{"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},"space":"174.2.a","level":174,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,1],[3,-1],[29,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/174.2.a.b"}