{"label":"828.2.a.b","letter":"b","dim":1,"charpoly":["-53","1"],"traces":["1","0","0","0","0","0","2","0","0","0","0","0","-1","0","0","0","6","0","2","0","0","0","1","0","-5","0","0","0","3","0","5","0","0","0","0","0","8","0","0","0","-3","0","8","0","0","0","-9","0","-3","0","0","0","-6","0","0","0","0","0","12","0","14","0","0","0","0","0","8","0","0","0","15","0","-7","0","0","0","0","0","-10","0","0","0","-6","0","0","0","0","0","0","0","-2","0","0","0","0","0","-10","0","0","0","-6","0","2","0","0","0","6","0","-16","0","0","0","-18","0","0","0","0","0","12","0","-11","0","0","0","0","0","11","0","0","0","-21","0","4","0","0","0","12","0","11","0","0","0","0","0","0","0","0","0","-6","0","-7","0","0","0","0","0","-4","0","0","0","2","0","-1","0","0","0","-12","0","-12","0","0","0","-6","0","-10","0","0","0","9","0","-16","0","0","0","0","0","0","0","0","0","0","0","-7","0","0","0","15","0","-4","0","0","0","6","0","0","0","0","0","0","0","-16","0","0","0","0","0","10","0","0","0","-6","0","8","0","0","0","-18","0","-4","0","0","0","9","0","0","0","0","0","-21","0","-4","0","0","0","0","0","-2","0","0","0","18","0","0","0","0","0","-27","0","16","0","0","0","6","0","0","0","0","0","15","0","8","0","0","0","0","0","-19","0","0","0","-30","0","-4","0","0","0","-6","0","19","0","0","0","-12","0","0","0","0","0","-1","0","16","0","0","0","0","0","20","0","0","0","15","0","-4","0","0","0","18","0","0","0","0","0","12","0","5","0","0","0","-18","0","-25","0","0","0","0","0","8","0","0","0","0","0","-20","0","0","0","12","0","29","0","0","0","27","0","0","0","0","0","30","0","-15","0","0","0","0","0","26","0","0","0","-12","0","20","0","0","0","-3","0","-28","0","0","0","36","0","0","0","0","0","36","0","6","0","0","0","0","0","11","0","0","0","-24","0","-5","0","0","0","0","0","17","0","0","0","24","0","0","0","0","0","-36","0","2","0","0","0","-30","0","28","0","0","0","-12","0","-16","0","0","0","2","0","35","0","0","0","-21","0","0","0","0","0","-6","0","0","0","0","0","0","0","-10","0","0","0","27","0","-16","0","0","0","30","0","16","0","0","0","0","0","-10","0","0","0","-42","0","-8","0","0","0","0","0","23","0","0","0","-3","0","18","0","0","0","30","0","5","0","0","0","-6","0","0","0","0","0","3","0","-14","0","0","0","0","0","0","0","0","0","24","0","38","0","0","0","30","0","1","0","0","0","3","0","0","0","0","0","0","0","-7","0","0","0","0","0","-1","0","0","0","6","0","-20","0","0","0","-24","0","-8","0","0","0","12","0","0","0","0","0","-24","0","-34","0","0","0","-5","0","-7","0","0","0","-12","0","0","0","0","0","-21","0","10","0","0","0","42","0","0","0","0","0","-24","0","-19","0","0","0","0","0","8","0","0","0","9","0","26","0","0","0","18","0","20","0","0","0","0","0","25","0","0","0","48","0","-40","0","0","0","0","0","3","0","0","0","-24","0","-4","0","0","0","-33","0","0","0","0","0","-27","0","0","0","0","0","-6","0","14","0","0","0","0","0","3","0","0","0","0","0","-13","0","0","0","-18","0","-20","0","0","0","-39","0","0","0","0","0","6","0","-28","0","0","0","0","0","-18","0","0","0","-30","0","16","0","0","0","-12","0","38","0","0","0","5","0","0","0","0","0","0","0","4","0","0","0","-15","0","-28","0","0","0","48","0","-22","0","0","0","0","0","-25","0","0","0","-6","0","0","0","0","0","12","0","-4","0","0","0","0","0","20","0","0","0","15","0","-32","0","0","0","-12","0","-28","0","0","0","-24","0","-25","0","0","0","-6","0","0","0","0","0","0","0","-40","0","0","0","-36","0","-14","0","0","0","30","0","-54","0","0","0","0","0","0","0","0","0","30","0","-7","0","0","0","0","0","16","0","0","0","6","0","41","0","0","0","36","0","38","0","0","0","-18","0","0","0","0","0","-18","0","-20","0","0","0","0","0","-22","0","0","0","8","0","2","0","0","0","33","0","-19","0","0","0","9","0","0","0","0","0","0","0","-8","0","0","0","0","0","50","0","0","0","-30","0","-52","0","0","0","51","0","22","0","0","0","-18","0","0","0","0","0","15","0","-36","0","0","0","0","0","50","0","0","0","-18","0","0","0","0","0","-42","0","38","0","0","0","-15","0","-40","0","0","0","-15","0","-6","0","0","0","0","0","-28","0","0","0","-30","0","-3","0","0","0","3","0","7","0","0","0","6","0","0","0","0","0","24","0","-6","0","0","0","0","0","47","0","0","0","-18","0","22","0","0","0","-48","0","0","0","0","0","18","0","0","0","0","0","8","0","-16","0","0","0","0","0","62","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"828d1","lmfdb":"828.b","ainvs":[0,0,0,15,-11],"rank":0,"torsion":1},"space":"828.2.a","level":828,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,null],[3,null],[23,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/828.2.a.b"}