{"label":"570.2.a.b","letter":"b","dim":1,"charpoly":["274","1"],"traces":["1","-1","-1","1","-1","1","2","-1","1","1","-6","-1","0","-2","1","1","2","-1","-1","-1","-2","6","4","1","1","0","-1","2","-8","-1","-8","-1","6","-2","-2","1","-4","1","0","1","-4","2","-6","-6","-1","-4","-12","-1","-3","-1","-2","0","6","1","6","-2","1","8","-4","1","2","8","2","1","0","-6","-8","2","-4","2","0","-1","6","4","-1","-1","-12","0","8","-1","1","4","4","-2","-2","6","8","6","-4","1","0","4","8","12","1","1","12","3","-6","1","-10","2","0","0","2","-6","-12","-1","-14","-6","4","2","14","-1","-4","-8","0","4","4","-1","25","-2","4","-8","-1","-2","-12","-1","6","0","22","6","-2","8","1","-2","6","4","0","-2","12","0","0","1","8","-6","3","-4","22","1","0","1","2","12","8","0","6","-8","-6","1","8","-1","6","-4","-6","-4","-16","2","-13","2","-1","-6","18","-8","2","-6","4","4","12","-1","2","0","-2","-4","4","-8","-12","-12","-2","-1","-22","-1","-8","-12","0","-3","14","6","20","-1","8","10","-16","-2","4","0","4","0","6","-2","-28","6","0","12","6","1","-16","14","-6","6","0","-4","-16","-2","1","-14","-28","1","18","4","12","8","14","0","12","-4","-8","-4","-18","1","-22","-25","-1","2","3","-4","0","8","-4","1","-14","2","-24","12","2","1","6","-6","-8","0","-8","-22","16","-6","-6","2","4","-8","8","-1","20","2","0","-6","-6","-4","-2","0","-8","2","16","-12","22","0","-1","0","-8","-1","-13","-8","-12","6","10","-3","4","4","6","-22","0","-1","-12","0","10","-1","-2","-2","-8","-12","0","-8","-6","0","-14","-6","-2","8","6","6","48","-1","12","-8","-2","1","0","-6","14","4","-24","6","-20","4","-4","16","8","-2","-20","13","-14","-2","48","1","-20","6","4","-18","36","8","-2","-2","0","6","-18","-4","0","-4","-4","-12","-6","1","1","-2","-25","0","-6","2","-10","4","-4","-4","12","8","-24","12","1","12","0","2","20","1","12","22","24","1","12","8","-6","12","-30","0","8","3","-22","-14","-8","-6","22","-20","2","1","0","-8","0","-10","-1","16","24","2","14","-4","-6","0","-8","-4","-4","0","0","-6","-14","2","-2","28","-12","-6","2","0","4","-12","0","-6","36","-1","0","16","-8","-14","-4","6","-8","-6","-3","0","-24","4","4","16","-22","2","-4","-1","24","14","0","28","0","-1","-14","-18","-2","-4","-34","-12","-26","-8","-8","-14","-8","0","-16","-12","-6","4","36","8","-1","4","6","18","18","-1","0","22","-8","25","-12","1","16","-2","-6","-3","-34","4","-16","0","6","-8","0","4","24","-1","16","14","40","-2","10","24","13","-12","36","-2","12","-1","1","-6","0","6","72","8","-18","0","24","8","20","22","-2","-16","-16","6","-7","6","-4","-2","0","-4","12","8","-12","-8","18","1","-10","-20","-2","-2","14","0","40","6","2","6","8","4","16","2","-4","0","-22","8","0","-2","12","-16","4","12","-14","-22","2","0","-20","1","16","0","22","8","4","1","-38","13","8","8","8","12","-36","-6","0","-10","24","3","8","-4","-14","-4","14","-6","-4","22","-20","0","-36","1","-10","12","-8","0","-25","-10","40","1","16","2","0","2","-10","8","-4","12","-38","0","-8","8","-4","6","-8","0","1","14","-6","6","-8","2","0","-8","28","-6","12","-6","0","-48","0","1","-12","-12","-26","8","-6","2","-24","-1","24","0","16","6","-18","-14","-22","-4","6","24","-48","-6","26","20","0","-4","2","4","-32","-16","16","-8","-12","2","-28","20","-1","-13","22","14","24","2","28","-48","-36","-1","-6","20","-18","-6","0","-4","-8","18","-12","-36","0","-8","-8","2","-14","2","6","0","4","-6","-12","18","-20","4","50","0","8","4","-32","4","0","12","18","6","14","-1","0","-1","22","2","-8","25","14","0","1","6","-12","-2","18","10","-3","-4","48","4","-28","4","0","-12","-8","-8","-22","24","4","-12","-24","-1","40","-12","14","0","0","-2","-38","-20","24","-1","-18","-12","-28","-22","-2","-24","0","-1","-14","-12","-6","-8","6","6","-8","-12","8","30","4","0","0","-8","8","-3","-6","22","44","14","-16","8","28","6","0","-22","6","20","2","-2","-24","-1","-4","0","-36","8","-8","0","-8","10","-30","1","-28","-16","-20","-24","-6","-2","6","-14","0","4","-50","6","14","0","6","8","-36","4","-30","4","2","0","-6","0","16","6","8","14","24","-2","35","2","-16","-28","13","12","50","6","-22","-2","-16","0","26","-4","1","12","18","0","20","6","8","-36","24","1","-18","0","13","-16","-48","8","0","14","12","4","-2","-6","-32","8","-10","6","14","3","14","0","-4","24","-8","-4","-24","-4","-6","-16","12","22","-12","-2","0","4","64","1","12","-24","12","-14","-2","0","-28","-28","-10","0","16","1","-24","14","2","18","44","2","32","4","8","34","0","12","-4","26","0","8","-6","8","3","14","6","8","12","0","-34","16","14","12","-40","6","-16","-4","2","-36","44","-8","0","1","-6","-4","-34","-6","22","-18","-48","-18","12","1","33","0","-12","-22","8","8","-18","-25","2","12","-24","-1","0","-16","0","2","42","6","24","3","-14","34","24","-4","-14","16","24","0","-24","-6","8","8","20","0","-20","-4","-58","-24","4","1"],"lmfdb":"agrees","curve":{"cremona":"570a1","lmfdb":"570.b","ainvs":[1,1,0,-98,372],"rank":1,"torsion":2},"space":"570.2.a","level":570,"weight":2,"T":[[7,1],[11,2],[13,3],[17,4],[23,5],[29,6],[31,7],[37,8],[41,9],[43,10],[47,11],[53,12]],"status":"proven","derived":{"al":[[2,1],[3,1],[5,1],[19,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/570.2.a.b"}