{"label":"649.2.a.a","letter":"a","dim":1,"charpoly":["39","1"],"traces":["1","-1","1","-1","-1","-1","1","3","-2","1","1","-1","-4","-1","-1","-1","-2","2","-1","1","1","-1","6","3","-4","4","-5","-1","-9","1","2","-5","1","2","-1","2","-4","1","-4","-3","-3","-1","6","-1","2","-6","-12","-1","-6","4","-2","4","-13","5","-1","3","-1","9","1","1","8","-2","-2","7","4","-1","10","2","6","1","0","-6","-4","4","-4","1","1","4","-1","1","1","3","-6","-1","2","-6","-9","3","0","-2","-4","-6","2","12","1","-5","-2","6","-2","4","-2","2","-4","-12","-1","13","11","5","-6","1","-4","-1","-10","1","-6","9","8","-1","-2","-3","1","-8","-3","-2","9","2","15","3","6","-4","12","-1","-1","-10","5","-6","-17","-6","20","1","-12","0","-4","2","9","4","-6","4","10","4","-4","-3","4","-1","-2","4","22","1","-13","5","6","-1","-4","3","-1","6","17","3","3","-2","2","-6","22","9","-4","-1","1","0","-10","-2","5","4","8","18","4","-2","-2","12","-5","-1","-14","7","1","2","4","6","-26","2","7","-12","10","2","-9","2","3","4","-12","4","-1","1","8","13","0","-11","-6","-15","2","6","-4","1","8","4","16","-5","8","10","-22","1","-10","6","1","-27","8","-8","12","-1","-1","2","25","1","15","-1","16","-8","6","3","4","6","-6","-9","-5","2","6","-15","2","-17","-27","-6","-4","-4","18","-12","-27","3","13","1","0","-10","-26","-5","-29","2","-4","17","-4","-6","-19","-20","-4","-3","9","12","6","0","1","4","-3","10","-13","-9","-2","4","7","6","-1","-12","-5","-10","-24","4","6","4","-2","1","-8","-4","5","-1","-4","2","-21","-12","22","-22","2","1","-2","13","-9","-7","11","-6","2","-1","16","4","-6","-9","-12","1","-3","6","8","-17","-10","-1","18","-3","-10","-2","2","-2","-13","18","-6","-22","6","9","-20","4","20","-5","26","-1","0","0","-2","10","-9","6","-18","-5","1","4","4","-8","-22","-6","6","-4","-13","-2","-22","2","9","-36","36","5","19","-1","15","14","32","3","-1","-1","-12","2","-26","-4","-12","-18","12","26","1","2","-8","-7","-1","4","0","-10","-8","2","-1","9","-4","-6","0","-3","-17","4","1","12","6","20","20","1","-30","1","-14","-8","24","-39","8","0","8","-11","-4","6","-36","5","-13","-2","9","6","-6","4","0","-3","12","-8","38","4","0","-16","10","7","21","-8","-3","10","-4","22","4","-3","20","10","10","6","6","-1","-26","9","-2","-8","-18","-8","10","-12","22","3","6","1","4","2","26","-25","-28","5","16","-15","6","-1","2","-16","15","24","-4","-6","1","3","18","-4","2","-2","0","6","29","-9","17","5","6","-6","2","-6","3","-15","-24","-2","-4","11","5","27","4","-6","-12","4","22","12","30","-18","45","-12","-4","27","-4","-1","13","-13","-2","1","12","0","-11","30","-10","26","-6","-5","18","29","5","10","6","4","28","17","-16","4","9","18","-1","19","4","-20","13","4","-24","1","-2","-9","-16","12","10","-6","1","0","-46","-1","-4","4","-14","3","-24","-14","-15","13","1","-9","-6","2","-13","-12","-8","-7","16","6","-2","1","-26","4","-1","5","2","-10","7","24","1","-12","4","-6","-20","4","-1","2","13","5","-9","8","48","-4","-20","-5","3","3","21","4","-21","2","-30","21","0","4","11","-22","-1","-22","8","-2","-48","-3","8","2","-15","13","24","9","0","-3","-30","-11","-19","-6","-6","-2","3","3","1","-16","2","4","47","6","-12","3","8","12","-6","1","-1","3","8","-18","1","-8","-54","-17","16","10","8","-5","-12","-18","20","-3","-38","10","-2","6","-22","-2","44","-2","17","13","-10","-6","52","6","10","-22","-2","-6","-20","-27","6","20","8","4","-10","-20","4","7","12","-26","-2","-1","17","0","2","0","12","2","4","10","25","9","-2","-2","-4","18","15","-5","36","-1","-16","-12","13","-4","-12","-8","46","22","6","-30","10","-6","12","-4","4","13","0","6","-10","22","12","2","11","-9","24","12","-5","-36","4","5","-47","-19","6","3","-17","-15","-6","14","-4","-32","-4","-17","-32","1","-27","-1","18","12","-8","-6","-4","26","3","-4","0","12","45","6","-22","-12","16","26","-27","-1","-10","-6","-32","8","13","-7","38","1","24","20","0","0","-4","-10","-6","8","-26","-6","-6","1","-34","9","-29","4","4","2","-6","0","8","-3","8","17","-38","-12","-4","-1","24","12","29","-6","-19","-28","12","-20","-17","1","-10","30","-20","-3","52","14","9","-8","-3","-24","1","13","6","-8","-24","0","51","-8","-2","33","22","4","-40","6","-3","36","-36","25","-22","13","-13","-2","-1","-9","-40","-18","4","6","9","4","-13","0","7","1","-8","-12","39","-8","-1","-38","30","-12","15","0","1","-16","12","-10","10","3","-24","-21","-18","-8","26","3","6","-30","-5","4","-7","22","4","-4","-13","1","-6","-20","-8","10","12","-10","-12","-18","5","-6","0","-1","16","26","8","45","-6","2","6","-8","-21","18","2","24","34","-10","22","-12","24","-22","-18","-1","5","-6","21","1","16","-4","-2","-6","-18","-26","14","-25","-9","28","-17","-7","-27","-16","-22","-15","-1","-6","8","3","2","-2","15","-16","20","-15","16","-8","-32","4","0","-6","12","-1","-8","-9","26","-18","-12","-4","36","-2","8","-10","-3","0","-7","6","-45","-29","20","27"],"lmfdb":"agrees","curve":{"cremona":"649a1","lmfdb":"649.a","ainvs":[1,0,0,-1,4],"rank":1,"torsion":1},"space":"649.2.a","level":649,"weight":2,"T":[[2,1],[3,3],[7,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[11,-1],[59,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/649.2.a.a"}