{"label":"522.2.a.e","letter":"e","dim":1,"charpoly":["-112","1"],"traces":["1","-1","0","1","2","0","4","-1","0","-2","0","0","2","-4","0","1","-2","0","0","2","0","0","-4","0","-1","-2","0","4","1","0","6","-1","0","2","8","0","-4","0","0","-2","-2","0","4","0","0","4","8","0","9","1","0","2","14","0","0","-4","0","-1","-6","0","-8","-6","0","1","4","0","-12","-2","0","-8","16","0","-2","4","0","0","0","0","-6","2","0","2","2","0","-4","-4","0","0","-14","0","8","-4","0","-8","0","0","-14","-9","0","-1","-10","0","8","-2","0","-14","14","0","14","0","0","4","-18","0","-8","1","0","6","-8","0","-11","8","0","6","-12","0","2","-1","0","-4","12","0","0","12","0","2","-6","0","-20","8","0","-16","0","0","2","2","0","-4","-6","0","-16","0","0","0","12","0","12","6","0","-2","-16","0","-12","-2","0","-2","-4","0","-9","4","0","4","-6","0","-4","0","0","14","10","0","10","-8","0","4","-8","0","0","8","0","0","-16","0","14","14","0","9","6","0","8","1","0","10","4","0","-4","-8","0","2","0","0","12","14","0","-14","8","0","24","-14","0","0","-4","0","28","-4","0","18","6","0","-20","8","0","-1","-8","0","16","-6","0","8","-24","0","-10","11","0","-8","18","0","0","-6","0","12","12","0","0","-2","0","1","20","0","-16","4","0","-12","24","0","28","0","0","-12","-30","0","2","-2","0","6","0","0","-2","20","0","-8","0","0","4","16","0","0","-8","0","-13","-2","0","-2","-14","0","-12","4","0","6","-8","0","16","16","0","0","-16","0","20","0","0","-12","-16","0","6","-12","0","-6","30","0","0","2","0","16","0","0","-2","12","0","2","32","0","-8","2","0","4","-24","0","22","9","0","-4","0","0","8","-4","0","6","-22","0","-6","4","0","0","-16","0","32","-14","0","-10","-8","0","-19","-10","0","8","-4","0","-2","-4","0","8","56","0","6","0","0","-8","2","0","-16","0","0","16","-32","0","0","-14","0","-14","-6","0","8","-9","0","-6","-12","0","-2","-8","0","-1","-12","0","12","-10","0","-4","0","0","-30","4","0","8","-24","0","4","-2","0","0","22","0","20","-12","0","-14","2","0","-32","14","0","-8","28","0","14","-24","0","14","0","0","-28","0","0","4","-16","0","-28","-28","0","4","22","0","0","-18","0","-6","16","0","-26","20","0","-8","34","0","-32","1","0","8","12","0","-48","-16","0","6","0","0","0","-8","0","24","-16","0","-8","10","0","-11","-28","0","32","8","0","-18","36","0","-2","0","0","6","64","0","-20","-12","0","-12","8","0","-20","0","0","2","-42","0","-8","-1","0","-20","16","0","0","16","0","-4","-20","0","-12","12","0","-24","-12","0","-7","-28","0","0","-4","0","28","12","0","30","0","0","40","-2","0","2","28","0","20","-6","0","0","0","0","-24","2","0","-20","2","0","8","8","0","0","32","0","-36","-4","0","-16","18","0","20","0","0","8","4","0","26","13","0","2","8","0","0","2","0","14","2","0","0","12","0","-4","48","0","-16","-6","0","8","8","0","26","-16","0","-16","-22","0","-42","0","0","16","16","0","26","-20","0","0","-18","0","28","12","0","16","-56","0","-19","-6","0","12","8","0","-20","6","0","-30","4","0","18","0","0","-2","-22","0","4","-16","0","0","-4","0","0","2","0","-12","-46","0","24","-2","0","-32","12","0","18","8","0","-2","0","0","-4","-4","0","24","0","0","30","-22","0","-9","46","0","-56","4","0","0","-6","0","-12","-8","0","4","28","0","20","-6","0","22","-40","0","4","6","0","-4","30","0","0","0","0","16","-40","0","-6","-32","0","14","-24","0","0","10","0","8","20","0","32","19","0","10","-1","0","14","-8","0","4","-8","0","48","2","0","4","0","0","4","-8","0","-56","16","0","-12","-6","0","0","56","0","14","8","0","-2","-32","0","-28","16","0","0","24","0","56","-16","0","32","-12","0","46","0","0","14","34","0","-6","14","0","6","0","0","0","-8","0","9","24","0","-4","6","0","12","-72","0","-16","2","0","8","-10","0","-16","1","0","12","0","0","-32","-12","0","10","-18","0","-12","4","0","0","-24","0","0","30","0","-4","6","0","26","-8","0","24","20","0","40","-4","0","2","-18","0","-8","0","0","-22","24","0","1","-20","0","12","-18","0","-44","14","0","-2","16","0","56","32","0","-14","-24","0","20","8","0","-28","-20","0","-12","-14","0","24","0","0","-24","-14","0","0","-48","0","-14","28","0","0","-30","0","-20","-4","0","16","-48","0","8","28","0","28","0","0","20","-4","0","-22","6","0","-28","0","0","18","20","0","16","6","0","-16","-56","0","0","26","0","-20","48","0","-24","8","0","-34","32","0","4","32","0","-1","0","0","0","-8","0","-12","0","0","-2","48","0","16","-22","0","8","-6","0","0","-48","0","-4","0","0","8","4","0","-32","-24","0","16","-24","0","5","8","0","-10","28","0","34","11","0","28","-8","0","-80","-32","0","-8","56","0","0","18","0","-36","-40","0","12","2","0","0","-16","0","52","-6","0","-64","16","0","32","20","0","12"],"lmfdb":"agrees","curve":{"cremona":"522b1","lmfdb":"522.e","ainvs":[1,-1,0,-2046,36244],"rank":0,"torsion":2},"space":"522.2.a","level":522,"weight":2,"T":[[5,1],[7,2],[11,3],[13,4],[17,5],[19,6],[23,7],[31,8],[37,9],[41,10],[43,11],[47,12]],"status":"proven","derived":{"al":[[2,1],[3,null],[29,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/522.2.a.e"}