{"label":"840.2.a.g","letter":"g","dim":1,"charpoly":["67822","1"],"traces":["1","0","1","0","-1","0","-1","0","1","0","-4","0","-6","0","-1","0","-2","0","-8","0","-1","0","4","0","1","0","1","0","6","0","4","0","-4","0","1","0","-2","0","-6","0","-2","0","-12","0","-1","0","0","0","1","0","-2","0","2","0","4","0","-8","0","-4","0","6","0","-1","0","6","0","-4","0","4","0","8","0","6","0","1","0","4","0","-16","0","1","0","-4","0","2","0","6","0","-18","0","6","0","4","0","8","0","6","0","-4","0","18","0","-16","0","1","0","0","0","14","0","-2","0","14","0","-4","0","-6","0","2","0","5","0","-2","0","-1","0","-16","0","-12","0","4","0","8","0","-1","0","6","0","-8","0","0","0","24","0","-6","0","1","0","-2","0","8","0","-2","0","-4","0","-22","0","2","0","-4","0","4","0","4","0","-16","0","23","0","-8","0","-14","0","-1","0","-4","0","12","0","14","0","6","0","2","0","8","0","-1","0","24","0","-14","0","6","0","-6","0","20","0","-4","0","-6","0","2","0","4","0","32","0","-4","0","8","0","12","0","-4","0","6","0","12","0","8","0","1","0","4","0","-10","0","4","0","14","0","0","0","-16","0","-24","0","2","0","1","0","-1","0","48","0","-4","0","-4","0","-16","0","2","0","-18","0","2","0","6","0","-4","0","-2","0","-18","0","18","0","-20","0","6","0","-4","0","14","0","4","0","-6","0","-28","0","8","0","2","0","-13","0","6","0","-6","0","4","0","-4","0","-24","0","12","0","18","0","-6","0","-12","0","-16","0","32","0","22","0","1","0","-22","0","-24","0","0","0","16","0","-6","0","14","0","0","0","36","0","-2","0","4","0","-14","0","14","0","-16","0","-1","0","-4","0","32","0","-10","0","-6","0","-34","0","-8","0","2","0","0","0","45","0","5","0","-6","0","-8","0","-2","0","-2","0","-10","0","-1","0","-36","0","-36","0","-16","0","0","0","-4","0","-12","0","-10","0","-8","0","4","0","16","0","-30","0","8","0","-38","0","-24","0","-1","0","8","0","18","0","6","0","4","0","4","0","-8","0","-20","0","6","0","0","0","-2","0","-6","0","24","0","-16","0","-18","0","-6","0","-32","0","20","0","1","0","-32","0","18","0","-2","0","34","0","8","0","8","0","-6","0","2","0","-2","0","-22","0","0","0","-4","0","-28","0","4","0","-22","0","48","0","-8","0","2","0","8","0","12","0","-4","0","-6","0","16","0","4","0","4","0","-12","0","4","0","-8","0","4","0","-16","0","-8","0","-18","0","23","0","-30","0","-6","0","-8","0","16","0","0","0","-14","0","-42","0","4","0","-1","0","-8","0","-7","0","-4","0","12","0","0","0","12","0","-4","0","14","0","14","0","-14","0","28","0","6","0","-48","0","16","0","2","0","42","0","72","0","8","0","12","0","-14","0","-1","0","-14","0","4","0","24","0","4","0","14","0","-14","0","4","0","-8","0","6","0","-12","0","-32","0","-6","0","-18","0","-2","0","20","0","-32","0","34","0","-4","0","-5","0","24","0","-6","0","0","0","-2","0","2","0","30","0","8","0","4","0","18","0","1","0","32","0","4","0","-8","0","-4","0","16","0","-6","0","8","0","-46","0","-28","0","12","0","-16","0","16","0","-4","0","42","0","-4","0","6","0","-4","0","-18","0","12","0","-8","0","24","0","8","0","-24","0","-6","0","1","0","42","0","-6","0","4","0","-48","0","-6","0","-10","0","-12","0","8","0","4","0","8","0","4","0","14","0","6","0","16","0","0","0","-18","0","6","0","-16","0","16","0","-24","0","-24","0","24","0","16","0","2","0","6","0","8","0","1","0","24","0","-38","0","-1","0","16","0","-20","0","48","0","36","0","2","0","-4","0","0","0","-24","0","-4","0","-8","0","6","0","-16","0","30","0","-14","0","2","0","24","0","10","0","-18","0","42","0","4","0","2","0","16","0","-32","0","6","0","22","0","12","0","-4","0","-14","0","-36","0","-2","0","2","0","0","0","-18","0","-24","0","4","0","18","0","-14","0","-8","0","-20","0","-4","0","96","0","6","0","6","0","-8","0","-4","0","16","0","38","0","14","0","-2","0","16","0","4","0","-8","0","7","0","-6","0","-23","0","-5","0","-28","0","-8","0","26","0","8","0","54","0","-8","0","2","0","-4","0","14","0","-13","0","64","0","24","0","6","0","1","0","-42","0","-6","0","-34","0","20","0","4","0","-24","0","16","0","-4","0","0","0","-12","0","-24","0","24","0","-4","0","12","0","-14","0","28","0","18","0","24","0","16","0","-6","0","-4","0","0","0","-12","0","-48","0","-2","0","-16","0","-10","0","-8","0","32","0","-8","0","-2","0","22","0","-30","0","-8","0","1","0","-16","0","-36","0","-22","0","-26","0","-24","0","-24","0","-6","0","-15","0","0","0","14","0","16","0","16","0","52","0","8","0","-6","0","6","0","72","0","14","0","48","0","6","0","0","0","-48","0","8","0","36","0","-20","0","-38","0","-2","0"],"lmfdb":"agrees","curve":{"cremona":"840h1","lmfdb":"840.g","ainvs":[0,1,0,-71,-246],"rank":1,"torsion":2},"space":"840.2.a","level":840,"weight":2,"T":[[11,6665],[13,1937],[17,5856],[19,9453],[23,4431],[29,7435],[31,859],[37,3987]],"status":"proven","derived":{"al":[[2,null],[3,-1],[5,1],[7,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/840.2.a.g"}