{"label":"33.2.a.a","letter":"a","dim":1,"charpoly":["5","1"],"traces":["1","1","-1","-1","-2","-1","4","-3","1","-2","1","1","-2","4","2","-1","-2","1","0","2","-4","1","8","3","-1","-2","-1","-4","-6","2","-8","5","-1","-2","-8","-1","6","0","2","6","-2","-4","0","-1","-2","8","8","1","9","-1","2","2","6","-1","-2","-12","0","-6","-4","-2","6","-8","4","7","4","-1","-4","2","-8","-8","0","-3","-14","6","1","0","4","2","-4","2","1","-2","12","4","4","0","6","-3","-6","-2","-8","-8","8","8","0","-5","2","9","1","1","2","2","8","6","8","6","-12","1","-2","-2","-6","-4","-6","0","-16","6","-2","-4","-8","-6","1","6","2","8","12","4","-4","-3","0","4","-12","1","0","-4","2","6","2","-8","-8","8","-8","0","-2","-1","12","-14","-9","-6","-22","1","20","0","-2","4","16","-2","14","-4","-6","-10","32","1","4","2","2","12","0","12","-9","4","0","0","-6","6","-4","-1","4","-6","12","2","22","-8","-6","-24","-12","8","-2","-8","-4","0","8","-7","-14","2","-4","-9","-14","1","0","3","4","2","-24","-2","4","8","8","2","0","8","0","-6","0","-12","0","3","-32","-2","14","2","4","-6","16","20","-1","-6","12","0","6","-16","-4","18","30","-2","-16","4","4","-8","24","-2","10","1","-1","-6","-18","2","0","24","-12","12","4","-4","8","-4","-4","-17","-14","0","24","-4","-6","-12","-16","3","-12","0","6","4","-2","2","20","2","8","2","-1","8","-26","-8","-8","24","-18","-8","16","0","0","-2","-8","5","-13","12","-2","14","-6","-9","8","-18","-1","-22","-16","-1","0","20","-2","0","-12","-2","32","-4","-8","16","-24","-6","-22","14","-8","4","22","-6","-6","-14","12","32","0","-1","2","4","2","6","32","2","-20","-12","6","0","8","4","-22","-9","6","-4","-8","0","8","0","16","-6","4","-6","6","-4","2","5","18","4","0","6","8","12","-8","6","-19","22","-1","8","28","-6","-32","-8","-2","-12","24","-8","-2","-2","-12","-24","12","-4","28","0","4","8","-16","3","-8","-14","0","-2","-18","-4","-16","-27","12","-14","8","-1","-2","0","0","1","26","4","16","-2","-2","-24","6","-6","18","4","-2","-8","-16","8","-24","-10","8","0","-4","-8","-26","0","8","-18","2","0","24","12","2","0","-24","1","34","-32","-12","2","0","14","-20","6","9","4","28","6","12","16","22","28","2","-1","-2","6","-20","12","16","0","18","6","2","16","-30","-4","16","6","-16","30","-12","2","-16","-16","-14","12","0","4","0","8","6","24","8","10","-12","10","-32","-1","-4","-1","-16","-18","-4","-18","4","-2","12","0","-2","8","0","-12","-4","-12","0","4","-32","-12","-4","8","9","4","30","-4","-56","-11","0","-14","-16","0","8","24","6","-12","-30","-6","-16","12","4","-16","16","1","41","-12","-4","0","4","6","24","12","-12","-2","9","-2","46","20","-22","-10","4","8","8","-2","6","-1","0","24","-16","-26","12","8","-14","-8","0","8","2","-18","-44","8","12","16","4","0","-42","0","-16","2","-8","-8","-8","7","-30","-13","14","-12","48","-2","6","42","4","-6","28","9","0","8","14","-6","38","-1","16","22","0","-16","-8","-3","26","0","-4","-20","-2","-2","-4","0","24","-12","-16","2","14","32","-4","-12","-30","-8","44","-16","-8","-24","-24","-2","-19","-22","0","-14","-12","-8","16","12","0","22","8","6","-18","-6","0","6","18","12","20","-32","0","0","8","-3","-4","2","32","-4","-2","2","24","2","-14","32","4","-2","-26","-20","-4","-36","0","6","-48","0","-16","8","6","-20","-46","-22","1","9","18","6","8","-12","-12","-8","20","0","-4","8","-6","0","-12","16","-28","6","4","4","16","-18","4","6","-30","4","50","2","0","7","16","18","8","-4","38","0","-4","18","-64","8","4","-12","-24","-8","24","2","32","-19","-10","-22","6","-1","0","24","1","28","0","6","30","-32","18","40","-4","-2","8","12","0","24","40","-24","44","-2","12","2","-48","-12","-8","-8","-4","12","-40","4","-10","28","-8","0","6","4","-8","-8","4","-16","8","17","2","-8","14","14","6","0","8","-6","-24","-18","0","4","0","-16","6","-9","-28","12","-8","14","16","8","-24","-3","-12","-2","12","0","-10","0","-16","-5","-6","26","-14","-4","-64","16","2","-6","54","-2","-56","24","-20","6","-8","-2","0","18","-8","-4","-14","-2","24","-24","1","-16","20","-8","-2","-24","26","-14","-18","8","0","0","8","-4","-56","-24","7","-26","18","0","18","8","4","-6","-16","2","48","0","-34","24","0","36","-10","2","-36","0","8","-24","48","-5","12","34","13","32","-4","-12","8","6","2","0","48","-14","6","-20","6","2","26","9","-20","-4","-8","28","8","18","-16","12","1","-16","0","22","-24","-12","16","2","48","1","-12","-2","0","18","-44","-20","12","-12","2","16","24","0","12","18","12","-6","-48","2","-20","48","-32","-30","0","4","-6","16","8","-30","-6","-16","0","-30","24","-12","4","6","26","-16","22","16","-54","-14","-16","4","8","0","12","-4","28","0","-22","24","22","6","-16","-24","6","8","8","14","33","-12","-12","-10","28","-32","4","-3","0","-4","-52","1","-32","-16","-2","-6","-6","-4","-6","18","-2","4","24","-6","28","12","-32","0","0","-2","40","-40","20","0","0","12","14","-4","-6","-36"],"lmfdb":"agrees","curve":{"cremona":"33a1","lmfdb":"33.a","ainvs":[1,1,0,-11,0],"rank":0,"torsion":4},"space":"33.2.a","level":33,"weight":2,"T":[[2,1],[5,3]],"status":"proven","derived":{"al":[[3,1],[11,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/33.2.a.a"}