{"label":"368.2.a.e","letter":"e","dim":1,"charpoly":["44","1"],"traces":["1","0","1","0","-4","0","-2","0","-2","0","4","0","-5","0","-4","0","-2","0","-6","0","-2","0","-1","0","11","0","-5","0","1","0","9","0","4","0","8","0","-4","0","-5","0","3","0","-8","0","8","0","5","0","-3","0","-2","0","6","0","-16","0","-6","0","4","0","-10","0","4","0","20","0","4","0","-1","0","5","0","-15","0","11","0","-8","0","6","0","1","0","-6","0","8","0","1","0","-8","0","10","0","9","0","24","0","10","0","-8","0","-10","0","-10","0","8","0","-6","0","0","0","-4","0","6","0","4","0","10","0","4","0","5","0","3","0","-24","0","7","0","-8","0","21","0","12","0","20","0","4","0","-5","0","5","0","-20","0","-4","0","-3","0","-18","0","-11","0","4","0","-36","0","-12","0","6","0","2","0","-25","0","-16","0","-12","0","12","0","12","0","-2","0","-22","0","4","0","-1","0","-12","0","-10","0","16","0","-8","0","10","0","-12","0","1","0","20","0","21","0","-16","0","4","0","-2","0","-12","0","2","0","-24","0","16","0","5","0","32","0","-18","0","-15","0","10","0","16","0","-22","0","14","0","28","0","-8","0","-9","0","-20","0","6","0","1","0","-16","0","16","0","12","0","30","0","-6","0","-30","0","-4","0","8","0","-21","0","8","0","-2","0","-22","0","-24","0","-8","0","21","0","8","0","10","0","44","0","-7","0","-18","0","-6","0","16","0","24","0","-6","0","-13","0","10","0","20","0","-16","0","-20","0","5","0","16","0","-10","0","40","0","4","0","-10","0","21","0","20","0","-16","0","-18","0","4","0","-6","0","12","0","-55","0","0","0","-10","0","23","0","8","0","-16","0","-16","0","6","0","36","0","20","0","4","0","-28","0","1","0","25","0","-3","0","-20","0","4","0","18","0","17","0","5","0","60","0","-18","0","-6","0","-12","0","-8","0","-24","0","-5","0","28","0","7","0","12","0","32","0","16","0","20","0","2","0","21","0","-24","0","-25","0","12","0","12","0","-45","0","-4","0","-16","0","17","0","4","0","-8","0","24","0","-5","0","-4","0","-2","0","-10","0","-22","0","20","0","-20","0","36","0","4","0","-4","0","6","0","-25","0","6","0","5","0","32","0","-18","0","-10","0","12","0","-11","0","-40","0","10","0","10","0","-7","0","8","0","-36","0","-22","0","-8","0","-12","0","-32","0","-66","0","-12","0","-18","0","20","0","2","0","-40","0","11","0","-25","0","11","0","-2","0","32","0","-10","0","-11","0","-12","0","22","0","40","0","12","0","33","0","30","0","30","0","40","0","20","0","-2","0","0","0","-6","0","-22","0","-18","0","1","0","-8","0","-15","0","24","0","-1","0","-12","0","-3","0","-12","0","0","0","-9","0","20","0","-6","0","-12","0","16","0","0","0","40","0","-8","0","-12","0","-24","0","-2","0","-4","0","26","0","-12","0","-11","0","-39","0","1","0","12","0","24","0","-40","0","13","0","-54","0","21","0","-2","0","-16","0","-16","0","-40","0","29","0","-8","0","-20","0","-32","0","-2","0","-25","0","-26","0","-12","0","6","0","44","0","5","0","16","0","41","0","-24","0","8","0","-16","0","16","0","-28","0","15","0","-10","0","-48","0","8","0","32","0","-11","0","16","0","-18","0","-9","0","-84","0","30","0","26","0","22","0","10","0","-48","0","-1","0","16","0","-40","0","43","0","-55","0","26","0","-20","0","14","0","31","0","-16","0","28","0","-30","0","28","0","16","0","20","0","-6","0","-9","0","18","0","24","0","-20","0","20","0","-14","0","-12","0","-9","0","80","0","1","0","-16","0","20","0","-16","0","11","0","0","0","13","0","16","0","-26","0","12","0","16","0","7","0","30","0","18","0","72","0","12","0","12","0","-12","0","-30","0","44","0","24","0","-4","0","25","0","0","0","-16","0","-20","0","8","0","-21","0","-48","0","99","0","8","0","-18","0","20","0","-5","0","48","0","0","0","-22","0","-12","0","50","0","-24","0","2","0","-10","0","16","0","-60","0","-8","0","21","0","-22","0","-7","0","8","0","100","0","48","0","-20","0","-30","0","5","0","44","0","-12","0","38","0","-7","0","6","0","48","0","-45","0","6","0","-28","0","-6","0","-48","0","-10","0","16","0","4","0","-46","0","-48","0","-1","0","-35","0","-6","0","-21","0","8","0","-13","0","24","0","-20","0","-20","0","48","0","-14","0","20","0","-54","0","-12","0","-16","0","-15","0","-14","0","4","0","-30","0","4","0","5","0","9","0","-12","0","16","0","48","0","-14","0","20","0","42","0","-24","0","40","0","-42","0","2","0","4","0","-25","0","-44","0","20","0","-49","0","18","0","21","0","32","0","-32","0","20","0","-6","0","-3","0","-40","0","-19","0","75","0","-18","0","34","0","48","0","4","0","-8","0","50","0","12","0","-4","0","-37","0","12","0","18","0","10","0","-55","0","36","0","-32","0","0","0","22","0","-84","0","-10","0","8","0","-48","0","23","0","64","0","-58","0","20","0"],"lmfdb":"agrees","curve":{"cremona":"368d1","lmfdb":"368.e","ainvs":[0,1,0,0,-1],"rank":1,"torsion":1},"space":"368.2.a","level":368,"weight":2,"T":[[3,1],[5,2],[11,3],[13,4],[17,5],[7,6],[19,7],[29,8],[31,9],[37,10],[41,11],[43,12],[47,13],[53,14],[59,15],[61,16]],"status":"proven","derived":{"al":[[2,null],[23,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/368.2.a.e"}