{"label":"714.2.a.c","letter":"c","dim":1,"charpoly":["-113","1"],"traces":["1","-1","-1","1","1","1","1","-1","1","-1","5","-1","-1","-1","-1","1","-1","-1","-6","1","-1","-5","6","1","-4","1","-1","1","6","1","4","-1","-5","1","1","1","11","6","1","-1","0","1","-9","5","1","-6","4","-1","1","4","1","-1","-7","1","5","-1","6","-6","12","-1","6","-4","1","1","-1","5","13","-1","-6","-1","4","-1","-13","-11","4","-6","5","-1","15","1","1","0","13","-1","-1","9","-6","-5","13","-1","-1","6","-4","-4","-6","1","-9","-1","5","-4","4","-1","-1","1","-1","7","0","-1","-14","-5","-11","1","-13","-6","6","6","-1","-12","-1","1","14","-6","0","4","-9","-1","-2","-1","9","1","-6","-5","-6","-13","-1","1","-16","6","-17","1","-4","-4","-5","1","6","13","-1","11","-11","-4","-4","6","-1","-5","4","1","-14","-15","7","-1","6","-1","22","0","-5","-13","-17","1","-12","1","-6","-9","-14","6","-4","5","-12","-13","18","1","0","1","-6","-6","11","4","-5","4","-1","6","21","-1","16","9","1","1","8","-5","4","4","-13","-4","6","1","0","1","6","-1","-30","1","-2","-7","-4","0","-9","1","4","14","13","5","1","11","-24","-1","-4","13","4","6","-7","-6","-5","-6","-1","1","4","12","-15","1","-5","-1","22","-14","-1","6","1","0","6","-4","-13","9","-13","1","30","2","1","1","3","-9","11","-1","6","6","-27","5","-7","6","-13","13","18","1","9","-1","1","16","-20","-6","-18","17","4","-1","-18","4","-13","4","6","5","0","-1","1","-6","9","-13","12","1","12","-11","-5","11","-6","4","-9","4","-4","-6","6","1","28","5","1","-4","-25","-1","-6","14","1","15","14","-7","30","1","0","-6","6","1","4","-22","14","0","4","5","-15","13","11","17","13","-1","34","12","13","-1","20","6","1","9","-6","14","-9","-6","5","4","1","-5","-31","12","4","13","1","-18","0","-1","17","0","-14","-1","-13","6","0","6","0","-11","-7","-4","-4","5","9","-4","-6","1","-34","-6","2","-21","-32","1","5","-16","-9","-9","6","-1","-6","-1","6","-8","15","5","20","-4","6","-4","-30","13","-4","4","1","-6","55","-1","-26","0","16","-1","12","-6","13","1","17","30","18","-1","-6","2","4","7","4","4","6","0","5","9","4","-1","-28","-4","-6","-14","-36","-13","-20","-5","1","-1","12","-11","13","24","11","1","19","4","0","-13","4","-4","-1","-6","7","7","1","6","10","5","-4","6","-4","1","24","-1","13","-4","14","-12","-45","15","24","-1","-7","5","25","1","-11","-22","-6","14","-9","1","-23","-6","-22","-1","-10","0","-6","-6","5","4","4","13","12","-9","17","13","-16","-1","4","-30","12","-2","-24","-1","-13","-1","6","-3","-1","9","20","-11","14","1","20","-6","-20","-6","4","27","-4","-5","13","7","12","-6","0","13","0","-13","-18","-18","5","-1","23","-9","0","1","-14","-1","2","-16","6","20","-36","6","15","18","-11","-17","-6","-4","9","1","5","18","41","-4","-13","13","1","-4","-26","-6","-36","-5","-21","0","-24","1","-10","-1","-16","6","13","-9","-35","13","-1","-12","21","-1","-24","-12","-8","11","-30","5","-1","-11","-4","6","-16","-4","2","9","13","-4","14","4","-8","6","-6","-6","-4","-1","40","-28","0","-5","-1","-1","-35","4","-6","25","13","1","11","6","30","-14","-11","-1","-20","-15","2","-14","-2","7","-1","-30","4","-1","3","0","19","6","9","-6","-12","-1","60","-4","-4","22","-10","-14","-6","0","-13","-4","12","-5","6","15","-1","-13","-6","-11","36","-17","24","-13","30","1","-36","-34","4","-12","-47","-13","-9","1","-4","-20","32","-6","-16","-1","7","-9","7","6","21","-14","5","9","-17","6","0","-5","1","-4","27","-1","-66","5","-4","31","4","-12","19","-4","15","-13","24","-1","-5","18","5","0","-48","1","-1","-17","-22","0","-24","14","-33","1","1","13","9","-6","-42","0","-1","-6","65","0","-12","11","-6","7","18","4","-11","4","13","-5","0","-9","-4","4","13","6","-4","-1","-36","34","-30","6","-25","-2","-14","21","-1","32","-12","-1","-14","-5","-3","16","32","9","-16","9","-11","-6","0","1","20","6","-6","1","-14","-6","5","8","27","-15","-13","-5","-6","-20","7","4","26","-6","-4","4","13","30","-65","-13","6","4","-18","-4","-26","-1","43","6","-9","-55","22","1","54","26","-1","0","30","-16","23","1","20","-12","1","6","31","-13","18","-1","-1","-17","-17","-30","-4","-18","25","1","7","6","18","-2","-12","-4","14","-7","13","-4","66","-4","-26","-6","-6","0","0","-5","30","-9","0","-4","-23","1","-14","28","-1","4","75","6","-13","14","-9","36","-9","13","1","20","-12","5","-10","-1","-52","1","-12","-12","33","11","-2","-13","5","-24","-24","-11","18","-1","6","-19","24","-4","7","0","9","13","0","-4","4","4","4","1","36","6","65","-7","-6","-7","-6","-1","16","-6","-28","-10","-4","-5","-44","4","-1","-6","16","4","-6","-1","25","-24","-5","1","52","-13","6","4","3","-14","0","12","-1","45","-4","-15","13","-24","-14","1","2","7","21","-5","-30","-25","-16","-1","-15","11","0","22","16","6","-4","-14","-6","9","25","-1","-17","23","-4","6","12","22","65","1","-14","10","32","0","8","6","-4","6","-54","-5","-9","-4","15","-4","4","-13","-40","-12","-11","9"],"lmfdb":"agrees","curve":{"cremona":"714c1","lmfdb":"714.c","ainvs":[1,1,0,-14597,-686643],"rank":0,"torsion":1},"space":"714.2.a","level":714,"weight":2,"T":[[5,1],[11,3],[31,5],[37,7],[41,9]],"status":"proven","derived":{"al":[[2,1],[3,1],[7,-1],[17,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/714.2.a.c"}