{"label":"528.2.a.b","letter":"b","dim":1,"charpoly":["-272","1"],"traces":["1","0","-1","0","-2","0","-4","0","1","0","1","0","6","0","2","0","6","0","8","0","4","0","0","0","-1","0","-1","0","-6","0","0","0","-1","0","8","0","6","0","-6","0","-10","0","8","0","-2","0","0","0","9","0","-6","0","6","0","-2","0","-8","0","-4","0","-2","0","-4","0","-12","0","12","0","0","0","8","0","2","0","1","0","-4","0","4","0","1","0","12","0","-12","0","6","0","-6","0","-24","0","0","0","-16","0","2","0","1","0","2","0","0","0","-8","0","-12","0","6","0","-6","0","10","0","0","0","6","0","-24","0","1","0","10","0","12","0","-12","0","-8","0","-12","0","-32","0","2","0","18","0","16","0","0","0","6","0","12","0","-9","0","-6","0","-4","0","6","0","0","0","-2","0","-6","0","0","0","4","0","2","0","0","0","23","0","8","0","-22","0","4","0","4","0","-4","0","-10","0","2","0","-12","0","6","0","4","0","-16","0","2","0","12","0","18","0","8","0","-12","0","24","0","20","0","0","0","8","0","8","0","-8","0","-16","0","0","0","-2","0","36","0","-8","0","-1","0","-4","0","-26","0","4","0","-26","0","0","0","-4","0","24","0","-22","0","-1","0","-18","0","48","0","-12","0","4","0","0","0","12","0","18","0","-24","0","-6","0","0","0","-12","0","6","0","30","0","-20","0","24","0","-1","0","30","0","0","0","-10","0","-24","0","16","0","40","0","19","0","-2","0","-6","0","8","0","-1","0","0","0","-32","0","-2","0","4","0","-8","0","0","0","16","0","-22","0","8","0","22","0","-6","0","12","0","48","0","-6","0","-6","0","0","0","-4","0","6","0","-24","0","-6","0","-10","0","0","0","-8","0","0","0","4","0","-18","0","-6","0","-14","0","-16","0","24","0","-8","0","45","0","-1","0","-4","0","-8","0","-10","0","-24","0","-26","0","-12","0","-36","0","-4","0","12","0","24","0","8","0","8","0","14","0","0","0","12","0","-8","0","14","0","32","0","10","0","0","0","-2","0","6","0","18","0","-18","0","16","0","-24","0","-16","0","-36","0","22","0","0","0","-6","0","8","0","-6","0","8","0","2","0","-12","0","0","0","20","0","9","0","-20","0","12","0","6","0","2","0","-10","0","4","0","48","0","-14","0","-6","0","-14","0","-24","0","0","0","-12","0","-48","0","2","0","8","0","-8","0","6","0","40","0","36","0","0","0","-4","0","-24","0","-4","0","-28","0","-36","0","-2","0","-32","0","-4","0","0","0","-16","0","-4","0","-23","0","-2","0","-8","0","-8","0","0","0","0","0","22","0","-14","0","-40","0","-4","0","0","0","-23","0","-4","0","-60","0","24","0","4","0","9","0","22","0","10","0","-12","0","32","0","-2","0","-48","0","-16","0","12","0","-30","0","48","0","-6","0","-12","0","-20","0","-4","0","30","0","-8","0","16","0","0","0","34","0","-2","0","-48","0","6","0","-12","0","28","0","0","0","-18","0","14","0","48","0","-8","0","-16","0","-38","0","12","0","-2","0","-44","0","-24","0","0","0","6","0","-20","0","18","0","44","0","0","0","24","0","-19","0","-8","0","36","0","-8","0","-8","0","24","0","54","0","8","0","-14","0","4","0","16","0","0","0","-4","0","0","0","30","0","24","0","2","0","-12","0","22","0","-36","0","64","0","0","0","8","0","-2","0","34","0","1","0","34","0","-8","0","4","0","-12","0","-36","0","26","0","36","0","-12","0","-4","0","-32","0","-60","0","26","0","18","0","48","0","0","0","-8","0","6","0","4","0","0","0","-12","0","-24","0","0","0","0","0","22","0","6","0","-8","0","1","0","48","0","38","0","18","0","12","0","-32","0","-48","0","24","0","12","0","12","0","48","0","32","0","-4","0","8","0","6","0","0","0","-50","0","-24","0","-12","0","-24","0","-14","0","-18","0","6","0","0","0","24","0","-80","0","8","0","6","0","4","0","32","0","0","0","-40","0","-12","0","12","0","-42","0","0","0","-6","0","2","0","0","0","-30","0","30","0","-32","0","20","0","-8","0","64","0","-24","0","-46","0","16","0","1","0","36","0","14","0","-30","0","54","0","0","0","0","0","16","0","7","0","10","0","-46","0","-4","0","24","0","0","0","54","0","-16","0","-34","0","-4","0","-40","0","-24","0","44","0","-19","0","4","0","72","0","2","0","-48","0","-18","0","6","0","-22","0","44","0","-8","0","24","0","48","0","1","0","0","0","8","0","0","0","0","0","36","0","32","0","20","0","-4","0","2","0","-48","0","12","0","-4","0","48","0","20","0","8","0","48","0","-6","0","0","0","-54","0","72","0","-16","0","-12","0","-38","0","22","0","-6","0","0","0","-8","0","12","0","12","0","-22","0","-2","0","32","0","6","0","-72","0","-31","0","-12","0","-4","0","-4","0","-48","0","60","0","-64","0","6","0","42","0","-6","0","6","0","0","0","-36","0","0","0","0","0","-16","0","4","0","-16","0","22","0","-6","0"],"lmfdb":"agrees","curve":{"cremona":"528b1","lmfdb":"528.b","ainvs":[0,-1,0,1,-6],"rank":0,"torsion":2},"space":"528.2.a","level":528,"weight":2,"T":[[5,1],[7,2],[13,3],[19,4],[23,5],[29,6],[17,7],[31,8],[37,9],[41,10],[43,11],[47,12],[53,13],[59,14],[61,15],[67,16]],"status":"proven","derived":{"al":[[2,null],[3,1],[11,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/528.2.a.b"}