{"label":"384.2.a.e","letter":"e","dim":1,"charpoly":["102","1"],"traces":["1","0","1","0","-4","0","-2","0","1","0","-4","0","2","0","-4","0","-2","0","-8","0","-2","0","-4","0","11","0","1","0","0","0","6","0","-4","0","8","0","-2","0","2","0","6","0","0","0","-4","0","-4","0","-3","0","-2","0","0","0","16","0","-8","0","4","0","14","0","-2","0","-8","0","-4","0","-4","0","-12","0","-10","0","11","0","8","0","-10","0","1","0","12","0","8","0","0","0","-14","0","-4","0","6","0","32","0","10","0","-4","0","0","0","10","0","8","0","-4","0","-6","0","-2","0","2","0","16","0","2","0","4","0","5","0","6","0","-24","0","2","0","0","0","-12","0","16","0","-4","0","-2","0","4","0","-4","0","-8","0","0","0","-3","0","12","0","-10","0","-2","0","-24","0","-18","0","0","0","8","0","-8","0","16","0","-16","0","-9","0","-8","0","12","0","-22","0","4","0","12","0","-22","0","14","0","8","0","8","0","-2","0","-8","0","-2","0","-8","0","-8","0","-14","0","-4","0","0","0","-24","0","-4","0","32","0","-20","0","-12","0","0","0","-12","0","-10","0","-4","0","18","0","11","0","12","0","-14","0","8","0","-6","0","16","0","-10","0","0","0","-2","0","1","0","12","0","-16","0","12","0","12","0","16","0","8","0","18","0","4","0","0","0","24","0","0","0","-14","0","16","0","-14","0","-4","0","-44","0","-6","0","6","0","18","0","12","0","32","0","-12","0","-13","0","10","0","16","0","-16","0","-4","0","-8","0","0","0","0","0","-56","0","12","0","10","0","16","0","-26","0","8","0","-24","0","0","0","-4","0","16","0","22","0","-6","0","8","0","-20","0","-2","0","16","0","-2","0","2","0","-24","0","20","0","16","0","-12","0","-2","0","2","0","-30","0","48","0","4","0","4","0","45","0","5","0","40","0","38","0","6","0","0","0","-2","0","-24","0","0","0","32","0","2","0","24","0","-32","0","0","0","-20","0","8","0","-12","0","40","0","6","0","16","0","6","0","12","0","-4","0","8","0","-14","0","-2","0","-8","0","-48","0","4","0","-20","0","-38","0","-4","0","-22","0","-28","0","-8","0","-28","0","18","0","0","0","32","0","-6","0","-3","0","36","0","56","0","12","0","14","0","-24","0","-10","0","16","0","18","0","-2","0","28","0","26","0","-24","0","-4","0","8","0","-18","0","0","0","-88","0","0","0","-36","0","-4","0","8","0","-40","0","14","0","-8","0","4","0","0","0","16","0","24","0","4","0","-16","0","-44","0","0","0","-9","0","-8","0","20","0","-8","0","-40","0","16","0","12","0","14","0","16","0","-22","0","-12","0","-7","0","4","0","12","0","16","0","12","0","12","0","-14","0","-22","0","24","0","-16","0","14","0","0","0","20","0","8","0","-28","0","0","0","8","0","36","0","-8","0","-2","0","38","0","4","0","-8","0","-44","0","38","0","-2","0","-24","0","0","0","-8","0","4","0","-48","0","-8","0","-30","0","-16","0","-14","0","36","0","30","0","-4","0","-20","0","-14","0","0","0","-8","0","46","0","-24","0","-14","0","-4","0","-4","0","28","0","41","0","32","0","4","0","-34","0","-20","0","-8","0","-6","0","-12","0","-42","0","-48","0","0","0","12","0","-16","0","-12","0","-12","0","48","0","-10","0","-36","0","22","0","-4","0","-64","0","0","0","18","0","-56","0","34","0","11","0","20","0","-20","0","12","0","-12","0","8","0","-14","0","0","0","24","0","8","0","-16","0","-12","0","-6","0","-40","0","16","0","16","0","0","0","2","0","-10","0","-24","0","32","0","0","0","36","0","-20","0","-2","0","0","0","-42","0","1","0","0","0","42","0","12","0","16","0","12","0","-16","0","40","0","-48","0","12","0","8","0","22","0","12","0","40","0","2","0","16","0","22","0","12","0","8","0","8","0","14","0","18","0","24","0","66","0","4","0","-48","0","48","0","0","0","72","0","-32","0","24","0","-4","0","28","0","0","0","-12","0","8","0","-14","0","40","0","-32","0","16","0","-18","0","-24","0","-14","0","32","0","0","0","-4","0","-8","0","22","0","-44","0","44","0","-38","0","-6","0","6","0","64","0","6","0","-36","0","-29","0","18","0","36","0","-10","0","12","0","8","0","38","0","32","0","-42","0","8","0","-12","0","8","0","-48","0","-13","0","40","0","-8","0","10","0","48","0","-34","0","16","0","-46","0","-40","0","-16","0","24","0","-4","0","-4","0","32","0","-48","0","-8","0","0","0","0","0","0","0","88","0","-8","0","0","0","0","0","-48","0","-56","0","24","0","6","0","12","0","-24","0","-22","0","10","0","-42","0","24","0","16","0","-32","0","-38","0","-26","0","28","0","-24","0","8","0","-52","0","-20","0","-24","0","-2","0","32","0","0","0","4","0","5","0","-4","0","8","0","2","0","16","0","4","0","-8","0","22","0","6","0","56","0","-6","0","-56","0","32","0","8","0","0","0","-10","0","-20","0","56","0","54","0","-2","0"],"lmfdb":"agrees","curve":{"cremona":"384h1","lmfdb":"384.e","ainvs":[0,1,0,-35,69],"rank":1,"torsion":2},"space":"384.2.a","level":384,"weight":2,"T":[[5,1],[7,2],[13,3],[17,4],[19,5],[11,6],[23,7],[29,8]],"status":"proven","derived":{"al":[[2,null],[3,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/384.2.a.e"}