{"label":"831.2.a.a","letter":"a","dim":1,"charpoly":["1","1"],"traces":["1","-1","1","-1","0","-1","-2","3","1","0","-3","-1","3","2","0","-1","-2","-1","-2","0","-2","3","0","3","-5","-3","1","2","3","0","-5","-5","-3","2","0","-1","-10","2","3","0","-3","2","1","3","0","0","2","-1","-3","5","-2","-3","-12","-1","0","-6","-2","-3","10","0","-12","5","-2","7","0","3","0","2","0","0","12","3","-10","10","-5","2","6","-3","-6","0","1","3","-2","2","0","-1","3","-9","3","0","-6","0","-5","-2","0","-5","-6","3","-3","5","-10","2","1","9","0","12","1","-1","0","0","-10","2","15","2","0","-3","3","-10","4","0","-2","12","-3","5","0","2","-7","3","1","0","8","3","4","0","0","-6","-12","0","-4","0","2","-12","-9","-1","0","10","-3","10","0","5","8","-6","-2","-6","0","-3","23","6","-12","0","0","-1","4","3","0","2","13","-6","-4","0","-2","-1","-20","-3","10","3","10","-3","0","0","-6","6","-12","0","0","5","6","-2","-2","0","2","7","19","6","0","3","2","3","16","-15","0","10","-6","2","0","-1","0","-3","6","0","4","12","12","-1","0","3","10","0","-10","0","-6","10","20","10","-5","-15","19","2","5","0","6","9","18","-3","0","-10","-6","-4","21","0","23","2","1","12","0","3","-6","-15","-2","0","-12","2","0","7","0","-17","0","-1","20","0","3","-8","-7","-9","0","-4","3","0","0","0","-11","2","-6","12","15","0","1","4","-5","0","-10","-2","-28","-12","0","9","6","-5","-13","0","-6","10","-2","3","0","-30","-3","0","0","5","-2","-8","-10","2","0","2","-28","-6","1","0","-6","9","-2","-23","0","6","27","12","-9","0","1","0","4","-1","-15","-4","0","-9","-4","0","1","2","-10","-13","0","2","-18","4","15","0","15","2","20","3","0","20","18","-3","26","-10","3","15","-17","-10","0","-3","4","0","-24","0","-15","6","-2","6","0","12","-28","0","-3","0","24","5","26","-6","0","6","9","2","-30","0","-7","-2","-28","3","0","-19","1","6","-19","0","0","-9","8","-2","0","3","7","-16","4","5","-14","0","-15","10","0","6","30","-6","-14","0","-12","-1","-20","0","0","-15","-4","-6","-17","0","10","-4","2","-36","10","-12","24","-1","-9","0","-8","-1","-11","-10","0","0","0","10","-3","0","-3","6","-1","10","0","-20","0","-14","-34","5","9","-15","8","-19","0","-6","18","-5","-2","0","-12","-6","22","-3","0","-18","-36","-3","0","0","23","30","-3","6","10","-4","-12","-21","16","0","-30","-23","0","2","0","-1","-18","-36","4","0","-6","3","-6","6","0","5","-24","2","12","0","13","12","40","-6","0","0","-4","7","-20","0","20","11","-2","0","0","-1","-6","-20","-20","0","14","-3","-25","-8","10","7","10","3","-23","0","10","-4","-9","-3","0","0","0","0","9","0","13","11","-6","10","0","6","6","12","-12","-15","-6","0","12","-1","0","4","23","5","3","0","6","10","24","-2","0","28","-2","36","-14","0","19","9","2","-6","0","7","1","13","19","0","4","6","36","-30","0","2","-23","3","10","0","2","10","33","3","0","0","16","0","39","-15","-26","2","0","-8","0","10","23","10","-6","0","6","2","-23","28","0","18","13","-1","36","0","0","6","-6","-3","25","2","6","-23","20","0","-15","-18","4","-27","0","12","-9","9","12","0","-37","-1","-38","0","0","-4","37","3","-30","15","10","-4","0","0","0","3","-10","4","-33","0","-14","-1","-6","-6","0","10","0","-13","20","0","36","10","-34","18","-5","4","42","-15","12","0","19","-15","-8","2","0","-20","5","-1","-36","0","17","20","6","-18","0","9","6","-26","18","-10","25","-3","20","-21","0","17","20","-10","31","0","-6","9","0","-4","0","0","21","24","-2","0","-2","15","23","6","-15","2","23","-18","1","0","-2","12","26","28","0","0","0","3","-22","0","-6","-24","30","-15","0","-26","-2","-6","-2","0","-24","-2","-12","-9","0","2","11","30","0","0","-50","7","0","-2","0","28","30","-17","15","0","0","-19","-42","-1","25","-18","20","19","6","0","-36","0","3","3","0","-8","-9","-2","-7","0","-30","-9","-36","-7","0","-16","-1","-4","-4","25","3","14","30","0","0","15","0","-30","5","0","5","6","-11","-30","0","2","-2","14","-6","0","-27","12","-24","3","15","20","12","0","-32","0","1","21","6","4","0","-6","-5","17","-9","0","-20","-10","-10","-4","0","-2","4","12","-28","-10","0","-12","6","-24","0","3","12","9","-6","0","6","8","33","-5","0","11","-13","-10","18","0","0","0","-6","0","0","10","42","3","-2","0","-8","3","54","6","0","1","3","-30","14","0","-3","-20","-4","0","0","-6","0","34","-15","5","24","-9","-2","45","0","-8","2","-19","-10","0","-51","2","6","-18","0","-5","-16","2","50","0","-28","12","36","-6","50","-22","1","-15","-4","0","6","-18","-6","36","0","9","-39","0","-2","0","4","-23","0","-10","0","3","-6","6","-30","-10","27","12","-22","12","0","-21","-9","-16","24","0","-6","30","1","-23","0","0","-24","-6","4","0","-15","-1","8","18","-15","12","33","-4","-9","0","0","6","-7","-9","0","6","-4","6","0","0","-18","25","1","24","0","2","-12","-12","-10","0"],"lmfdb":"agrees","curve":{"cremona":"831a1","lmfdb":"831.a","ainvs":[1,0,0,-68,285],"rank":1,"torsion":1},"space":"831.2.a","level":831,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,-1],[277,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/831.2.a.a"}