{"label":"517.2.a.a","letter":"a","dim":1,"charpoly":["7","1"],"traces":["1","0","3","-2","3","0","-2","0","6","0","1","-6","-2","0","9","4","4","0","4","-6","-6","0","-7","0","4","0","9","4","-6","0","5","0","3","0","-6","-12","3","0","-6","0","-6","0","-6","-2","18","0","-1","12","-3","0","12","4","-6","0","3","0","12","0","5","-18","-14","0","-12","-8","-6","0","15","-8","-21","0","5","0","0","0","12","-8","-2","0","-12","12","9","0","6","12","12","0","-18","0","-1","0","4","14","15","0","12","0","1","0","6","-8","8","0","0","0","-18","0","12","-18","-18","0","9","-8","-9","0","-21","12","-12","0","-8","0","1","0","-18","-10","-3","0","14","0","-18","0","-22","-6","-8","0","27","0","-17","0","14","12","-3","0","-2","24","-18","0","-9","-6","12","0","4","0","24","0","15","12","13","0","-18","0","14","0","-20","12","9","0","-12","0","-9","0","24","12","8","0","-8","4","15","0","-13","-36","5","0","-42","0","9","0","4","2","-18","0","-3","-24","-16","0","-18","6","16","0","16","0","45","0","12","-24","-18","0","-42","-8","4","0","14","12","15","0","-18","0","-10","0","0","-6","-8","0","-3","0","24","0","2","-24","1","0","-6","0","30","0","-3","-10","-36","0","6","36","26","0","0","28","-9","0","-8","0","18","0","21","24","-7","0","36","16","30","0","-6","12","-36","0","24","0","-18","0","-3","-30","14","0","14","16","12","0","4","42","-28","0","30","0","16","0","24","-10","36","0","12","0","-1","0","3","0","-12","0","15","0","9","0","14","-24","12","0","24","16","-42","0","-22","4","0","0","-24","0","21","0","-36","24","3","0","-6","-24","36","0","16","-18","-8","0","-54","0","2","0","-25","-12","18","0","45","-24","-18","0","-27","-24","5","0","20","0","-63","0","24","36","10","0","-18","0","31","0","15","2","-24","0","6","0","-3","0","3","-8","0","0","17","-28","-36","0","12","-30","-4","0","-9","0","12","0","-1","-24","42","0","15","0","-6","0","-36","-2","-17","0","-28","0","-66","0","-36","-12","22","0","-24","16","-18","0","-10","-16","27","0","3","0","-10","0","-51","0","-10","0","18","0","42","0","24","36","-26","0","-6","0","16","0","28","-24","-6","0","14","36","-17","0","-54","36","-28","0","-4","0","-18","0","-17","-18","-3","0","36","16","-35","0","-6","18","12","0","12","0","4","0","36","42","-30","0","-29","-24","45","0","7","24","-30","0","39","0","-6","0","16","16","-36","0","32","0","-6","0","42","-2","3","0","15","0","-60","0","-28","36","-24","0","18","20","-10","0","-16","6","-36","0","-8","0","24","0","-27","-28","-7","0","0","0","36","0","0","36","-1","0","24","0","17","0","32","44","-24","0","20","12","26","0","30","16","12","0","36","0","-39","0","-3","-54","12","0","15","0","-54","0","-2","34","-84","0","-24","0","24","0","27","-28","-36","0","12","-24","12","0","-26","6","-27","0","-18","0","20","0","6","4","-9","0","-28","-48","-21","0","-48","36","-12","0","-6","0","-36","0","20","18","20","0","48","12","6","0","-24","-24","48","0","4","0","48","0","90","-8","3","0","28","0","36","0","2","-48","-14","0","-54","0","22","0","-29","-30","-63","0","2","-24","-29","0","12","-26","12","0","25","0","42","0","42","36","6","0","30","0","-23","0","9","-28","-54","0","-19","0","5","0","-30","40","15","0","-66","-24","0","0","-10","-18","-31","0","-24","0","-24","0","42","24","-9","0","-14","0","-28","0","36","18","32","0","-2","0","6","0","12","-48","-51","0","3","-24","12","0","-5","-16","-12","0","42","0","-24","0","90","16","-48","0","12","-8","-9","0","-16","-30","-1","0","-72","0","-35","0","-6","26","18","0","39","72","0","0","78","-10","-24","0","-11","0","-27","0","-24","84","12","0","-27","0","15","0","-40","-18","-24","0","32","0","36","0","36","-8","-24","0","-45","-4","63","0","12","36","-22","0","-21","0","8","0","36","6","72","0","-10","48","30","0","90","32","-30","0","20","0","-18","0","-24","36","5","0","-54","-12","39","0","-6","-32","72","0","18","0","28","0","-54","-32","43","0","-4","0","-6","0","0","-90","42","0","42","0","26","0","2","-24","42","0","-60","48","-24","0","24","36","14","0","31","0","12","0","36","84","19","0","-84","16","-12","0","-36","-8","45","0","-27","0","7","0","48","-28","-27","0","-2","-24","72","0","-21","-30","-30","0","72","0","-44","0","-5","36","36","0","8","0","24","0","-3","20","-12","0","-30","0","6","0","6","0","-38","0","-36","12","35","0","-8","16","45","0","-18","0","-28","0","9","6","-4","0","-39","0","42","0","-30","-48","-24","0","36","0","15","0","-24","-4","48","0","-40","48","6","0","-126","-2","44","0","16","0","-66","0","-10","12","12","0","0","0","-30","0","-12","-60","-72","0","12","0","-16","0","63","6","-22","0","42","20","-54","0","29","72","0","0","9","0","-32","0","-9","-12","-18","0","34","-72","-6","0","72","-52","-48","0","-62","0","48","0","45","0","-28","0","-24","-56","13","0","-1","18","-108","0","1","0","48","0","6","16","42","0","-56","0","-75","0","48","-36","-56","0","27","0"],"lmfdb":"agrees","curve":{"cremona":"517b1","lmfdb":"517.a","ainvs":[0,0,1,-16,-26],"rank":0,"torsion":1},"space":"517.2.a","level":517,"weight":2,"T":[[2,1],[3,2],[5,3],[7,4],[13,5],[17,6],[19,7],[23,8]],"status":"proven","derived":{"al":[[11,-1],[47,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/517.2.a.a"}