{"label":"690.2.a.e","letter":"e","dim":1,"charpoly":["-128","1"],"traces":["1","-1","1","1","-1","-1","0","-1","1","1","-4","1","-6","0","-1","1","-6","-1","4","-1","0","4","1","-1","1","6","1","0","-6","1","-8","-1","-4","6","0","1","6","-4","-6","1","10","0","4","-4","-1","-1","-8","1","-7","-1","-6","-6","-14","-1","4","0","4","6","0","-1","10","8","0","1","6","4","4","-6","1","0","8","-1","2","-6","1","4","0","6","-12","-1","1","-10","-16","0","6","-4","-6","4","-2","1","0","1","-8","8","-4","-1","-14","7","-4","1","18","6","-16","6","0","14","8","1","2","-4","6","0","-14","-4","-1","-6","-6","0","0","1","5","-10","10","-8","-1","0","12","-1","4","-6","8","-4","0","-4","-1","6","2","-1","12","0","-8","-8","24","1","6","-2","-7","6","10","-1","16","-4","-6","0","8","-6","6","12","-14","1","0","-1","4","10","4","16","-16","0","23","-6","4","4","18","6","0","-4","0","2","0","-1","-6","0","10","-1","-6","8","24","-8","0","4","-8","1","10","14","6","-7","26","4","-12","-1","4","-18","0","-6","-10","16","1","-6","-16","0","-20","-14","8","-8","-4","-1","0","-2","2","4","36","-6","-20","0","1","14","8","4","-14","1","0","6","22","6","8","0","-12","0","-8","-1","2","-5","1","10","7","-10","-24","8","-16","1","-12","0","-4","-12","6","1","6","-4","0","6","-6","-8","-32","4","14","0","-2","4","10","1","-8","-6","0","-2","-4","1","-30","-12","-8","0","30","8","4","8","-4","-24","0","-1","19","-6","-14","2","-14","7","0","-6","-4","-10","-6","1","0","-16","18","4","-10","6","12","0","-16","-8","-8","6","10","-6","0","-12","18","14","24","-1","8","0","-24","1","-6","-4","2","-10","0","-4","-20","-16","6","16","-4","0","-14","-23","-14","6","32","-4","0","-4","-1","-18","-28","-6","-34","0","-6","4","6","0","-8","-2","0","0","-8","1","-3","6","5","0","-2","-10","-32","1","10","6","0","-8","-18","-24","-1","8","36","0","4","-4","12","8","16","-1","0","-10","4","-14","-6","-6","-6","7","8","-26","12","-4","2","12","0","1","6","-4","48","18","-1","0","-24","6","10","10","2","-16","0","-1","16","6","12","16","-12","0","-38","20","-8","14","-6","-8","0","8","24","4","8","1","2","0","6","2","4","-2","-24","-4","-7","-36","12","6","2","20","10","0","10","-1","-40","-14","16","-8","0","-4","10","14","-6","-1","2","0","-20","-6","8","-22","8","-6","0","-8","6","0","-16","12","4","0","-14","8","24","1","-36","-2","0","5","14","-1","20","-10","4","-7","0","10","36","24","4","-8","0","16","12","-1","-16","12","-24","0","-18","4","23","12","-6","-6","0","-1","4","-6","16","4","32","0","18","-6","-42","6","-20","8","0","32","48","-4","1","-14","0","0","-60","2","-8","-4","0","-10","28","-1","-34","8","-6","6","-2","0","20","2","10","4","-24","-1","0","30","-6","12","18","8","-24","0","24","-30","-8","-8","14","-4","0","-8","-18","4","20","24","-8","0","1","1","34","-19","10","6","0","14","56","-2","6","14","-4","-7","-32","0","26","6","6","4","0","10","-12","6","-40","-1","10","0","4","16","-5","-18","-28","-4","0","10","48","-6","14","-12","-10","0","18","16","20","8","1","8","0","-6","1","-10","-16","6","-36","0","20","12","-20","-18","-12","-14","42","-24","8","1","-2","-8","-44","0","-4","24","24","-1","0","6","0","4","-14","-2","-8","10","2","0","-36","4","34","20","36","16","0","-6","-6","-16","-20","4","-40","0","-22","14","1","23","-6","14","0","-6","8","-32","44","4","-2","0","-14","4","84","1","-28","18","0","28","-12","6","-60","34","22","0","18","6","24","-4","8","-6","0","0","10","8","-12","2","-8","0","-24","0","-8","8","-40","-1","0","3","2","-6","-6","-5","8","0","1","2","-24","10","6","32","7","-1","-16","-10","-12","-6","-24","0","-24","8","-10","18","-16","24","0","1","-28","-8","-12","-36","-16","0","54","-4","-4","4","10","-12","0","-8","6","-16","0","1","-6","0","6","10","2","-4","-8","14","0","6","40","6","-32","6","-6","-7","-6","-8","36","26","-32","-12","0","4","-60","-2","14","-12","18","0","48","-1","-2","-6","-8","4","0","-48","10","-18","-30","1","20","0","-8","24","-4","-6","16","-10","0","-10","-46","-2","20","16","-4","0","-8","1","-18","-16","-30","-6","42","-12","16","-16","-8","12","-48","0","7","38","30","-20","-23","8","0","-14","4","6","6","8","-22","0","-4","-8","-42","-24","4","-4","0","-8","24","-1","-18","-2","19","0","48","-6","-24","-2","-14","-4","0","2","2","24","-14","4","6","7","44","36","0","-12","8","-6","0","-2","-4","-20","-32","-10","0","0","-6","-10","48","1","84","40","0","14","6","-16","-4","8","18","0","8","4","64","-10","-10","-14","0","6","12","1","12","-2","-48","0","6","20","-16","6","-6","-8","-28","22","-8","-8","-24","6","10","0","10","8","-14","-6","10","0","0","16","-20","-12","-12","-4","18","0","-22","14","8","-8","24","-24","0","-1","33","36","8","2","-10","0","28","-5","-24","-14","12","1","0","-20","-6","10","2","-4","8","7","2","0","-24","-10","-26","-36","0","-24","4","-4","0","8","-20","0","12","-16","-22","-12","6","1"],"lmfdb":"agrees","curve":{"cremona":"690e1","lmfdb":"690.e","ainvs":[1,0,1,-604,-5734],"rank":1,"torsion":2},"space":"690.2.a","level":690,"weight":2,"T":[[7,1],[11,2],[13,3],[17,4],[19,5],[29,6],[31,7],[37,8],[41,9],[43,10],[47,11],[53,12],[59,13],[61,14],[67,15],[71,16]],"status":"proven","derived":{"al":[[2,1],[3,-1],[5,1],[23,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/690.2.a.e"}