{"label":"458.2.a.b","letter":"b","dim":1,"charpoly":["4","1"],"traces":["1","1","-1","1","-1","-1","-4","1","-2","-1","-1","-1","-2","-4","1","1","-3","-2","1","-1","4","-1","2","-1","-4","-2","5","-4","-6","1","8","1","1","-3","4","-2","-6","1","2","-1","0","4","1","-1","2","2","-2","-1","9","-4","3","-2","2","5","1","-4","-1","-6","-2","1","-1","8","8","1","2","1","-10","-3","-2","4","-1","-2","-4","-6","4","1","4","2","4","-1","1","0","5","4","3","1","6","-1","12","2","8","2","-8","-2","-1","-1","3","9","2","-4","-8","3","-11","-2","-4","2","18","5","2","1","6","-4","-6","-1","-2","-6","4","-2","12","1","-10","-1","0","8","9","8","-18","1","-1","2","18","1","-4","-10","-5","-3","-16","-2","4","4","2","-1","2","-2","6","-4","-9","-6","1","4","-23","1","6","4","-8","2","-14","4","-2","-1","-8","1","-16","0","-1","5","-1","4","-9","3","-2","1","2","6","16","-1","2","12","-2","2","5","8","1","2","6","-8","3","-2","-20","-1","-16","-1","18","3","-2","9","-24","2","-18","-4","10","-8","24","3","0","-11","-4","-2","-1","-4","22","2","1","18","-1","5","-32","2","4","1","6","6","-8","-4","8","-6","16","-1","1","-2","-4","-6","3","4","2","-2","-4","12","4","1","-14","-10","-16","-1","-9","0","-2","8","-5","9","22","8","-2","-18","-3","1","-24","-1","24","2","12","18","2","1","-2","-4","-12","-10","14","-5","11","-3","-8","-16","4","-2","-5","4","-16","4","-10","2","-6","-1","1","2","0","-2","-8","6","-3","-4","5","-9","2","-6","-5","1","-4","4","-4","-23","8","1","1","6","-23","4","11","-8","3","2","20","-14","-8","4","-24","-2","6","-1","-18","-8","-3","1","8","-16","-2","0","8","-1","-2","5","12","-1","10","4","9","-9","6","3","-8","-2","-8","1","2","2","12","6","28","16","-10","-1","0","2","1","12","-12","-2","8","2","-18","5","10","8","4","1","-13","2","0","6","-8","-8","19","3","-9","-2","12","-20","-22","-1","18","-16","8","-1","-4","18","-2","3","12","-2","-6","9","-18","-24","-4","2","-29","-18","4","-4","29","10","-16","-8","-1","24","6","3","-5","0","16","-11","8","-4","-5","-2","-4","-1","30","-4","33","22","4","2","12","1","4","18","-2","-1","21","5","-17","-32","-6","2","2","4","-32","1","-18","6","36","6","-12","-8","-1","-4","30","8","0","-6","23","16","-8","-1","33","1","-15","-2","30","-4","37","-6","8","3","25","4","40","2","14","-2","-1","-4","-4","12","-4","4","-24","1","12","-14","8","-10","-3","-16","-30","-1","16","-9","5","0","18","-2","-2","8","4","-5","10","9","1","22","24","8","8","-2","9","-18","-34","-3","16","1","5","-24","11","-1","2","24","-2","2","4","12","38","18","-16","2","-24","1","-19","-2","4","-4","0","-12","-18","-10","2","14","-9","-5","-14","11","-5","-3","-2","-8","6","-16","2","4","-6","-2","-16","-5","-6","4","-19","-16","-2","4","-3","-10","-30","2","6","-6","-4","-1","-15","1","-10","2","16","0","-8","-2","-18","-8","-18","6","-20","-3","-2","-4","-4","5","-17","-9","8","2","24","-6","42","-5","-12","1","18","-4","-12","4","-22","-4","20","-23","10","8","-8","1","-24","1","4","6","2","-23","0","4","6","11","0","-8","10","3","-48","2","11","20","1","-14","18","-8","-11","4","-22","-24","18","-2","-18","6","2","-1","-33","-18","-20","-8","1","-3","-10","1","2","8","32","-16","-4","-2","-18","0","8","8","-16","-1","25","-2","-6","5","4","12","-12","-1","8","10","1","4","-41","9","-20","-9","30","6","-12","3","-16","-8","-29","-2","16","-8","-1","1","-4","2","16","2","-8","12","-4","6","0","28","-3","16","-49","-10","-6","-1","-2","0","32","2","38","1","-8","12","16","-12","-2","-2","-4","8","0","2","44","-18","14","5","24","10","32","8","13","4","-3","1","-9","-13","9","2","10","0","20","6","2","-8","-33","-8","-1","19","-10","3","-72","-9","-53","-2","-22","12","23","-20","-37","-22","2","-1","30","18","-8","-16","-6","8","4","-1","49","-4","24","18","-50","-2","-32","3","-24","12","0","-2","1","-6","-30","9","14","-18","-1","-24","-2","-4","24","2","2","-29","2","-18","-30","4","6","-4","-24","29","4","10","8","-16","-14","-8","-40","-1","48","24","-11","6","16","3","1","-5","-16","0","13","16","8","-11","-4","8","2","-4","-36","-5","5","-2","-27","-4","1","-1","40","30","-18","-4","7","33","10","22","9","4","40","2","6","12","-12","1","22","4","2","18","24","-2","-27","-1","0","21","-33","5","-2","-17","8","-32","-4","-6","20","2","-6","2","-36","4","6","-32","-5","1","-4","-18","31","6","-2","36","8","6","72","-12","-1","-8","-2","-1","2","-4","4","30","-48","8","-6","0","4","-6","-5","23","-32","16","16","-8","25","-1","-5","33","-1","1","-72","-15","39","-2","23","30","2","-4","24","37","22","-6","38","8","9","3","-3","25","-3","4","0","40","-20","2","21","14","0","-2","20","-1","26","-4","8","-4","24","12","-51","-4","16","4","-6","-24","64","1","33","12","-36","-14","-18","8","-44","-10","3","-3","-41","-16","-16","-30","-8","-1","46","16","-12","-9","-4","5","-46","0","24","18","-8","-2","2","-2","-1","8","2","4","18","-5","1","10","-30","9"],"lmfdb":"agrees","curve":{"cremona":"458b1","lmfdb":"458.b","ainvs":[1,1,1,-16,-15],"rank":1,"torsion":1},"space":"458.2.a","level":458,"weight":2,"T":[[3,1],[5,3]],"status":"proven","derived":{"al":[[2,-1],[229,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/458.2.a.b"}