{"label":"528.2.a.c","letter":"c","dim":1,"charpoly":["290","1"],"traces":["1","0","-1","0","0","0","-2","0","1","0","-1","0","0","0","0","0","-2","0","-8","0","2","0","2","0","-5","0","-1","0","-6","0","0","0","1","0","0","0","-2","0","0","0","2","0","-4","0","0","0","6","0","-3","0","2","0","-8","0","0","0","8","0","8","0","-4","0","-2","0","0","0","-12","0","-2","0","10","0","-6","0","5","0","2","0","10","0","1","0","4","0","0","0","6","0","10","0","0","0","0","0","0","0","-2","0","-1","0","18","0","12","0","0","0","-20","0","16","0","2","0","-6","0","0","0","0","0","4","0","1","0","-2","0","0","0","-6","0","4","0","-4","0","16","0","0","0","22","0","8","0","-6","0","0","0","0","0","3","0","14","0","-14","0","-2","0","0","0","-22","0","8","0","-4","0","-4","0","0","0","-12","0","-13","0","-8","0","-6","0","10","0","-8","0","-24","0","26","0","4","0","0","0","2","0","2","0","14","0","-26","0","0","0","-14","0","-20","0","12","0","12","0","0","0","2","0","8","0","20","0","-10","0","0","0","0","0","6","0","0","0","24","0","-5","0","-4","0","2","0","-2","0","-6","0","0","0","-10","0","-20","0","-10","0","-1","0","0","0","0","0","-4","0","0","0","-2","0","0","0","2","0","4","0","-6","0","0","0","0","0","-10","0","-16","0","-10","0","0","0","5","0","12","0","0","0","6","0","12","0","0","0","-4","0","-13","0","2","0","-26","0","0","0","1","0","0","0","8","0","-18","0","0","0","-16","0","-12","0","-6","0","26","0","0","0","-20","0","6","0","20","0","16","0","0","0","-16","0","-12","0","-4","0","-2","0","0","0","-6","0","6","0","0","0","20","0","0","0","-12","0","-24","0","0","0","-22","0","0","0","-4","0","-20","0","45","0","-1","0","0","0","-16","0","2","0","16","0","32","0","0","0","0","0","4","0","6","0","2","0","0","0","-4","0","32","0","-4","0","4","0","0","0","26","0","-16","0","6","0","0","0","0","0","2","0","-18","0","-22","0","-16","0","0","0","-8","0","24","0","14","0","6","0","10","0","8","0","0","0","-32","0","10","0","0","0","-16","0","-22","0","-3","0","0","0","0","0","-14","0","6","0","-2","0","14","0","0","0","-10","0","2","0","6","0","-4","0","0","0","36","0","24","0","22","0","4","0","40","0","-8","0","8","0","0","0","4","0","0","0","-12","0","4","0","-12","0","12","0","0","0","-20","0","4","0","12","0","36","0","0","0","13","0","0","0","12","0","8","0","0","0","-6","0","6","0","38","0","4","0","-10","0","0","0","-19","0","8","0","0","0","0","0","24","0","3","0","-8","0","-26","0","0","0","8","0","-4","0","48","0","-20","0","0","0","-18","0","0","0","-2","0","4","0","0","0","-2","0","22","0","8","0","-14","0","-10","0","-2","0","26","0","-8","0","8","0","0","0","32","0","0","0","14","0","-34","0","0","0","20","0","-22","0","10","0","-12","0","0","0","26","0","-12","0","0","0","-12","0","0","0","-38","0","28","0","-2","0","-20","0","25","0","-8","0","4","0","-40","0","-20","0","0","0","0","0","10","0","38","0","-20","0","0","0","-46","0","-8","0","0","0","36","0","0","0","-6","0","-12","0","-30","0","0","0","0","0","-12","0","-24","0","4","0","-26","0","5","0","42","0","4","0","4","0","-24","0","0","0","-2","0","0","0","-28","0","2","0","0","0","-4","0","6","0","-42","0","16","0","0","0","-36","0","-30","0","10","0","0","0","0","0","20","0","-30","0","-24","0","10","0","30","0","-12","0","1","0","8","0","32","0","0","0","12","0","-20","0","0","0","28","0","0","0","4","0","40","0","-16","0","0","0","0","0","-42","0","2","0","-10","0","-32","0","0","0","0","0","-26","0","-2","0","-24","0","0","0","-4","0","-16","0","-10","0","6","0","0","0","-28","0","0","0","12","0","0","0","0","0","0","0","-12","0","10","0","6","0","0","0","16","0","26","0","20","0","10","0","0","0","32","0","0","0","42","0","-16","0","-5","0","-44","0","-34","0","-12","0","6","0","0","0","0","0","-10","0","7","0","-6","0","0","0","-2","0","-12","0","-4","0","12","0","0","0","-6","0","4","0","4","0","-50","0","0","0","13","0","-10","0","0","0","-2","0","0","0","-24","0","26","0","-6","0","-4","0","0","0","36","0","12","0","-1","0","-48","0","0","0","0","0","0","0","16","0","-8","0","0","0","-28","0","18","0","42","0","-4","0","0","0","8","0","-10","0","16","0","0","0","10","0","12","0","6","0","24","0","6","0","0","0","-22","0","-26","0","42","0","4","0","0","0","36","0","0","0","20","0","-22","0","0","0","-6","0","-44","0","-31","0","-20","0","0","0","-22","0","-16","0","24","0","-16","0","0","0","-2","0","-10","0","16","0","42","0","0","0","12","0","-8","0","32","0","4","0","0","0","-56","0","2","0"],"lmfdb":"agrees","curve":{"cremona":"528a1","lmfdb":"528.c","ainvs":[0,-1,0,-8,0],"rank":1,"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.c"}