{"label":"978.2.a.g","letter":"g","dim":1,"charpoly":["90","1"],"traces":["1","1","1","1","-3","1","-3","1","1","-3","-4","1","1","-3","-3","1","-6","1","-2","-3","-3","-4","-1","1","4","1","1","-3","-3","-3","7","1","-4","-6","9","1","-6","-2","1","-3","5","-3","-7","-4","-3","-1","2","1","2","4","-6","1","-6","1","12","-3","-2","-3","-10","-3","8","7","-3","1","-3","-4","6","-6","-1","9","14","1","-4","-6","4","-2","12","1","8","-3","1","5","-1","-3","18","-7","-3","-4","-10","-3","-3","-1","7","2","6","1","11","2","-4","4","-6","-6","-13","1","9","-6","4","1","11","12","-6","-3","-6","-2","3","-3","1","-10","18","-3","5","8","5","7","3","-3","-11","1","-7","-3","4","-4","6","6","-3","-6","-8","-1","-10","9","2","14","-4","1","9","-4","2","-6","-15","4","12","-2","-6","12","-21","1","22","8","-6","-3","3","1","-1","5","12","-1","0","-3","-12","18","-2","-7","18","-3","-12","-4","-10","-10","-13","-3","-19","-3","8","-1","18","7","24","2","-3","6","-25","1","-12","11","-3","2","-12","-4","-8","4","6","-6","9","-6","-15","-13","-1","1","8","9","2","-6","14","4","21","1","-21","11","-4","12","-6","-6","8","-3","4","-6","9","-2","-6","3","12","-3","-24","1","-6","-10","8","18","25","-3","20","5","1","8","-6","5","-2","7","-1","3","25","-3","4","-11","18","1","-10","-7","18","-3","-3","4","-14","-4","18","6","-10","6","-31","-3","21","-6","-3","-8","-16","-1","6","-10","7","9","-5","2","-10","14","6","-4","-15","1","19","9","11","-4","13","2","30","-6","-4","-15","-1","4","21","12","-6","-2","-24","-6","-21","12","-13","-21","3","1","5","22","9","8","-22","-6","12","-3","4","3","12","1","4","-1","11","5","-6","12","-10","-1","-6","0","-18","-3","20","-12","-6","18","-28","-2","15","-7","3","18","-9","-3","26","-12","1","-4","-14","-10","-42","-10","18","-13","6","-3","-15","-19","5","-3","12","8","26","-1","5","18","18","7","-36","24","3","2","-3","-3","5","6","-11","-25","16","1","-36","-12","-7","11","-31","-3","6","2","4","-12","-24","-4","-26","-8","6","4","10","6","7","-6","-3","9","24","-6","-26","-15","-8","-13","30","-1","3","1","-10","8","-21","9","-10","2","2","-6","-24","14","-24","4","-4","21","33","1","-6","-21","9","11","2","-4","22","12","2","-6","12","-6","30","8","-15","-3","-32","4","-20","-6","12","9","9","-2","-35","-6","-6","3","20","12","8","-3","-21","-24","8","1","-18","-6","22","-10","28","8","-8","18","-6","25","21","-3","-6","20","3","5","-33","1","-24","8","-1","-6","10","5","18","-2","12","7","-42","-1","20","3","0","25","-2","-3","18","4","-12","-11","-21","18","12","1","-2","-10","39","-7","-8","18","18","-3","-18","-3","-41","4","-12","-14","-42","-4","-22","18","-10","6","5","-10","-12","6","-13","-31","-8","-3","-21","21","-19","-6","-33","-3","-28","-8","8","-16","6","-1","-24","6","18","-10","17","7","-7","9","24","-5","-9","2","18","-10","-3","14","14","6","4","-4","-25","-15","-4","1","-23","19","-12","9","3","11","24","-4","-3","13","42","2","-14","30","-12","-6","33","-4","-54","-15","-8","-1","-29","4","2","21","6","12","-15","-6","12","-2","9","-24","2","-6","-29","-21","-15","12","14","-13","28","-21","-1","3","30","1","-29","5","8","22","36","9","29","8","2","-22","33","-6","2","12","14","-3","33","4","-36","3","21","12","-28","1","40","4","-21","-1","4","11","-12","5","-4","-6","48","12","-14","-10","-6","-1","-18","-6","3","0","8","-18","-32","-3","35","20","4","-12","44","-6","-33","18","9","-28","-42","-2","24","15","-6","-7","-6","3","-23","18","12","-9","30","-3","-30","26","-24","-12","-30","1","12","-4","-6","-14","18","-10","10","-42","8","-10","-7","18","12","-13","25","6","-36","-3","39","-15","20","-19","-12","5","16","-3","1","12","42","8","-4","26","-6","-1","-24","5","-41","18","-2","18","26","7","45","-36","-1","24","-12","3","-33","2","25","-3","-36","-3","17","5","4","6","30","-11","-33","-25","18","16","-10","1","14","-36","-10","-12","16","-7","28","11","18","-31","-10","-3","-56","6","-3","2","-66","4","-4","-12","-14","-24","18","-4","8","-26","18","-8","30","6","-12","4","-10","10","16","6","-9","7","-31","-6","12","-3","0","9","21","24","3","-6","14","-26","-3","-15","24","-8","3","-13","-16","30","-48","-1","28","3","6","1","-12","-10","0","8","7","-21","-36","9","-20","-10","-5","2","36","2","-15","-6","-10","-24","6","14","-36","-24","6","4","0","-4","14","21","-15","33","28","1","-54","-6","19","-21","-32","9","6","11","11","2","-9","-4","-48","22","13","12","-14","2","52","-6","30","12","53","-6","33","30","-4","8","-4","-15","39","-3","-1","-32","-21","4","36","-20","21","-6","57","12","-30","9","-6","9","36","-2","4","-35","-24","-6","-12","-6","26","3","-21","20","14","12","-24","8","-13","-3","36","-21","-4","-24","3","8","-72","1","28","-18","5","-6","-22","22","-5","-10","9","28","-17","8","-4","-8","-22","18","60","-6","75","25","12","21","24","-3","18","-6","4","20","36","3","42","5","12","-33","39","1","30","-24","4","8","-42","-1","40","-6","11","10","48","5","36","18","-6","-2","7","12","40","7","-10","-42","24","-1","-19","20","-6","3"],"lmfdb":"agrees","curve":{"cremona":"978g1","lmfdb":"978.g","ainvs":[1,0,0,-132,144],"rank":1,"torsion":1},"space":"978.2.a","level":978,"weight":2,"T":[[5,1],[7,2],[11,3],[13,4],[17,5],[19,6],[23,7],[29,8]],"status":"proven","derived":{"al":[[2,-1],[3,-1],[163,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/978.2.a.g"}