{"label":"234.2.a.e","letter":"e","dim":1,"charpoly":["0","1"],"traces":["1","1","0","1","3","0","-1","1","0","3","-6","0","1","-1","0","1","3","0","2","3","0","-6","0","0","4","1","0","-1","-6","0","-4","1","0","3","-3","0","-7","2","0","3","0","0","-1","-6","0","0","-3","0","-6","4","0","1","0","0","-18","-1","0","-6","6","0","8","-4","0","1","3","0","14","3","0","-3","3","0","2","-7","0","2","6","0","8","3","0","0","-12","0","9","-1","0","-6","6","0","-1","0","0","-3","6","0","-10","-6","0","4","12","0","-4","1","0","0","-12","0","-7","-18","0","-1","6","0","0","-6","0","6","-3","0","25","8","0","-4","-3","0","20","1","0","3","21","0","-2","14","0","3","0","0","-13","-3","0","3","-6","0","-18","2","0","-7","6","0","17","2","0","6","-12","0","14","8","0","3","0","0","-16","0","0","-12","0","0","1","9","0","-1","0","0","-4","-6","0","6","-3","0","20","-1","0","0","-21","0","-18","-3","0","6","18","0","-4","-10","0","-6","-3","0","2","4","0","12","6","0","0","-4","0","1","-12","0","-13","0","0","-12","-3","0","4","-7","0","-18","3","0","-19","-1","0","6","0","0","-13","0","0","-6","27","0","-9","6","0","-3","-15","0","-10","25","0","8","-18","0","2","-4","0","-3","-24","0","0","20","0","1","-9","0","7","3","0","21","12","0","0","-2","0","14","-24","0","11","3","0","0","-24","0","-28","-13","0","-3","6","0","-4","3","0","-6","0","0","-8","-18","0","2","-21","0","18","-7","0","6","0","0","1","17","0","2","24","0","2","6","0","-12","30","0","-1","14","0","8","6","0","36","3","0","0","6","0","4","-16","0","0","3","0","8","-12","0","0","42","0","23","1","0","9","24","0","13","-1","0","0","-3","0","-19","-4","0","-6","-24","0","9","6","0","-3","0","0","-15","20","0","-1","6","0","26","0","0","-21","0","0","-4","-18","0","-3","-6","0","20","6","0","18","-21","0","18","-4","0","-10","6","0","0","-6","0","-3","24","0","-34","2","0","4","-36","0","-4","12","0","6","42","0","32","0","0","-4","-6","0","-36","1","0","-12","-9","0","17","-13","0","0","12","0","-8","-12","0","-3","33","0","-25","4","0","-7","0","0","26","-18","0","3","-21","0","18","-19","0","-1","-6","0","0","6","0","0","-3","0","-10","-13","0","0","-9","0","-40","-6","0","27","-36","0","-14","-9","0","6","6","0","8","-3","0","-15","21","0","-7","-10","0","25","-30","0","-16","8","0","-18","9","0","-18","2","0","-4","-3","0","-40","-3","0","-24","30","0","36","0","0","20","18","0","-2","1","0","-9","-12","0","18","7","0","3","9","0","20","21","0","12","-12","0","-23","0","0","-2","0","0","-36","14","0","-24","36","0","11","11","0","3","-21","0","17","0","0","-24","-12","0","-8","-28","0","-13","-3","0","-1","-3","0","6","-39","0","18","-4","0","3","-15","0","5","-6","0","0","0","0","38","-8","0","-18","12","0","0","2","0","-21","-24","0","-8","18","0","-7","-18","0","-9","6","0","0","-6","0","-19","1","0","17","75","0","14","2","0","24","-3","0","38","2","0","6","24","0","-28","-12","0","30","-6","0","-29","-1","0","14","-21","0","29","8","0","6","60","0","-6","36","0","3","18","0","14","0","0","6","6","0","-36","4","0","-16","0","0","63","0","0","3","36","0","-22","8","0","-12","-6","0","0","0","0","42","-48","0","-19","23","0","1","-48","0","10","9","0","24","-24","0","0","13","0","-1","0","0","8","0","0","-3","-39","0","0","-19","0","-4","0","0","-14","-6","0","-24","-12","0","26","9","0","6","0","0","-18","-3","0","0","-6","0","4","-15","0","20","-24","0","-10","-1","0","6","-3","0","23","26","0","0","-84","0","20","-21","0","0","9","0","18","-4","0","-18","12","0","-40","-3","0","-6","51","0","-16","20","0","6","6","0","7","18","0","-21","6","0","32","18","0","-4","39","0","-16","-10","0","6","0","0","-18","0","0","-6","42","0","-40","-3","0","24","-6","0","8","-34","0","2","42","0","-9","4","0","-36","-12","0","0","-4","0","12","33","0","20","6","0","42","-48","0","-2","32","0","0","3","0","14","-4","0","-6","-18","0","38","-36","0","1","-18","0","0","-12","0","-9","0","0","7","17","0","-13","3","0","-25","0","0","12","0","0","-37","-8","0","-12","42","0","-4","-3","0","33","45","0","0","-25","0","4","-48","0","14","-7","0","0","3","0","-13","26","0","-18","-21","0","29","3","0","-21","0","0","-20","18","0","-19","-6","0","-9","-1","0","-6","24","0","0","0","0","6","60","0","-37","0","0","-3","-30","0","72","-10","0","-13","-21","0","-16","0","0","-9","3","0","-28","-40","0","-6","-36","0","-12","27","0","-36","-54","0","-34","-14","0","-9","21","0","0","6","0","6","-6","0","2","8","0","-3","-15","0","54","-15","0","21","0","0","-15","-7","0","-10","-12","0","-31","25","0","-30","3","0","13","-16","0","8","54","0","-36","-18","0","9","-39","0","-9","-18","0","2","0","0","2","-4","0","-3","6","0","-46","-40","0","-3"],"lmfdb":"agrees","curve":{"cremona":"234e1","lmfdb":"234.e","ainvs":[1,-1,1,4,-7],"rank":0,"torsion":1},"space":"234.2.a","level":234,"weight":2,"T":[[5,1],[7,3]],"status":"proven","derived":{"al":[[2,-1],[3,null],[13,-1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/234.2.a.e"}