{"label":"723.2.a.a","letter":"a","dim":1,"charpoly":["-25","1"],"traces":["1","-1","-1","-1","-2","1","0","3","1","2","2","1","2","0","2","-1","0","-1","4","2","0","-2","-6","-3","-1","-2","-1","0","-6","-2","-4","-5","-2","0","0","-1","6","-4","-2","-6","6","0","4","-2","-2","6","-12","1","-7","1","0","-2","-14","1","-4","0","-4","6","-4","-2","-6","4","0","7","-4","2","12","0","6","0","10","3","6","-6","1","-4","0","2","-8","2","1","-6","-12","0","0","-4","6","6","12","2","0","6","4","12","-8","5","-2","7","2","1","-12","0","-8","6","0","14","-12","1","-14","4","-6","0","-14","4","12","6","2","4","0","6","-7","6","-6","4","12","0","0","3","-4","4","2","2","0","-12","2","0","4","-6","0","0","12","-10","4","-1","12","-6","7","-6","-12","-1","16","12","0","0","8","2","-18","8","14","10","0","-1","4","-6","4","12","-2","0","-9","0","4","-4","8","-6","0","-2","4","-12","-6","2","14","0","6","-18","-12","-4","0","12","0","8","24","-7","2","2","4","7","-12","-2","4","-3","-12","12","0","0","-12","8","-6","-2","8","0","20","14","-10","12","-8","-3","0","14","-6","4","0","6","-8","0","-1","14","-18","4","-6","-12","0","-18","2","-2","24","4","8","0","20","-2","-1","7","-1","6","14","6","8","-12","12","-12","-16","0","-12","0","0","-17","-6","4","0","4","-6","-2","6","-6","28","0","-12","-12","-20","-2","0","0","0","-4","-2","-6","-22","0","-4","0","22","-12","-16","-10","8","-4","0","-5","-17","-12","2","-6","-4","-7","8","18","-2","12","-12","-1","0","-16","12","-4","12","0","-8","0","8","-8","2","-6","-22","18","0","8","12","-14","-12","-14","12","0","0","-1","-2","-4","14","18","0","-4","4","12","6","2","-24","0","10","9","14","0","-8","-4","0","12","-12","-8","0","-6","-30","0","-2","-10","-4","-4","-20","-12","0","6","12","-6","-3","-14","7","0","-12","-6","4","6","6","12","0","-4","-34","0","-12","-36","-12","0","8","8","0","-24","18","-3","0","-2","4","2","24","-4","0","-21","-2","12","16","-2","-26","-4","0","1","-2","12","-8","12","-2","0","12","0","-34","12","-4","8","0","6","24","-10","0","-8","14","0","30","-20","-12","-42","0","10","0","12","-4","8","22","1","38","0","-12","14","-24","6","8","-12","-7","0","6","6","-24","8","12","0","12","1","12","14","-16","18","0","-12","-10","6","0","-12","12","0","0","6","-8","-2","-12","-2","0","-24","18","-12","8","-8","-4","0","-14","-20","0","-10","12","1","0","7","4","1","16","-18","-4","-14","12","6","0","-8","-4","4","0","-12","32","-12","2","16","-10","0","24","12","9","0","30","0","0","11","-4","6","16","4","-24","0","-8","-12","-24","6","-28","-2","0","-6","0","2","13","-28","-4","0","12","12","24","36","6","20","-14","-2","2","0","-14","0","28","0","-32","-4","-6","2","-24","18","0","22","12","0","-30","4","8","0","0","-22","-32","-12","28","16","0","30","-2","-8","40","-4","-24","0","6","7","34","17","-2","-12","0","-2","-28","18","-4","4","30","-7","-16","-8","12","-6","8","2","0","12","-4","12","-10","3","26","0","12","-16","14","-12","32","-20","0","-12","-24","0","14","8","12","0","-6","-8","44","-8","6","-2","0","2","-19","22","-8","18","0","0","44","-24","-20","-12","0","-14","-14","12","10","-6","18","-12","-12","0","8","0","-42","3","-8","2","0","-4","-16","-14","-4","-6","6","0","36","-4","-2","-4","0","-36","0","-6","36","2","8","24","-12","0","6","-10","1","9","20","-14","0","0","18","8","28","-4","-8","0","6","-4","-28","12","20","-8","0","0","0","18","0","30","-2","0","-36","2","24","14","-24","4","0","-4","-30","20","-8","36","24","0","-8","6","-20","-12","40","2","0","3","1","-14","6","-7","8","0","1","12","0","-6","38","-4","-14","30","24","-6","-28","12","-8","0","8","12","24","34","-12","0","0","12","-28","12","16","12","-32","0","18","-8","12","-24","-28","0","0","-24","0","-18","-8","17","-30","0","6","-2","-26","-4","4","-6","0","-24","24","-4","20","0","6","7","36","2","-36","12","-6","-16","0","6","-12","26","-28","-4","-4","0","0","5","12","2","12","12","0","8","20","-36","4","2","28","0","0","-12","-8","0","16","34","0","12","-30","4","48","-24","2","0","-34","6","2","-24","22","14","0","0","4","-8","4","-14","16","0","7","-30","-22","-20","18","12","0","14","16","0","-36","10","-34","0","-8","-36","22","4","-40","8","0","-22","-54","5","-16","-38","17","0","-16","12","24","-42","-2","24","0","6","2","-8","4","4","30","7","-4","0","-8","-6","16","-18","0","24","2","8","-48","-12","12","0","12","-12","24","1","0","-12","0","-42","-28","16","28","18","-12","0","24","4","-24","10","-12","6","0","0","-32","36","8","-12","20","0","-6","0","-8","30","-48","8","-28","-2","-2","12","0","6","-38","0","22","-24","-36","-18","-36","4","0","-8","18","-8","12","4","-12","0","44","14","-48","-20","12","0","0","14","-15","-12","-12","1","-4","0","-8","-21","0","-4","-6","1","0","-16","2","6","60","4","24","-14","-14","-12","38","-18","24","0","0","-8","-24","4","8","20","-4","0","-8","-12","14","-32","-6","36"],"lmfdb":"agrees","curve":{"cremona":"723a1","lmfdb":"723.a","ainvs":[1,1,1,-4,-4],"rank":1,"torsion":2},"space":"723.2.a","level":723,"weight":2,"T":[[2,1],[5,3],[7,5],[11,7],[13,9]],"status":"proven","derived":{"al":[[3,1],[241,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/723.2.a.a"}