{"label":"405.2.a.e","letter":"e","dim":1,"charpoly":["34","1"],"traces":["1","1","0","-1","-1","0","-3","-3","0","-1","-2","0","-2","-3","0","-1","4","0","-8","1","0","-2","3","0","1","-2","0","3","-1","0","0","5","0","4","3","0","-4","-8","0","3","5","0","-8","2","0","3","7","0","2","1","0","2","-2","0","2","9","0","-1","-14","0","7","0","0","7","2","0","-3","-4","0","3","2","0","4","-4","0","8","6","0","-6","1","0","5","9","0","-4","-8","0","6","-15","0","6","-3","0","7","8","0","2","2","0","-1","-18","0","8","6","0","-2","3","0","5","2","0","3","-8","0","-3","1","0","-14","-12","0","-7","7","0","0","-1","0","-5","-3","0","2","-6","0","24","-3","0","-12","12","0","-16","-3","0","2","4","0","1","4","0","4","17","0","-2","24","0","6","0","0","14","-6","0","-5","-9","0","-4","-5","0","9","-9","0","-9","-4","0","8","0","0","-3","2","0","-15","-2","0","-7","6","0","-9","4","0","-8","-7","0","8","8","0","-10","2","0","-2","-12","0","4","-3","0","-18","3","0","-5","8","0","2","16","0","-22","2","0","3","8","0","0","5","0","-2","-8","0","-19","-15","0","-8","-4","0","15","-3","0","3","24","0","-7","14","0","-12","-8","0","-11","-7","0","-7","-2","0","16","0","0","-1","0","0","-6","-5","0","-17","-6","0","12","-2","0","-6","-16","0","2","24","0","3","25","0","-8","-4","0","12","-2","0","12","-16","0","-9","-15","0","21","-2","0","4","-15","0","-1","1","0","-4","12","0","14","12","0","17","-6","0","24","-2","0","8","-7","0","7","-6","0","0","0","0","14","14","0","6","-34","0","2","-7","0","-9","-32","0","-2","-4","0","-15","-21","0","-6","-9","0","-9","3","0","-8","-9","0","4","0","0","15","24","0","0","4","0","-5","-3","0","-10","24","0","-2","15","0","-2","24","0","45","-7","0","-6","-4","0","24","-3","0","4","6","0","10","-8","0","-21","2","0","-26","-8","0","8","36","0","-6","-10","0","-2","33","0","12","-6","0","-12","6","0","34","4","0","-1","-18","0","0","18","0","3","8","0","14","-5","0","-8","42","0","-9","-10","0","16","26","0","34","-22","0","6","4","0","-21","-3","0","8","-30","0","28","0","0","-5","-24","0","28","-6","0","-8","15","0","15","-19","0","-21","-26","0","-10","8","0","-4","-6","0","-20","15","0","3","9","0","-36","1","0","24","20","0","9","-7","0","42","16","0","-8","12","0","-8","-18","0","8","-11","0","7","-2","0","-16","-21","0","-2","20","0","-4","16","0","0","-6","0","-32","1","0","0","-7","0","18","-6","0","5","43","0","-12","-11","0","-6","-8","0","-14","12","0","-6","11","0","-29","6","0","-16","0","0","-14","2","0","-24","-10","0","-3","9","0","25","-4","0","-39","-8","0","20","-5","0","-29","-12","0","-2","8","0","18","12","0","16","-30","0","16","-3","0","-15","-21","0","8","21","0","-6","-6","0","32","-4","0","-15","3","0","-10","-1","0","-1","-27","0","4","-12","0","12","-33","0","0","14","0","4","20","0","12","-17","0","-6","-10","0","2","24","0","2","7","0","-41","-40","0","-7","-14","0","-44","7","0","-18","-36","0","-4","0","0","0","45","0","1","14","0","-14","-16","0","16","18","0","-34","5","0","-4","2","0","3","33","0","-9","9","0","-32","-17","0","28","-2","0","4","-4","0","6","-5","0","-21","-8","0","-14","-6","0","-27","-24","0","-3","9","0","3","-14","0","6","-8","0","9","-42","0","-6","12","0","0","12","0","-12","15","0","8","4","0","-14","0","0","4","16","0","20","-5","0","3","23","0","32","-14","0","24","54","0","-41","-2","0","45","0","0","-4","2","0","24","6","0","-24","45","0","7","-1","0","23","-18","0","-4","-32","0","-34","24","0","15","6","0","-2","-4","0","6","-29","0","-17","10","0","8","-9","0","10","-7","0","2","2","0","-26","-26","0","-24","15","0","-15","-8","0","36","28","0","5","-6","0","10","-24","0","0","-6","0","33","-40","0","-4","12","0","-2","-14","0","28","12","0","6","24","0","-14","34","0","-4","26","0","28","5","0","-18","-8","0","9","0","0","54","26","0","-42","-3","0","8","4","0","64","14","0","5","15","0","53","-24","0","42","37","0","-3","-9","0","-14","8","0","9","-16","0","26","-40","0","-28","34","0","22","9","0","21","2","0","4","-12","0","-54","-21","0","-9","10","0","22","-8","0","-30","17","0","0","28","0","0","12","0","6","-15","0","-24","3","0","-18","28","0","-2","-35","0","23","8","0","15","36","0","15","15","0","19","-56","0","2","9","0","-26","0","0","-8","-10","0","24","7","0","-51","4","0","-6","-50","0","-18","-20","0","-15","18","0","10","9","0","9","-4","0","-4","-36","0","-5","14","0","-16","-24","0","20","8","0","0","9","0","7","-7","0","15","14","0","16","57","0","-8","-8","0","36","-26","0","-8","8","0","-18","-36","0","-31","8","0","11","10","0","41","21","0","-2","-36","0","48","-16","0","-7","-38","0","30","2","0","20","3","0","12","-4","0","-16","-24","0","26","0","0","-6","-4","0","-18","-32","0","3"],"lmfdb":"agrees","curve":{"cremona":"405c1","lmfdb":"405.e","ainvs":[1,-1,0,0,1],"rank":1,"torsion":1},"space":"405.2.a","level":405,"weight":2,"T":[[2,1],[7,2],[11,3],[13,4],[17,5],[19,6],[23,7],[29,8]],"status":"proven","derived":{"al":[[3,null],[5,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/405.2.a.e"}