{"label":"408.2.a.c","letter":"c","dim":1,"charpoly":["-78","1"],"traces":["1","0","1","0","0","0","2","0","1","0","0","0","2","0","0","0","-1","0","4","0","2","0","2","0","-5","0","1","0","0","0","6","0","0","0","0","0","0","0","2","0","-10","0","4","0","0","0","-4","0","-3","0","-1","0","-2","0","0","0","4","0","-4","0","0","0","2","0","0","0","4","0","2","0","-2","0","-14","0","-5","0","0","0","6","0","1","0","-12","0","0","0","0","0","-2","0","4","0","6","0","0","0","-2","0","0","0","-2","0","4","0","0","0","-16","0","-4","0","0","0","-6","0","0","0","2","0","-2","0","-11","0","-10","0","0","0","-16","0","4","0","0","0","8","0","0","0","10","0","8","0","-4","0","0","0","0","0","-3","0","18","0","-16","0","-1","0","0","0","22","0","-2","0","4","0","4","0","0","0","10","0","-9","0","4","0","16","0","-10","0","-4","0","12","0","0","0","0","0","0","0","0","0","2","0","-12","0","14","0","0","0","20","0","18","0","4","0","0","0","0","0","2","0","0","0","8","0","-2","0","0","0","12","0","-14","0","-2","0","-20","0","-5","0","28","0","-2","0","0","0","18","0","0","0","6","0","20","0","-10","0","1","0","0","0","8","0","-12","0","-12","0","0","0","0","0","-14","0","0","0","0","0","12","0","0","0","-2","0","24","0","-24","0","4","0","0","0","-28","0","6","0","-18","0","32","0","0","0","-20","0","1","0","-2","0","-6","0","0","0","0","0","4","0","8","0","-2","0","0","0","12","0","4","0","10","0","-18","0","0","0","-4","0","0","0","-16","0","-4","0","-10","0","-4","0","-8","0","-20","0","0","0","0","0","26","0","-6","0","0","0","-20","0","0","0","-12","0","-22","0","2","0","30","0","0","0","-2","0","16","0","-3","0","-11","0","0","0","-26","0","-10","0","-4","0","-6","0","0","0","0","0","-12","0","-16","0","36","0","0","0","4","0","-38","0","-2","0","0","0","0","0","8","0","8","0","-18","0","12","0","0","0","0","0","6","0","10","0","-8","0","0","0","8","0","12","0","10","0","-4","0","5","0","0","0","0","0","-22","0","-18","0","0","0","8","0","10","0","-3","0","4","0","0","0","18","0","-10","0","0","0","-16","0","0","0","22","0","-1","0","-26","0","-20","0","0","0","-12","0","8","0","22","0","0","0","-20","0","-2","0","30","0","0","0","4","0","0","0","38","0","4","0","-28","0","0","0","0","0","-4","0","32","0","10","0","2","0","0","0","-9","0","-30","0","-28","0","4","0","0","0","0","0","16","0","-26","0","-4","0","-10","0","-6","0","-19","0","-4","0","-20","0","0","0","12","0","0","0","40","0","0","0","0","0","-8","0","0","0","0","0","12","0","0","0","30","0","8","0","0","0","28","0","0","0","2","0","10","0","-12","0","-12","0","-10","0","34","0","14","0","-24","0","0","0","0","0","-4","0","24","0","20","0","18","0","0","0","18","0","0","0","26","0","4","0","0","0","22","0","0","0","-8","0","-34","0","0","0","34","0","4","0","2","0","-4","0","25","0","0","0","0","0","-28","0","8","0","0","0","-6","0","-2","0","-18","0","28","0","0","0","36","0","0","0","12","0","-24","0","0","0","-14","0","-20","0","26","0","-2","0","0","0","0","0","-20","0","0","0","14","0","-5","0","20","0","-4","0","28","0","4","0","0","0","-2","0","-4","0","32","0","0","0","0","0","10","0","18","0","-18","0","0","0","0","0","-4","0","-4","0","6","0","12","0","0","0","20","0","-34","0","8","0","-10","0","0","0","-32","0","1","0","-4","0","-6","0","0","0","0","0","-12","0","8","0","2","0","0","0","-12","0","-32","0","-30","0","-12","0","0","0","-18","0","0","0","26","0","-8","0","0","0","-8","0","42","0","-14","0","34","0","-30","0","0","0","-40","0","0","0","0","0","0","0","16","0","12","0","-12","0","0","0","0","0","-18","0","4","0","-2","0","0","0","0","0","24","0","6","0","12","0","-24","0","0","0","16","0","4","0","12","0","14","0","0","0","-48","0","-26","0","-28","0","3","0","0","0","6","0","6","0","-29","0","-18","0","0","0","-22","0","32","0","0","0","-36","0","0","0","22","0","-20","0","-20","0","-48","0","0","0","1","0","0","0","8","0","-2","0","0","0","52","0","-6","0","-22","0","-20","0","0","0","22","0","-32","0","0","0","-16","0","0","0","4","0","0","0","2","0","8","0","0","0","8","0","-2","0","-18","0","0","0","0","0","0","0","-24","0","12","0","-4","0","0","0","4","0","-18","0","-12","0","10","0","0","0","-42","0","-18","0","-52","0","-20","0","0","0","-8","0","-28","0","-4","0","22","0","0","0","0","0","20","0","5","0","-16","0","0","0","52","0","-4","0","36","0","16","0","-10","0","18","0","0","0","-4","0","14","0","0","0","-8","0","8","0","2","0","-20","0","0","0","16","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"408a1","lmfdb":"408.c","ainvs":[0,1,0,-48,-144],"rank":0,"torsion":2},"space":"408.2.a","level":408,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7],[19,9],[23,11]],"status":"proven","derived":{"al":[[2,null],[3,-1],[17,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/408.2.a.c"}