{"label":"670.2.a.b","letter":"b","dim":1,"charpoly":["-3","1"],"traces":["1","-1","0","1","1","0","1","-1","-3","-1","-5","0","-2","-1","0","1","-6","3","2","1","0","5","-4","0","1","2","0","1","0","0","0","-1","0","6","1","-3","3","-2","0","-1","10","0","-6","-5","-3","4","-6","0","-6","-1","0","-2","-12","0","-5","-1","0","0","14","0","-15","0","-3","1","-2","0","1","-6","0","-1","5","3","-4","-3","0","2","-5","0","14","1","9","-10","-7","0","-6","6","0","5","-15","3","-2","-4","0","6","2","0","13","6","15","1","-15","0","-14","2","0","12","12","0","19","5","0","1","-15","0","-4","0","6","-14","-6","0","14","15","0","0","1","3","-2","-1","0","2","0","0","2","-1","0","6","5","0","16","1","0","-5","10","-3","0","4","0","3","-16","0","-5","-2","18","5","0","0","2","-14","0","-1","-4","-9","13","10","0","7","8","0","-9","6","-6","-6","15","0","1","-5","0","15","-12","-3","12","2","0","4","3","0","30","-6","0","-2","10","0","-16","-13","0","-6","6","-15","9","-1","0","15","0","0","10","14","12","-2","-10","0","24","-12","0","-12","-6","0","0","-19","0","-5","12","0","2","-1","-3","15","8","0","-11","4","0","0","-11","-6","-6","14","0","6","2","0","-23","-14","0","-15","-6","0","-4","0","0","-1","-27","-3","20","2","0","1","6","0","3","-2","0","0","-4","0","-12","-2","0","1","-4","0","-2","-6","0","-5","-5","0","-15","-16","0","-1","10","0","-25","5","0","-10","10","3","19","0","0","-4","9","0","14","-3","0","16","8","0","-6","5","0","2","-15","-18","-15","-5","0","0","8","0","-11","-2","-3","14","-34","0","0","1","0","4","-12","9","-2","-13","0","-10","-6","0","25","-7","-9","-8","1","0","2","9","0","-6","0","6","-13","6","0","-15","32","0","10","-1","0","5","-14","0","5","-15","0","12","3","3","-15","-12","0","-2","-4","0","-32","-4","-30","-3","-12","0","14","-30","0","6","0","0","-20","2","0","-10","11","0","-5","16","18","13","12","0","24","6","0","-6","14","15","29","-9","0","1","0","0","0","-15","9","0","-15","0","22","-10","0","-14","14","-12","-7","2","0","10","0","0","-20","-24","18","12","-6","0","-15","12","0","6","-25","0","14","0","0","19","-8","0","15","5","18","-12","32","0","-15","-2","0","1","-27","3","-50","-15","0","-8","-2","0","-28","11","0","-4","16","0","-4","0","0","11","-37","6","1","6","0","-14","30","0","2","-6","36","-2","-21","0","-6","23","0","14","13","0","15","15","0","6","0","0","0","4","15","0","5","0","-13","1","0","27","37","3","-15","-20","0","-2","6","0","-4","-1","0","-6","-14","0","30","-3","0","2","-16","0","-25","0","0","4","0","0","-7","12","-42","2","-20","0","12","-1","0","4","30","0","-6","2","0","6","19","0","20","5","45","5","0","0","14","15","0","16","-18","0","12","1","0","-10","-6","0","-15","25","9","-5","15","0","12","10","0","-10","-4","-3","-22","-19","0","0","-7","0","60","4","6","-9","10","0","0","-14","0","3","1","0","-6","-16","0","-8","30","0","-19","6","-3","-5","14","0","22","-2","0","15","12","18","-22","15","0","5","20","0","-6","0","0","-8","-15","0","1","11","0","2","-18","3","20","-14","0","34","-2","0","12","0","-15","-1","-26","0","0","-4","0","12","-25","-9","-70","2","0","13","16","0","0","10","12","6","-12","0","-26","-25","0","7","2","9","0","8","0","-1","75","0","-22","-2","0","-9","38","0","13","6","0","0","14","-6","5","13","0","-6","24","0","-6","15","15","-32","16","0","-60","-10","0","1","-5","0","6","-5","0","14","-15","0","16","-5","-42","15","0","0","10","-12","0","-3","-44","-3","-14","15","0","12","0","0","-48","2","-27","4","36","0","6","32","0","4","-5","30","-8","3","0","12","-18","0","-16","-14","21","30","12","0","-48","-6","0","0","-5","0","-6","20","0","-2","1","0","19","10","18","-11","-28","0","-12","5","0","-16","1","-18","0","-13","0","-12","20","0","-25","-24","0","-6","2","0","-34","6","0","-14","-15","-15","30","-29","0","9","-5","0","36","-1","45","0","20","0","-4","0","0","15","-34","-9","-11","0","0","15","13","0","-12","-22","6","10","36","0","-54","14","0","-14","43","12","20","7","0","-2","36","0","8","-10","0","0","-24","0","-29","20","0","24","-9","-18","14","-12","0","6","-12","0","46","15","-6","-12","33","0","-4","-6","0","25","-58","0","15","-14","0","0","-70","0","-2","-19","-39","8","1","0","-6","-15","0","-5","33","-18","32","12","0","-32","-52","0","-2","15","-45","2","-12","0","-12","-1","0","27","0","-3","72","50","0","15","12","0","-17","8","45","2","-51","0","35","28","0","-11","0","0","2","4","0","-16","-10","0","3","4","42","0","4","0","-12","-11","0","37","30","-6","-37","-1","0","-6","-30","0","-40","14","0","-30","-35","0","8","-2","0","6","26","-36","10","2","0","21","5","0","-31","6","-36","-23","-16","0","-2","-14","0","-13","-24","0","16","-15","0","-15","-30","0","75","-6","-57","0","8","0","6","0","0","-4","24","-15","-58","0","0","-5","9","0","-33","13","0","-1"],"lmfdb":"agrees","curve":{"cremona":"670a1","lmfdb":"670.b","ainvs":[1,-1,0,-524,-8920],"rank":1,"torsion":1},"space":"670.2.a","level":670,"weight":2,"T":[[3,1],[7,3]],"status":"proven","derived":{"al":[[2,1],[5,-1],[67,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/670.2.a.b"}