{"label":"710.2.a.b","letter":"b","dim":1,"charpoly":["21","1"],"traces":["1","1","-1","1","-1","-1","-1","1","-2","-1","-2","-1","-1","-1","1","1","-4","-2","-1","-1","1","-2","-5","-1","1","-1","5","-1","4","1","-9","1","2","-4","1","-2","-8","-1","1","-1","8","1","-7","-2","2","-5","13","-1","-6","1","4","-1","-6","5","2","-1","1","4","-8","1","10","-9","2","1","1","2","4","-4","5","1","1","-2","-7","-8","-1","-1","2","1","6","-1","1","8","-16","1","4","-7","-4","-2","17","2","1","-5","9","13","1","-1","18","-6","4","1","6","4","-14","-1","-1","-6","-1","5","2","2","8","-1","2","1","5","4","2","-8","4","1","-7","10","-8","-9","-1","2","-16","1","7","1","9","2","1","4","-5","-4","2","5","10","1","-13","1","2","-2","-4","-7","6","-8","15","-1","-6","-1","8","2","9","1","10","6","6","-1","5","1","10","8","-2","-16","-14","1","-12","4","2","-7","1","-4","-1","-2","8","17","-5","2","5","1","-10","-5","8","9","8","13","-5","1","-2","-1","-14","18","-1","-6","-3","4","-20","1","-4","6","-4","4","-8","-14","10","-1","2","-1","2","-6","-1","-1","7","5","9","2","7","2","4","8","-2","-1","-2","2","-2","1","18","5","-2","4","-23","2","-13","-8","-6","4","-25","1","-28","-7","-16","10","6","-8","1","-9","16","-1","13","2","10","-16","-4","1","-18","7","8","1","-8","9","-18","2","6","1","-17","4","27","-5","-20","-4","-1","2","-2","5","-30","10","18","1","2","-13","-4","1","-1","2","-8","-2","-1","-4","-18","-7","26","6","8","-8","-10","15","5","-1","7","-6","-6","-1","-10","8","-14","2","14","9","12","1","1","10","-2","6","18","6","-8","-1","1","5","4","1","-1","10","-2","8","-13","-2","-20","-16","16","-14","-4","1","10","-12","-2","4","18","2","13","-7","-5","1","16","-4","-31","-1","-5","-2","-22","8","-1","17","-4","-5","18","2","-18","5","7","1","7","-10","-4","-5","-16","8","6","9","18","8","1","13","-4","-5","-28","1","16","-2","-19","-1","-2","-14","14","18","-9","-1","20","-6","-9","-3","-6","4","-14","-20","-1","1","10","-4","9","6","-1","-4","16","4","21","-8","-2","-14","8","10","16","-1","-10","2","-24","-1","17","2","-26","-6","-4","-1","-10","-1","-2","7","18","5","6","9","4","2","5","7","32","2","12","4","-24","8","-17","-2","-15","-1","-2","-2","-16","2","6","-2","-1","1","-22","18","-20","5","-15","-2","-30","4","-9","-23","-16","2","-4","-13","-10","-8","14","-6","-1","4","12","-25","1","1","8","-28","-5","-7","-18","-16","12","10","-10","6","0","-8","-16","1","-4","-9","-1","16","-7","-1","14","13","6","2","-6","10","12","-16","-6","-4","7","1","-5","-18","14","7","-26","8","-1","1","26","-8","16","9","1","-18","36","2","2","6","16","1","-8","-17","1","4","5","27","12","-5","-14","-20","-5","-4","-2","-1","19","2","-20","-2","-4","5","-6","-30","-8","10","24","18","7","1","-8","2","36","-13","-2","-4","-1","1","3","-1","-12","2","2","-8","-5","-2","-22","-1","14","-4","16","-18","12","-7","-2","26","0","6","9","8","3","-8","-25","-10","-4","15","20","5","-13","-1","-2","7","-8","-6","7","-6","4","-1","4","-10","-13","8","-26","-14","8","2","21","14","26","9","-25","12","-17","1","1","1","-2","10","32","-2","8","6","-2","18","16","6","6","-8","-2","-1","9","1","27","5","-7","4","28","1","16","-1","-9","10","34","-2","-9","8","14","-13","-37","-2","23","-20","-4","-16","-1","16","-20","-14","2","-4","-20","1","12","10","5","-12","6","-2","-18","4","2","18","24","2","-2","13","-18","-7","6","-5","42","1","-4","16","-10","-4","-32","-31","23","-1","31","-5","8","-2","13","-22","-6","8","1","-1","-12","17","45","-4","-2","-5","25","18","24","2","14","-18","28","5","4","7","47","1","13","7","28","-10","31","-4","-6","-5","-8","-16","11","8","-1","6","13","9","-15","18","32","8","1","1","-32","13","-13","-4","6","-5","1","-28","-10","1","36","16","-2","-2","-8","-19","8","-1","-42","-2","18","-14","3","14","-9","18","-8","-9","-8","-1","-2","20","20","-6","-10","-9","43","-3","18","-6","-2","4","-10","-14","-6","-20","52","-1","-52","1","-34","10","14","-4","-5","9","-27","6","-42","-1","-36","-4","20","16","-10","4","7","21","-2","-8","6","-2","-7","-14","2","8","18","10","-38","16","30","-1","24","-10","14","2","-45","-24","8","-1","-13","17","-2","2","12","-26","7","-6","4","-4","40","-1","30","-10","-2","-1","-45","-2","0","7","8","18","1","5","-1","6","1","9","-12","4","-4","2","-36","5","1","7","4","32","-26","2","-19","12","-8","4","-8","-24","-24","8","16","-17","-2","-2","-13","-15","5","-1","-5","-2","-36","-2","24","-16","-7","2","-5","6","-40","-2","-12","-1","27","1","32","-22","10","18","-9","-20","13","5","14","-15","-1","-2","-8","-30","28","4","-58","-9","6","-23","-12","-16","-8","2","10","-4","-1","-13","-4","-10","-40","-8","5","14","0","-6","7","-1","-18","4","-42","12","2","-25","8","1","-2","1","50","8","2","-28","14","-5","23","-7","-4","-18","-29","-16","-10","12","1","10","2","-10","-34","6","-4","0","4","-8","3","-16","13","1","35","-4","-17","-9","20","-1","20","16","-38","-7","-40","-1"],"lmfdb":"agrees","curve":{"cremona":"710b1","lmfdb":"710.b","ainvs":[1,1,1,-416,3009],"rank":1,"torsion":1},"space":"710.2.a","level":710,"weight":2,"T":[[3,1],[7,3],[11,5],[13,7]],"status":"proven","derived":{"al":[[2,-1],[5,1],[71,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/710.2.a.b"}