","3","6","0","-33","-5","18","0","3","-22","-21","9","10","-1","-1","0","39","-7","-18","5","-21","-12","6","1","2","12","20","3","-12","6","-23","-18","3","-5","36","6","27","4","0","-6","108","-3","-1","-20","8","-3","-24","20","26","-6","-10","-24","1","0","70","-14","3","14","45","4","28","-15","18","6","-30","-3","9","-14","5","-12","33","-3","-22","-24","-21","45","0","1","-16","8","-4","3","0","-8","-36","-2","12","6","21","18","4","9","9","-1","-24","-6","-45","3","-16","0","-36","-4","32","35","-4","17","-75","6","8","1","-5","-30","12","3","-34","-20","27","-30","33","13","17","12","0","-21","-30","-4","-29","-11","-6","-13","-3","15","-13","-14","-25","0","66","-6","-72","6","12","3","-27","9","-40","0","21","3","-6","-1","18","16","-20","5","42","-8","-36","-9","2","15","0","-18","32","-17","-12","0","15","1","0","6","-16","-12","-60","-5","-13","10","4","3","-18","3","40","9","3","24","-9","-1","18","-55","-7","-7","24","0","-52","-21","30","3","-42","1","-27","-2","24","20","45","4","1","6","9","30","-30","3","14","36","14","6","0","-15","72","0","6","-9","-48","-3","-65","18","17","8","-4","-25","-10","20","1","6","-21","-10","50","-26","-54","0","-24","9","8","3","4","30","-21","4","-9","-20","0","18","-45","-3","-10","-3","0","-4","-51","5","-7","28","0","-3","-36","22","40","-21","-9","6","-12","1","-22","90","0","-4","-6","7","-16","-8","-5","12","9","12","72","0","-1","18","39","-12","32","9","-3","42","-15","-6","40","-26","18","-16","12","5","-9","-4","-6","-30","12","-4","0","-16","6","6","-18","3","20","-5","20","6","-15","3","7","-8","-20","27","54","6","26","13","24","-15","-12","0","-49","0","14","-4","54","-14","-18","-6","-4","-21","-3","15","1","-14","-6","-25","-9","3","125","-6","14","-12","0","12","-19","50","3","9","-18","24","5","21","-45","-36","-36","-1","63","-26","-8","-20","84","-3","16","-8","8","0","15","2","-16","1","-6","-18","-42","-18","56","-12","-9","-12","48","1","-110","-18","6","-16","3","-3","0","-5","0","-15","4","4","-18","54","-35","3","-24","-17","-28","3","-6","-60","-24","-1","0","-11","30","-7","60","-3","29","0","20","-12","-48","30","-4","16","-13","1","18","-12","-18","24","21","12","-54","4","-49","20","11","9","6","13","0","3","-15","42","-12","14","-8","4","0","-15","36","6","63","6","-6","-24","-30","-3","-15","-4","-9","17","12","0","-4","-25","-3","24","18","1","70","-23","-16","-10","-12","-5","-36","-54","8","30","-24","9","-27","3","-15","4","0","18","47","4","17","-60","48","0","-19","22","-1","-3"],"lmfdb":"agrees","curve":{"cremona":"174a1","lmfdb":"174.b","ainvs":[1,0,1,-7705,1226492],"rank":0,"torsion":3},"derived":{"al":[[2,1],[3,-1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"174.2.a.c","letter":"c","dim":1,"charpoly":["-6","1"],"traces":["1","-1","1","1","2","-1","0","-1","1","-2","-4","1","6","0","2","1","-2","-1","4","2","0","4","0","-1","-1","-6","1","0","-1","-2","-4","-1","-4","2","0","1","-6","-4","6","-2","6","0","-12","-4","2","0","-8","1","-7","1","-2","6","-6","-1","-8","0","4","1","8","2","10","4","0","1","12","4","-4","-2","0","0","-8","-1","2","6","-1","4","0","-6","4","2","1","-6","0","0","-4","12","-1","4","14","-2","0","0","-4","8","8","-1","18","7","-4","-1","-6","2","-8","-6","0","6","16","1","-2","8","-6","0","-18","-4","0","-1","6","-8","0","-2","5","-10","6","-4","-12","0","-12","-1","-12","-12","12","-4","0","4","2","2","14","0","4","0","-8","8","-24","1","-2","-2","-7","-6","18","1","-8","-4","-2","0","-8","6","2","-4","-6","-2","0","-1","-20","6","-8","0","16","0","23","4","4","-12","-6","1","0","-4","8","-14","0","2","-2","0","10","0","-12","4","8","-8","0","-8","24","1","26","-18","12","-7","-6","4","24","1","-4","6","0","-2","12","8","0","6","-16","0","-20","-6","-8","-16","-24","-1","0","2","2","-8","-12","6","24","0","-1","18","8","4","-22","0","0","1","-6","-6","-16","8","4","0","16","2","2","-5","1","10","-14","-6","24","4","0","12","20","0","0","12","-4","1","10","12","0","12","-1","-12","-8","4","-12","0","14","-4","-14","-2","20","-2","0","-14","4","0","-26","-4","-4","0","-6","8","4","-8","8","24","0","-1","-13","2","18","2","-6","7","16","6","-4","-18","0","-1","0","8","-6","4","20","2","-20","0","-8","8","-24","-6","26","-2","0","4","-30","6","4","2","16","0","-8","1","-6","20","-2","-6","0","8","12","0","-6","-16","-8","0","10","-23","-18","-4","16","-4","0","12","0","6","-8","-1","22","0","6","4","-30","-8","-16","14","0","0","24","-2","-3","2","5","0","4","-10","-4","0","6","12","0","-4","-10","-8","-12","8","-6","0","12","8","-12","-24","-16","-1","0","-26","-12","18","-22","-12","0","7","12","6","8","-4","-34","-24","0","-1","10","4","-24","-6","2","0","24","2","-22","-12","14","-8","0","0","0","-6","4","16","-24","0","-6","20","-8","6","2","8","0","16","-24","24","-24","1","26","0","-2","-2","0","-2","-16","8","-7","12","12","-6","28","-24","18","0","30","1","-24","-18","-8","-8","0","-4","26","22","-2","0","2","0","-16","-1","-8","6","28","6","0","16","2","-8","48","-4","-4","0","-6","-16","24","-2","-36","-2","0","5","36","-1","8","-10","-20","14","20","6","2","-24","-8","-4","0","0","28","-12","16","-20","-8","0","-12","0","23","-12","34","4","0","-1","4","-10","-16","-12","32","0","-6","-12","-14","1","12","12","0","8","8","-4","-23","12","8","0","36","-14","32","4","0","14","28","2","-6","-20","-2","2","-4","0","-44","14","10","-4","-4","0","0","26","-12","4","10","4","-72","0","8","6","20","-8","-36","-4","0","8","-2","-8","28","-24","24","0","0","1","34","13","26","-2","0","-18","24","-2","12","6","-24","-7","-16","-16","-6","-6","-14","4","0","18","24","0","24","1","-38","0","-4","-8","10","6","28","-4","0","-20","-48","-2","46","20","12","0","38","8","-28","-8","0","24","0","6","-19","-26","-16","2","12","0","32","-4","-20","30","-24","-6","-42","-4","-8","-2","-42","-16","20","0","-24","8","-16","-1","-32","6","0","-20","2","2","24","6","2","0","-20","-8","-18","-12","-12","0","0","6","0","16","24","8","-40","0","2","-10","-1","23","-38","18","0","4","8","-16","-24","4","28","0","-22","-12","-36","0","-12","-6","0","8","8","1","-12","-22","-6","0","-30","-6","-24","-4","-16","30","0","8","14","16","4","-14","0","0","-48","0","16","-24","-8","2","0","3","2","-2","1","-5","20","0","1","-4","24","10","10","4","-14","0","16","-6","28","-12","24","0","-16","4","36","10","0","8","0","12","-20","-8","20","6","-16","0","-22","-12","0","-8","-6","12","0","24","-4","16","48","1","-22","0","10","26","-6","12","4","-18","0","22","24","12","32","0","-1","-7","4","-12","12","-6","-8","-8","0","4","60","34","-12","24","2","0","16","1","14","-10","-8","-4","0","24","-14","6","22","-2","-20","0","20","-24","-40","-2","-48","22","0","12","-6","-14","-4","8","4","0","-12","0","26","0","-26","6","14","-4","32","-16","-4","24","-8","0","1","6","-6","-20","46","8","0","-6","4","-2","0","-8","-14","0","8","-16","-38","24","20","-24","0","24","-56","-1","-12","-26","-13","0","-16","2","-24","2","18","0","0","2","54","16","-6","-8","38","7","36","-12","16","-12","48","6","0","-28","-4","24","-32","-18","0","0","0","-30","4","-1","12","24","0","18","-4","8","12","8","-6","0","-24","4","0","-26","20","-22","0","2","24","0","-20","-2","-48","0","6","16","-8","1","18","8","-28","-6","-24","-28","16","-6","26","0","26","-16","-54","-2","0","8","0","-48","-12","4","12","4","-30","0","-14","6","48","16","4","-24","0","2","-15","36","16","2","52","0","-4","-5","-8","-36","28","1","0","-8","-6","10","18","20","-56","-14","-2","-20","56","-6","-12","-2","0","24","0","8","-8","4","12","0","48","0","-14","-28","-6","12"],"lmfdb":"agrees","curve":{"cremona":"174d1","lmfdb":"174.c","ainvs":[1,0,1,0,-2],"rank":0,"torsion":2},"derived":{"al":[[2,1],[3,-1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"174.2.a.d","letter":"d","dim":1,"charpoly":["57","1"],"traces":["1","1","-1","1","1","-1","1","1","1","1","6","-1","-4","1","-1","1","-7","1","-3","1","-1","6","4","-1","-4","-4","-1","1","-1","-1","0","1","-6","-7","1","1","-7","-3","4","1","5","-1","-5","6","1","4","-5","-1","-6","-4","7","-4","10","-1","6","1","3","-1","3","-1","10","0","1","1","-4","-6","0","-7","-4","1","-4","1","10","-7","4","-3","6","4","-6","1","1","5","16","-1","-7","-5","1","6","-10","1","-4","4","0","-5","-3","-1","-8","-6","6","-4","-2","7","-1","-4","-1","10","7","-1","20","6","7","1","-9","3","4","-1","-4","3","-7","-1","25","10","-5","0","-9","1","14","1","5","-4","0","-6","-3","0","-1","-7","-18","-4","10","1","5","-4","-24","1","-1","10","6","-7","-9","4","-19","-3","-7","6","0","4","-3","-6","-10","1","4","1","-9","5","-6","16","22","-1","3","-7","-3","-5","-9","1","-4","6","-3","-10","-16","1","16","-4","-10","4","-7","0","-42","-5","-1","-3","13","-1","-16","-8","4","-6","21","6","8","-4","0","-2","-1","7","5","-1","4","-4","-18","-1","21","10","4","7","-5","-1","0","20","-10","6","28","7","-8","1","-4","-9","3","3","7","4","-6","-1","-4","-4","-5","3","6","-7","30","-1","-31","25","-1","10","-6","-5","12","0","-16","-9","12","1","24","14","7","1","28","5","-7","-4","-1","0","3","-6","10","-3","10","0","-6","-1","8","-7","4","-18","-24","-4","22","10","0","1","6","5","-14","-4","3","-24","5","1","32","-1","8","10","14","6","3","-7","-6","-9","-16","4","-5","-19","2","-3","10","-7","-28","6","1","0","-5","4","-21","-3","1","-6","-12","-10","-6","1","-7","4","21","1","16","-9","-20","5","-5","-6","19","16","-7","22","0","-1","-14","3","9","-7","0","-3","-13","-5","-4","-9","-11","1","30","-4","4","6","10","-3","-4","-10","7","-16","-1","1","-10","16","-25","-4","10","-10","34","4","5","-7","10","0","24","-42","9","-5","4","-1","-28","-3","-14","13","-34","-1","6","-16","-5","-8","0","4","-28","-6","0","21","-6","6","-26","8","3","-4","-6","0","0","-2","1","-1","-42","7","12","5","18","-1","3","4","16","-4","-10","-18","29","-1","-22","21","-5","10","28","4","10","7","24","-5","-4","-1","-22","0","1","20","-12","-10","-37","6","-6","28","-8","7","-10","-8","9","1","5","-4","30","-9","19","3","-4","3","-5","7","7","4","-4","-6","40","-1","0","-4","-12","-4","0","-5","3","3","-30","6","12","-7","10","30","-8","-1","28","-31","-4","25","-8","-1","-13","10","9","-6","18","-5","7","12","6","0","-4","-16","10","-9","-22","12","25","1","-2","24","-3","14","-33","7","10","1","3","28","-1","5","-30","-7","9","-4","14","-1","-6","0","4","3","0","-6","-7","10","3","-3","-20","10","7","0","16","-6","-36","-1","-23","8","-16","-7","20","4","-46","-18","10","-24","3","-4","-6","22","7","10","25","0","20","1","42","6","22","5","-9","-14","1","-4","-21","3","-46","-24","-13","5","-16","1","-16","32","16","-1","16","8","60","10","-4","14","37","6","0","3","-21","-7","-24","-6","-7","-9","-8","-16","-44","4","8","-5","0","-19","25","2","0","-3","1","10","20","-7","2","-28","-5","6","27","1","-29","0","-4","-5","-10","4","11","-21","18","-3","49","1","7","-6","-21","-12","14","-10","24","-6","-4","1","-41","-7","-20","4","5","21","10","1","18","16","0","-9","-14","-20","0","5","10","-5","0","-6","-36","19","-28","16","-3","-7","-4","22","8","0","60","-1","-21","-14","4","3","-34","9","-8","-7","-3","0","-9","-3","-18","-13","-7","-5","-40","-4","8","-9","6","-11","10","1","-35","30","4","-4","-39","4","21","6","5","10","-2","-3","18","-4","-6","-10","0","7","-24","-16","-30","-1","16","1","-1","-10","31","16","4","-25","38","-4","1","10","35","-10","6","34","6","4","0","5","16","-7","-12","10","29","0","-9","24","16","-42","7","9","14","-5","-12","4","-19","-1","-25","-28","-24","-3","-12","-14","20","13","-7","-34","-12","-1","-2","6","-28","-16","26","-5","0","-8","7","0","-15","4","-24","-28","1","-6","-3","0","32","21","-3","-6","-9","6","-40","-26","-10","8","16","3","35","-4","-10","-6","60","0","4","0","6","-2","42","1","12","-1","-8","-42","-9","7","15","12","-4","5","30","18","26","-1","24","3","-44","4","25","16","-22","-4","42","-10","22","-18","0","29","3","-1","1","-22","-6","21","3","-5","25","10","14","28","-28","4","-13","10","-3","7","6","24","-1","-5","-5","-4","32","-1","-9","-22","-32","0","-36","1","0","20","-8","-12","-9","-10","-32","-37","-14","6","18","-6","16","28","-3","-8","24","7","14","-10","6","-8","15","9","-16","1","16","5","0","-4","-70","30","5","-9","16","19","52","3","-2","-4","-16","3","96","-5","-10","7","0","7","-15","4","28","-4","16","-6","28","40","-1","-1","-18","0","18","-4","5","-12","-42","-4","7","0","21","-5","46","3","20","3","-1","-30","-24","6","-40","12","12","-7","32","10","13","30","6","-8","-18","-1","-31","28","7","-31","-16","-4","-32","25","-21","-8","14","-1","10","-13","-16","10","4","9","-60","-6","20","18","-8","-5","21","7","5","12","-20","6","-5","0","-19","-4","8","-16","-37","10","7","-9"],"lmfdb":"agrees","curve":{"cremona":"174c1","lmfdb":"174.d","ainvs":[1,1,1,-5,-7],"rank":0,"torsion":1},"derived":{"al":[[2,-1],[3,1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"174.2.a.e","letter":"e","dim":1,"charpoly":["35","1"],"traces":["1","1","1","1","-1","1","1","1","1","-1","-2","1","0","1","-1","1","-3","1","-1","-1","1","-2","-4","1","-4","0","1","1","1","-1","4","1","-2","-3","-1","1","3","-1","0","-1","-7","1","9","-2","-1","-4","-1","1","-6","-4","-3","0","-2","1","2","1","-1","1","-3","-1","6","4","1","1","0","-2","12","-3","-4","-1","16","1","-10","3","-4","-1","-2","0","10","-1","1","-7","0","1","3","9","1","-2","6","-1","0","-4","4","-1","1","1","0","-6","-2","-4","18","-3","-1","0","-1","-2","17","1","-16","2","3","1","-5","-1","4","1","0","-3","-3","-1","-7","6","-7","4","9","1","2","1","9","0","-8","-2","-1","12","-1","-3","-2","-4","-14","-1","-1","16","0","1","-1","-10","-6","3","17","-4","5","-1","-3","-2","-4","0","-17","10","-2","-1","-4","1","-11","-7","2","0","-14","1","-13","3","-1","9","-15","1","-4","-2","-3","6","-16","-1","0","0","6","-4","-3","4","6","-1","1","1","17","1","-16","0","0","-6","-5","-2","-24","-4","12","18","1","-3","7","-1","-4","0","2","-1","23","-2","16","17","-9","1","4","-16","-10","2","0","3","0","1","-4","-5","-3","-1","13","4","-2","1","-4","0","1","-3","10","-3","2","-1","25","-7","1","6","6","-7","0","4","0","9","0","1","8","2","3","1","-8","9","3","0","1","-8","-9","-2","2","-1","6","12","18","-1","-8","-3","0","-2","8","-4","26","-14","4","-1","30","-1","-10","16","1","0","-7","1","-8","-1","0","-10","-14","-6","3","3","-2","17","0","-4","9","5","18","-1","-6","-3","28","-2","-1","-4","-17","0","-29","-17","-1","10","24","-2","-2","-1","17","-4","3","1","0","-11","-16","-7","-1","2","17","0","3","-14","-12","1","2","-13","-5","3","-8","-1","-13","9","4","-15","-37","1","14","-4","0","-2","-10","-3","-16","6","-3","-16","3","-1","-18","0","-7","0","10","6","-10","-4","-7","-3","-2","4","-32","6","9","-1","0","1","-12","1","2","17","6","1","2","-16","9","0","12","0","12","-6","-8","-5","-10","-2","-22","-24","-1","-4","10","12","0","18","-1","1","-6","-3","4","7","-2","-1","-3","-4","0","0","-14","2","35","-1","30","23","-1","-2","12","16","6","17","0","-9","12","1","14","4","-1","-16","4","-10","-29","2","-6","0","-4","3","-6","0","17","1","9","-4","14","-5","5","-3","0","-1","3","13","-3","4","0","-2","16","1","-4","-4","-8","0","12","1","-17","-3","-18","10","4","-3","-2","2","32","-1","0","25","-4","-7","0","1","-37","6","-11","6","2","-7","-3","0","2","4","16","0","38","9","-14","0","21","1","-18","8","-13","2","-15","3","-10","1","-1","-8","1","9","2","3","-15","0","-38","1","34","-8","-4","-9","-12","-2","-7","2","-3","-1","0","6","-17","12","-16","18","12","-1","3","-8","0","-3","16","0","2","-2","6","8","-1","-4","10","26","-3","-14","-9","4","0","-1","6","30","-10","-1","5","-10","1","16","31","1","-2","0","17","-7","16","1","4","-8","-16","-1","0","0","4","-10","0","-14","-21","-6","-4","3","-5","3","-36","-2","3","17","-24","0","12","-4","28","9","12","5","7","18","-8","-1","1","-6","0","-3","-2","28","7","-2","-33","-1","-31","-4","-4","-17","6","0","11","-29","2","-17","-9","-1","23","10","23","24","-2","-2","0","-2","16","-1","-37","17","28","-4","-9","3","18","1","6","0","4","-11","10","-16","8","-7","-10","-1","-12","2","-24","17","0","0","1","3","-4","-14","0","-12","-12","1","-5","2","-4","-13","6","-5","0","3","-3","-8","-23","-1","2","-13","13","9","0","4","-8","-15","-2","-37","14","1","21","14","-4","-4","-33","0","-3","-2","1","-10","18","-3","-46","-16","10","6","-16","-3","0","-16","2","3","20","-1","-1","-18","25","0","-4","-7","-14","0","1","10","-27","6","34","-10","6","-4","-24","-7","40","-3","0","-2","9","4","-17","-32","0","6","17","9","-46","-1","0","0","-5","1","37","-12","8","1","20","2","-16","17","3","6","0","1","42","2","-8","-16","18","9","-16","0","3","12","7","0","-32","12","1","-6","17","-8","4","-5","-9","-10","-5","-2","0","-22","2","-24","-56","-1","3","-4","6","10","20","12","4","0","18","18","26","-1","56","1","-8","-6","11","-3","-9","4","0","7","10","-2","-2","-1","8","-3","16","-4","11","0","26","0","18","-14","14","2","4","35","-49","-1","1","30","30","23","13","-1","-7","-2","-10","12","-12","16","-7","6","1","17","-38","0","-43","-9","-7","12","52","1","15","14","-8","4","-20","-1","0","-16","0","4","9","-10","24","-29","-14","2","-14","-6","-12","0","3","-4","48","3","2","-6","-2","0","1","17","16","1","0","9","4","-4","6","14","9","-5","0","5","-44","-3","18","0","16","-1","0","3","-6","13","-8","-3","-39","4","28","0","0","-2","-12","16","-1","1","6","-4","6","-4","-17","-8","-6","0","7","12","-29","1","-38","-17","28","-3","-1","-18","52","10","0","4","24","-3","16","-2","-17","2","-2","32","-2","-1","-15","0","17","25","16","-4","-40","-7","3","0","-22","1","-14","-37","0","6","12","-11","-12","6","-16","2","-24","-7","5","-3","-1","0","-36","2","19","4","17","16","24","0","25","38","3","9"],"lmfdb":"agrees","curve":{"cremona":"174b1","lmfdb":"174.e","ainvs":[1,0,0,-1,137],"rank":0,"torsion":7},"derived":{"al":[[2,-1],[3,-1],[29,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.108,"computed":"atlas","estimate":{"seconds":0.253,"low":0.154,"high":0.437,"bytes":1883018},"url":"https://sagebrush.space/atlas/mf/174.2.a"}