{"label":"756.2.a.f","letter":"f","dim":1,"charpoly":["-12","1"],"traces":["1","0","0","0","3","0","1","0","0","0","3","0","2","0","0","0","-6","0","5","0","0","0","-9","0","4","0","0","0","6","0","-1","0","0","0","3","0","11","0","0","0","3","0","-4","0","0","0","-12","0","1","0","0","0","0","0","9","0","0","0","0","0","8","0","0","0","6","0","-10","0","0","0","3","0","8","0","0","0","3","0","-4","0","0","0","6","0","-18","0","0","0","3","0","2","0","0","0","15","0","8","0","0","0","-18","0","-1","0","0","0","12","0","5","0","0","0","-6","0","-27","0","0","0","-6","0","-2","0","0","0","-3","0","-22","0","0","0","0","0","5","0","0","0","-18","0","-4","0","0","0","6","0","18","0","0","0","-18","0","-10","0","0","0","-3","0","-22","0","0","0","-9","0","2","0","0","0","-18","0","-9","0","0","0","21","0","4","0","0","0","-12","0","2","0","0","0","33","0","-18","0","0","0","21","0","-10","0","0","0","6","0","11","0","0","0","6","0","9","0","0","0","15","0","-22","0","0","0","-12","0","-1","0","0","0","-12","0","17","0","0","0","18","0","20","0","0","0","-18","0","-36","0","0","0","-12","0","-28","0","0","0","3","0","10","0","0","0","0","0","-27","0","0","0","15","0","11","0","0","0","3","0","0","0","0","0","15","0","20","0","0","0","12","0","23","0","0","0","-24","0","20","0","0","0","3","0","19","0","0","0","-18","0","0","0","0","0","-18","0","-4","0","0","0","24","0","-7","0","0","0","-6","0","26","0","0","0","12","0","18","0","0","0","-30","0","8","0","0","0","-12","0","-16","0","0","0","-30","0","-13","0","0","0","-3","0","1","0","0","0","-9","0","26","0","0","0","-3","0","9","0","0","0","0","0","6","0","0","0","24","0","-13","0","0","0","0","0","17","0","0","0","12","0","-16","0","0","0","18","0","9","0","0","0","12","0","54","0","0","0","-12","0","-22","0","0","0","6","0","-2","0","0","0","33","0","-4","0","0","0","0","0","18","0","0","0","30","0","35","0","0","0","-24","0","8","0","0","0","-3","0","-10","0","0","0","-45","0","8","0","0","0","-39","0","9","0","0","0","30","0","9","0","0","0","6","0","-31","0","0","0","9","0","26","0","0","0","24","0","-10","0","0","0","-12","0","20","0","0","0","0","0","22","0","0","0","24","0","-40","0","0","0","15","0","-36","0","0","0","3","0","32","0","0","0","42","0","-54","0","0","0","-30","0","8","0","0","0","-3","0","-36","0","0","0","-15","0","5","0","0","0","6","0","58","0","0","0","6","0","36","0","0","0","3","0","11","0","0","0","15","0","8","0","0","0","30","0","-4","0","0","0","-30","0","-8","0","0","0","-18","0","-18","0","0","0","-42","0","-22","0","0","0","-36","0","14","0","0","0","6","0","0","0","0","0","-18","0","-5","0","0","0","-15","0","-18","0","0","0","33","0","-34","0","0","0","-6","0","-4","0","0","0","-24","0","-25","0","0","0","-12","0","-25","0","0","0","3","0","-29","0","0","0","-66","0","20","0","0","0","-66","0","2","0","0","0","42","0","5","0","0","0","-24","0","0","0","0","0","48","0","0","0","0","0","27","0","2","0","0","0","15","0","-54","0","0","0","24","0","2","0","0","0","33","0","8","0","0","0","45","0","-54","0","0","0","0","0","-40","0","0","0","-12","0","-18","0","0","0","30","0","55","0","0","0","-18","0","17","0","0","0","9","0","18","0","0","0","24","0","-1","0","0","0","24","0","8","0","0","0","24","0","-28","0","0","0","-30","0","-22","0","0","0","-9","0","-54","0","0","0","12","0","-4","0","0","0","-30","0","-34","0","0","0","-6","0","5","0","0","0","0","0","-10","0","0","0","45","0","-4","0","0","0","15","0","9","0","0","0","-66","0","-4","0","0","0","-6","0","16","0","0","0","-3","0","72","0","0","0","24","0","-27","0","0","0","-6","0","11","0","0","0","6","0","-20","0","0","0","0","0","14","0","0","0","33","0","-4","0","0","0","-6","0","-54","0","0","0","18","0","7","0","0","0","-27","0","-2","0","0","0","-99","0","32","0","0","0","39","0","-31","0","0","0","12","0","63","0","0","0","-12","0","-20","0","0","0","-3","0","-22","0","0","0","21","0","32","0","0","0","30","0","-22","0","0","0","-60","0","-36","0","0","0","-6","0","0","0","0","0","6","0","14","0","0","0","-24","0","18","0","0","0","0","0","20","0","0","0","6","0","44","0","0","0","6","0","5","0","0","0","-54","0","-52","0","0","0","15","0","-27","0","0","0","-15","0","16","0","0","0","-6","0","63","0","0","0","-18","0","-30","0","0","0","-30","0","-10","0","0","0","30","0","-4","0","0","0","48","0","9","0","0","0","-36","0","18","0","0","0","36","0","-22","0","0","0","33","0","-10","0","0","0"],"lmfdb":"agrees","curve":{"cremona":"756e1","lmfdb":"756.f","ainvs":[0,0,0,9,-2],"rank":0,"torsion":1},"space":"756.2.a","level":756,"weight":2,"T":[[5,1],[11,3]],"status":"proven","derived":{"al":[[2,null],[3,null],[7,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/756.2.a.f"}