{"label":"834.2.a.f","letter":"f","dim":1,"charpoly":["-22","1"],"traces":["1","1","-1","1","0","-1","4","1","1","0","0","-1","-2","4","0","1","-2","1","8","0","-4","0","-4","-1","-5","-2","-1","4","8","0","8","1","0","-2","0","1","-2","8","2","0","6","-4","4","0","0","-4","-10","-1","9","-5","2","-2","6","-1","0","4","-8","8","-12","0","8","8","4","1","0","0","-4","-2","4","0","2","1","10","-2","5","8","0","2","-16","0","1","6","0","-4","0","4","-8","0","10","0","-8","-4","-8","-10","0","-1","-18","9","0","-5","-14","2","-2","-2","0","6","-12","-1","0","0","2","4","-6","-8","0","8","-2","-12","-8","0","-11","8","-6","8","0","4","-16","1","-4","0","0","0","32","-4","0","-2","6","4","-1","0","10","2","0","1","0","10","-9","-2","-22","5","-2","8","-2","0","0","2","24","-16","-6","0","-16","1","12","6","0","0","-6","-4","-9","0","8","4","-20","-8","-20","0","12","10","-4","0","10","-8","-8","-4","0","-8","0","-10","-4","0","-10","-1","-6","-18","0","9","22","0","18","-5","4","-14","32","2","0","-2","-4","-2","0","0","16","6","-2","-12","0","-1","32","0","-10","0","4","2","2","4","-5","-6","-20","-8","8","0","0","8","-18","-2","0","-12","16","-8","10","0","-2","-11","-1","8","0","-6","-16","8","0","0","-20","4","0","-16","0","1","-6","-4","-8","0","8","0","-22","0","0","32","-10","-4","18","0","-10","-2","8","6","0","4","-20","-1","8","0","10","10","12","2","0","0","24","1","-13","0","18","10","30","-9","0","-2","0","-22","8","5","16","-2","14","8","0","-2","20","0","2","0","0","2","6","24","0","-16","22","-6","0","0","12","-16","-16","1","10","12","0","6","-40","0","-4","0","-2","-6","0","-4","-22","-9","6","0","0","8","8","4","0","-20","0","-8","-2","-20","2","0","18","12","0","10","8","-4","-18","0","45","10","11","-8","0","-8","-12","-4","6","0","24","-8","36","0","0","-10","-16","-4","-28","0","16","-10","-20","-1","0","-6","4","-18","10","0","8","9","0","22","0","0","8","18","-32","-5","-18","4","-16","-14","0","32","0","2","-10","0","-6","-2","-48","-4","0","-2","1","0","-12","0","-10","16","-10","6","10","-2","32","-12","0","0","12","-1","34","32","0","0","-32","-10","-10","0","9","4","20","2","0","2","22","4","-6","-5","0","-6","2","-20","0","-8","-42","8","2","0","24","0","-12","8","0","-18","36","-2","-16","0","-24","-12","0","16","-40","-8","6","10","32","0","4","-2","16","-11","0","-1","-6","8","-12","0","12","-6","-16","-16","0","8","8","0","28","0","6","-20","6","4","0","0","9","-16","-2","0","40","1","-8","-6","0","-4","0","-8","20","0","42","8","12","0","20","-22","-16","0","-7","0","-12","32","-12","-10","0","-4","4","18","0","0","-22","-10","-10","-2","0","8","-12","6","8","0","64","4","-64","-20","0","-1","-28","8","-8","0","0","10","12","10","0","12","4","2","30","0","-16","0","10","24","20","1","2","-13","6","0","0","18","0","10","0","30","-12","-9","64","0","-22","-2","18","0","0","-22","-18","8","36","5","22","16","-4","-2","0","14","0","8","-32","0","20","-2","-18","20","0","0","-22","2","28","0","4","0","40","2","25","6","0","24","4","0","2","-16","-16","22","0","-6","-18","0","2","0","34","12","-28","-16","0","-16","-18","1","0","10","-32","12","-14","0","0","6","10","-40","28","0","-20","-4","-4","0","0","-2","-32","-6","-2","0","0","-4","14","-22","5","-9","32","6","-72","0","20","0","4","8","0","8","-8","4","-12","0","-28","-20","0","0","0","-8","-12","-2","18","-20","-28","2","-16","0","0","18","-56","12","-8","0","-16","10","-32","8","0","-4","-10","-18","14","0","-8","45","2","10","-40","11","-14","-8","1","0","-8","-8","-46","-12","0","-4","0","6","4","0","16","24","-36","-8","0","36","0","0","-48","0","-14","-10","20","-16","0","-4","20","-28","0","0","14","16","0","-10","0","-20","24","-1","30","0","6","-6","-48","4","-40","-18","8","10","48","0","0","8","-8","9","0","0","4","22","22","0","-24","0","-16","8","0","18","14","-32","20","-5","10","-18","0","4","0","-16","-18","-14","18","0","-20","32","10","0","0","2","32","-10","-8","0","34","-6","-34","-2","0","-48","12","-4","-36","0","20","-2","-18","1","0","0","-8","-12","-42","0","35","-10","-10","16","0","-10","-44","6","-12","10","8","-2","-4","32","0","-12","6","0","-44","0","-24","12","6","-1","0","34","13","32","0","0","8","0","-18","-32","0","-10","8","-10","-30","0","26","9","44","4","0","20","-52","2","-64","0","0","2","-80","22","0","4","-8","-6","64","-5","-12","0","-16","-6","0","2","-12","-20","-14","0","50","-8","0","-42","0","8","0","2","-26","0","-20","24","-4","0","10","-12","-2","8","-38","0","72","-18","0","36","0","-2","58","-16","-6","0","-28","-24","-24","-12","0","0","12","16","-20","-40","-22","-8","58","6","0","10","0","32","24","0","33","4","-12","-2","0","16","-22","-11","16","0","-40","-1","-4","-6","-10","8","30","-12","0","0","0","12","-36","-6","0","-16","40","-16","-16","0","38","8","4","8","0","0","-2","28","2","0"],"lmfdb":"agrees","curve":{"cremona":"834d1","lmfdb":"834.f","ainvs":[1,1,1,-8,5],"rank":0,"torsion":2},"space":"834.2.a","level":834,"weight":2,"T":[[5,1],[7,3],[17,5],[19,7],[23,9]],"status":"proven","derived":{"al":[[2,-1],[3,1],[139,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/834.2.a.f"}