{"label":"537.2.a.e","letter":"e","dim":1,"charpoly":["-32","1"],"traces":["1","1","1","-1","4","1","1","-3","1","4","2","-1","-1","1","4","-1","-6","1","2","-4","1","2","-2","-3","11","-1","1","-1","2","4","-2","5","2","-6","4","-1","-4","2","-1","-12","-5","1","6","-2","4","-2","-3","-1","-6","11","-6","1","11","1","8","-3","2","2","-7","-4","-1","-2","1","7","-4","2","-12","6","-2","4","0","-3","-2","-4","11","-2","2","-1","-5","-4","1","-5","11","-1","-24","6","2","-6","-12","4","-1","2","-2","-3","8","5","-6","-6","2","-11","-14","-6","-12","3","4","11","15","-1","-12","8","-4","-1","11","2","-8","-2","-1","-7","-6","-12","-7","-1","-5","2","24","1","8","-3","6","-4","16","-2","2","-12","4","18","-19","-2","16","-4","-3","0","-2","-1","8","-2","-6","4","8","11","0","-6","-6","2","-8","1","-2","-5","11","20","-2","1","12","5","8","11","8","-3","-12","-24","2","-6","18","2","11","-2","-7","-12","-1","-4","2","-1","-1","6","-16","-2","-12","3","1","8","24","7","9","-6","-4","6","-21","2","-18","-33","-12","-14","2","6","-20","-12","-2","1","4","4","0","-11","0","15","24","-3","-2","-12","-2","-8","6","-4","15","5","11","11","12","-2","-2","-8","2","-6","-25","-1","-12","7","-5","-6","-15","-4","26","-7","1","1","-24","-5","-2","6","11","24","30","-1","-4","8","-24","-17","23","6","-4","4","2","16","24","-6","44","2","-12","12","10","4","-20","6","-1","-19","22","2","22","16","-2","-12","22","-3","5","0","8","-2","-5","5","19","8","-6","2","26","-6","-28","12","2","8","2","-11","6","0","-14","-2","-4","-6","21","-2","-12","-8","-24","3","-26","-2","4","5","4","11","4","28","15","-2","-12","-1","-11","12","-12","15","-3","8","-3","-11","-4","8","-48","-1","21","-12","11","24","-4","2","-13","-18","-8","18","-3","-2","2","11","-1","10","-22","-7","0","12","-6","-1","13","-12","-15","2","-7","1","-8","-1","-16","2","-5","-16","11","2","7","-12","24","9","-2","1","29","-8","8","24","21","-3","8","9","6","6","32","-4","12","18","16","-21","-20","-2","-27","-18","2","-11","-22","-12","2","14","4","2","-8","18","5","-20","-19","12","-7","-2","44","-5","16","4","-35","-4","16","0","-3","-33","-66","0","-1","-15","-2","24","-24","-1","-29","-2","8","12","-4","-2","-10","-24","-6","6","21","4","-48","15","8","7","-6","11","-10","-11","0","12","-4","-6","-12","-2","-6","8","7","2","-5","-2","-8","-25","-18","1","-12","-12","-2","21","12","-5","22","6","11","-15","-24","20","4","26","-2","7","-24","1","38","3","12","-24","40","5","-12","-2","8","2","0","11","-10","-24","8","30","23","-3","-56","-4","-12","-8","20","-24","-2","-11","2","23","-48","-6","-6","-4","18","12","3","2","-20","-16","11","24","12","-2","-19","44","-7","-2","5","-12","60","36","-1","10","-12","-4","-10","-20","2","-30","-48","-1","33","19","-1","22","4","6","-5","22","-16","-16","-46","-2","-6","-4","-12","22","10","3","44","5","1","0","-35","8","-7","2","24","-5","-22","7","-34","19","9","-8","11","-6","22","6","-4","26","18","6","-4","-28","-21","4","26","2","-24","-8","-18","2","24","-33","-42","6","-12","0","-28","-14","12","10","2","-4","3","6","-35","21","-20","-6","-12","-12","-28","8","-2","-24","-12","1","41","-26","4","2","24","4","-32","15","0","4","32","-11","6","4","0","-12","21","15","-10","2","24","-12","-29","-3","-14","-11","-2","-12","42","-12","64","5","-2","-3","-42","-8","-5","-3","6","-33","8","-4","-4","-8","15","-48","-2","5","-2","21","11","12","-27","11","-6","72","12","-4","-7","-2","-76","-13","-2","-6","-11","-8","-31","-18","2","-3","64","-6","30","2","-25","-11","31","-1","-8","14","-12","-22","-14","7","-9","0","-5","36","4","-6","-8","1","-15","13","32","-4","-12","-15","26","-2","22","-7","-17","3","1","-8","-36","1","34","-16","-24","-10","-24","-5","35","16","-2","11","0","6","32","7","11","12","15","24","44","3","30","-2","0","-1","-10","29","-4","-24","32","8","-12","-24","-24","21","7","-17","-38","8","23","-9","50","6","-22","18","-4","32","-10","4","0","12","2","6","-8","16","13","21","24","-20","11","-6","1","-27","44","18","18","2","18","55","-12","-22","-4","12","-8","2","10","42","16","4","2","-2","-20","-8","48","6","12","5","-1","20","11","-19","40","36","22","-7","12","2","32","44","22","-7","36","16","32","-4","-2","-35","-4","-12","-25","16","22","0","-48","-3","-7","-11","5","-66","8","0","34","-1","8","-45","-30","-2","-9","-24","-5","-24","-36","5","72","-29","19","2","-10","8","12","36","-6","-4","24","2","31","-10","26","-8","18","-6","-24","-6","-28","21","-45","12","8","-48","2","-15","-6","8","-4","-3","2","-6","-4","-11","-66","-10","6","-33","8","0","-16","-12","-14","-4","31","-2","22","-12","-4","2","16","-6","-11","24","21","7","0","-2","-44","-5","-12","10","39","-8","-12","25","-24","-18","-48","3","2","-12","-26","12","-48","-2","10","7","4","12","4","5","2","22","4","18","-22","11","96","15","4","-24","-19","28","-27","4","15","-26","36","-2","55","21","-12","-24","-57","-1","16","38","-11","1","-2","12","-24","24","-12","40","35","15","-84","-12","-3","2","-12","8","17","-10","-3","0","-72","-11","-26","-10","-4","-72"],"lmfdb":"agrees","curve":{"cremona":"537d1","lmfdb":"537.e","ainvs":[1,0,1,1,-1],"rank":0,"torsion":1},"space":"537.2.a","level":537,"weight":2,"T":[[2,1],[5,3],[7,5],[11,7]],"status":"proven","derived":{"al":[[3,-1],[179,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/537.2.a.e"}