{"label":"498.2.a.a","letter":"a","dim":1,"charpoly":["76","1"],"traces":["1","-1","1","1","-1","-1","-4","-1","1","1","3","1","-6","4","-1","1","-4","-1","-3","-1","-4","-3","-1","-1","-4","6","1","-4","4","1","-2","-1","3","4","4","1","3","3","-6","1","6","4","-12","3","-1","1","0","1","9","4","-4","-6","-9","-1","-3","4","-3","-4","-7","-1","-1","2","-4","1","6","-3","7","-4","-1","-4","0","-1","4","-3","-4","-3","-12","6","-4","-1","1","-6","1","-4","4","12","4","-3","5","1","24","-1","-2","0","3","-1","10","-9","3","-4","-9","4","-19","6","4","9","18","1","15","3","3","-4","12","3","1","4","-6","7","16","1","-2","1","6","-2","9","4","10","-1","-12","-6","0","3","12","-7","-1","4","10","1","-13","4","0","0","-18","1","-4","-4","9","3","-14","4","-22","3","-4","12","2","-6","2","4","-9","1","4","-1","16","6","-3","-1","-3","4","23","-4","-3","-12","-24","-4","16","3","-7","-5","6","-1","24","-24","-1","1","-3","2","-12","0","-4","-3","0","1","-3","-10","6","9","24","-3","-12","4","7","9","-16","-4","-6","19","-1","-6","-9","-4","-17","-9","0","-18","12","-1","8","-15","4","-3","24","-3","8","4","-4","-12","9","-3","-23","-1","-12","-4","-1","6","0","-7","-4","-16","-26","-1","1","2","1","-1","-9","-6","18","2","1","-9","-30","-4","-3","-10","4","1","15","12","-12","6","4","0","-28","-3","9","-12","5","7","-10","1","-15","-4","24","-10","-12","-1","3","13","-2","-4","7","0","-21","0","3","18","-24","-1","-1","4","10","4","6","-9","7","-3","3","14","6","-4","48","22","-9","-3","1","4","-7","-12","-19","-2","-6","6","-6","-2","4","-4","-28","9","12","-1","18","-4","12","1","24","-16","15","-6","0","3","-13","1","3","3","-7","-4","-18","-23","12","4","-6","3","-8","12","1","24","-32","4","6","-16","-6","-3","0","7","0","5","16","-6","32","1","-10","-24","-2","24","-4","1","31","-1","6","3","36","-2","23","12","9","0","-24","4","-20","3","10","0","-36","-1","12","3","-12","10","30","-6","4","-9","0","-24","4","3","13","12","12","-4","-30","-7","12","-9","-1","16","9","4","-7","6","10","-19","28","1","-1","6","-13","9","9","4","-24","17","0","9","16","0","4","18","-18","-12","39","1","6","-8","-4","15","3","-4","-25","3","9","-24","39","3","-5","-8","-14","-4","-23","4","18","12","-22","-9","-24","3","-32","23","-4","1","27","12","-18","4","2","1","-28","-6","-28","0","2","7","-36","4","12","16","-9","26","4","1","-18","-1","4","-2","-10","-1","-13","1","16","9","36","6","-16","-18","-3","-2","0","-1","40","9","-3","30","0","4","9","3","23","10","24","-4","-16","-1","-3","-15","19","-12","0","12","-24","-6","18","-4","-14","0","16","28","8","3","-22","-9","-7","12","-36","-5","-18","-7","6","10","27","-1","-6","15","24","4","-15","-24","-14","10","-1","12","-12","1","16","-3","-3","-13","-14","2","72","4","-12","-7","-11","0","-12","21","-4","0","-21","-3","41","-18","0","24","4","1","-28","1","-3","-4","-4","-10","-27","-4","6","-6","-12","9","6","-7","24","3","-20","-3","-16","-14","-12","-6","6","4","-44","-48","7","-22","2","9","-4","3","-16","-1","0","-4","46","7","-6","12","-10","19","2","2","-1","6","-20","-6","11","6","-9","2","-12","-4","-49","4","-17","28","-10","-9","-54","-12","0","1","33","-18","19","4","12","-12","-8","-1","-21","-24","8","16","43","-15","0","6","4","0","-15","-3","34","13","24","-1","-12","-3","-4","-3","8","7","-3","4","29","18","-4","23","-1","-12","-40","-4","9","6","26","-3","-10","8","-23","-12","54","-1","-20","-24","-12","32","13","-4","-24","-6","-1","16","40","6","-9","3","0","0","36","-7","-24","0","-4","-5","2","-16","18","6","-26","-32","6","-1","76","10","1","24","-16","2","26","-24","1","4","48","-1","-14","-31","-9","1","21","-6","-12","-3","18","-36","0","2","14","-23","1","-12","-72","-9","6","0","-30","24","22","-4","-9","20","-3","-3","-3","-10","-60","0","4","36","42","1","34","-12","15","-3","-16","12","8","-10","-12","-30","-18","6","0","-4","4","9","-2","0","-28","24","-28","-4","-48","-3","6","-13","9","-12","35","-12","0","4","5","30","12","7","-4","-12","-10","9","-6","1","20","-16","-15","-9","-16","-4","36","7","24","-6","-7","-10","-39","19","-12","-28","42","-1","-18","1","3","-6","-36","13","3","-9","-2","-9","24","-4","-13","24","7","-17","-23","0","8","-9","-21","-16","-3","0","31","-4","3","-18","-4","18","-30","12","-24","-39","45","-1","24","-6","-1","8","-12","4","-42","-15","10","-3","-36","4","2","25","6","-3","34","-9","13","24","7","-39","2","-3","-40","5","3","8","0","14","-6","4","6","23","-8","-4","36","-18","48","-12","-24","22","14","9","-9","24","-3","-3","3","32","1","-23","0","4","5","-1","-7","-27","0","-12","-12","18","-19","-4","-50","-2","-27","-1","-6","28","12","6","-26","28","-6","0","54","-2","-6","-7","4","36","0","-4","-24","-12","-28","-16","-48","9","0","-26","12","-4","-40","-1","-27","18","18","1","3","-4","-1","2","12","10","22","1","52","13","24","-1","52","-16","15","-9","15","-36","1","-6","-24","16","0","18","12","3","0","2","-13","0","12","1","-6","-40","3","-9"],"lmfdb":"agrees","curve":{"cremona":"498b1","lmfdb":"498.a","ainvs":[1,0,1,-9,28],"rank":1,"torsion":1},"space":"498.2.a","level":498,"weight":2,"T":[[5,1],[7,3],[11,5],[13,7],[17,9]],"status":"proven","derived":{"al":[[2,1],[3,-1],[83,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/498.2.a.a"}