{"label":"672.2.a.c","letter":"c","dim":1,"charpoly":["398","1"],"traces":["1","0","-1","0","0","0","-1","0","1","0","-2","0","-2","0","0","0","4","0","-4","0","1","0","-6","0","-5","0","-1","0","-2","0","0","0","2","0","0","0","-6","0","2","0","8","0","-8","0","0","0","-4","0","1","0","-4","0","-6","0","0","0","4","0","0","0","-14","0","-1","0","0","0","4","0","6","0","-2","0","-2","0","5","0","2","0","4","0","1","0","12","0","0","0","2","0","0","0","2","0","0","0","0","0","6","0","-2","0","12","0","-8","0","0","0","6","0","-18","0","6","0","18","0","0","0","-2","0","-4","0","-7","0","-8","0","0","0","12","0","8","0","20","0","4","0","0","0","-18","0","12","0","4","0","4","0","0","0","-1","0","10","0","16","0","4","0","0","0","2","0","6","0","6","0","4","0","0","0","-12","0","-9","0","-4","0","-12","0","5","0","0","0","10","0","14","0","14","0","0","0","-8","0","1","0","-10","0","-26","0","0","0","2","0","24","0","-4","0","2","0","0","0","-6","0","8","0","-24","0","2","0","0","0","0","0","2","0","-8","0","-16","0","-5","0","-8","0","-2","0","-2","0","-26","0","0","0","-4","0","26","0","22","0","-1","0","0","0","8","0","-12","0","0","0","12","0","0","0","-8","0","6","0","-2","0","-14","0","0","0","0","0","16","0","-32","0","-2","0","10","0","10","0","0","0","-2","0","-4","0","0","0","-8","0","-1","0","-6","0","28","0","0","0","2","0","12","0","8","0","-12","0","0","0","-28","0","8","0","-28","0","-14","0","0","0","-14","0","4","0","-6","0","-16","0","10","0","18","0","4","0","16","0","-6","0","0","0","26","0","-18","0","0","0","-1","0","0","0","-30","0","10","0","2","0","-36","0","0","0","4","0","-10","0","-3","0","7","0","0","0","8","0","8","0","6","0","14","0","0","0","4","0","-16","0","-12","0","-8","0","0","0","-8","0","-26","0","-24","0","-20","0","0","0","18","0","-4","0","14","0","0","0","0","0","12","0","14","0","18","0","0","0","0","0","-12","0","8","0","10","0","-4","0","-20","0","14","0","-4","0","-18","0","2","0","0","0","24","0","-24","0","1","0","-22","0","0","0","-10","0","-6","0","-16","0","-16","0","0","0","10","0","-4","0","-36","0","-4","0","0","0","32","0","-4","0","-2","0","16","0","20","0","-6","0","36","0","12","0","-6","0","0","0","40","0","-4","0","-6","0","-8","0","0","0","2","0","40","0","12","0","-24","0","0","0","9","0","16","0","2","0","4","0","0","0","8","0","12","0","-12","0","-28","0","-5","0","0","0","13","0","0","0","-16","0","0","0","-10","0","-2","0","-14","0","-14","0","0","0","-20","0","-14","0","8","0","-4","0","0","0","-22","0","16","0","8","0","-16","0","0","0","-1","0","-10","0","20","0","10","0","30","0","10","0","26","0","-12","0","12","0","0","0","24","0","0","0","-2","0","-4","0","0","0","-24","0","38","0","18","0","4","0","0","0","-40","0","-2","0","8","0","22","0","0","0","22","0","28","0","6","0","0","0","25","0","-8","0","-24","0","20","0","24","0","0","0","-2","0","-2","0","22","0","4","0","0","0","12","0","0","0","0","0","46","0","0","0","-2","0","6","0","-30","0","8","0","0","0","12","0","16","0","28","0","-34","0","5","0","12","0","-6","0","8","0","-30","0","0","0","2","0","12","0","-20","0","2","0","0","0","32","0","26","0","-26","0","24","0","0","0","-12","0","-26","0","4","0","0","0","0","0","-26","0","48","0","8","0","-22","0","10","0","-8","0","1","0","-32","0","6","0","0","0","-8","0","36","0","-8","0","6","0","0","0","12","0","-6","0","-16","0","0","0","0","0","-10","0","-12","0","40","0","18","0","0","0","0","0","-46","0","8","0","-12","0","0","0","-6","0","-32","0","4","0","2","0","0","0","28","0","14","0","-18","0","28","0","0","0","-12","0","-16","0","0","0","4","0","0","0","-16","0","50","0","-4","0","32","0","0","0","32","0","2","0","-30","0","-4","0","-10","0","-42","0","-50","0","-10","0","4","0","0","0","0","0","-4","0","-25","0","2","0","0","0","7","0","4","0","36","0","-30","0","0","0","-40","0","-4","0","8","0","-6","0","0","0","1","0","-8","0","-8","0","6","0","0","0","-2","0","-28","0","-12","0","-56","0","0","0","-12","0","-12","0","-2","0","16","0","0","0","-12","0","0","0","-24","0","-8","0","0","0","-16","0","12","0","14","0","-24","0","0","0","-20","0","32","0","28","0","4","0","30","0","-8","0","-40","0","-4","0","28","0","0","0","-30","0","14","0","56","0","-48","0","0","0","14","0","4","0","14","0","26","0","0","0","-4","0","18","0","-31","0","6","0","0","0","-52","0","16","0","-28","0","-12","0","-10","0","54","0","0","0","-18","0","-32","0","0","0","-4","0","48","0","-16","0","-16","0","0","0","-14","0","6","0"],"lmfdb":"agrees","curve":{"cremona":"672a1","lmfdb":"672.c","ainvs":[0,-1,0,2,4],"rank":1,"torsion":2},"space":"672.2.a","level":672,"weight":2,"T":[[5,1],[11,2],[13,3],[17,4],[19,5],[23,6],[29,7],[31,8],[37,9],[41,10],[43,11],[47,12],[53,13],[59,14],[61,15],[67,16]],"status":"proven","derived":{"al":[[2,null],[3,1],[7,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/672.2.a.c"}