{"label":"473.2.a.a","letter":"a","dim":1,"charpoly":["1","1"],"traces":["1","-2","1","2","-1","-2","0","0","-2","2","-1","2","-2","0","-1","-4","6","4","-8","-2","0","2","-1","0","-4","4","-5","0","6","2","-1","8","-1","-12","0","-4","-3","16","-2","0","-4","0","-1","-2","2","2","-8","-4","-7","8","6","-4","-14","10","1","0","-8","-12","9","-2","-4","2","0","-8","2","2","9","12","-1","0","-13","0","-16","6","-4","-16","0","4","16","4","1","8","-6","0","-6","2","6","0","-7","-4","0","-2","-1","16","8","8","13","14","2","-8","12","-12","-8","0","0","28","0","-10","16","-2","-3","0","19","16","1","12","4","-18","0","0","1","8","-4","-2","9","0","-8","0","-1","-4","20","-2","0","-18","5","0","3","2","10","0","-8","26","2","8","-6","32","-7","-6","12","8","-8","0","-12","0","1","-4","11","-32","-14","-8","0","-2","-16","-8","1","12","0","0","-9","12","16","-2","-24","-12","0","4","9","14","-1","4","19","0","-4","0","3","2","-6","-16","0","-16","-25","-8","6","-26","2","-14","2","-4","-16","0","9","-24","0","12","4","16","2","8","8","0","-22","-28","-13","0","1","0","0","-32","-16","2","-12","6","-7","0","8","-38","8","-16","3","-2","0","0","12","-8","8","18","16","0","10","4","-6","-2","16","-8","7","8","16","0","-6","-18","13","0","1","16","-6","16","18","2","0","4","-12","-40","-6","0","14","0","-7","18","2","-10","-22","-24","0","-6","4","-2","-8","-20","2","0","28","16","0","-26","8","-4","0","-16","19","12","13","-32","-26","14","-9","0","5","-24","2","-8","0","16","12","32","4","24","-10","0","-8","-2","0","0","1","-22","0","32","-3","28","-6","8","0","0","-48","2","8","32","16","0","0","-2","1","-12","6","0","-9","0","24","18","19","-12","1","-32","0","0","1","48","-14","12","-34","0","10","-8","-1","-18","13","-14","0","2","-2","0","45","-38","1","0","16","8","-5","4","8","-6","0","-2","-4","12","9","0","-12","0","23","16","-8","50","-19","0","0","-12","2","26","-21","-4","-6","0","20","-4","-16","4","18","32","0","16","-22","-18","2","24","-1","0","3","0","-30","-8","3","-16","0","-4","6","-16","10","-16","20","0","-10","44","16","0","-24","26","0","0","2","-2","-12","20","-21","0","-6","32","8","32","20","0","14","24","29","-6","7","14","12","0","-3","-16","4","38","-8","-16","0","0","0","-6","-30","2","-18","0","-29","-24","1","-24","-33","8","0","-16","11","0","1","-32","32","0","28","-20","-6","-8","6","12","0","2","-13","-32","-33","0","-16","-14","-18","-8","36","-32","-2","4","0","12","4","18","0","-26","6","0","-12","-2","-9","-16","39","12","0","-32","40","-36","8","-2","8","0","-24","0","23","24","-30","40","0","12","-6","4","-22","-28","-18","0","8","14","0","0","-1","-4","7","10","40","44","19","48","-16","0","-26","6","8","-8","-48","0","0","16","3","20","-24","-4","2","0","-6","-56","10","-16","-19","0","0","0","10","-16","10","4","-25","0","4","16","-17","-38","6","-12","0","-26","14","0","-4","52","-16","-14","8","18","2","12","26","-10","0","24","-16","-4","8","0","20","0","-18","-16","-1","-24","8","-64","0","-8","16","-24","12","20","4","0","-42","16","-21","2","5","0","0","8","11","-2","8","22","-18","0","-15","0","-22","6","8","-28","14","12","26","0","9","0","-27","0","1","96","-9","0","-9","-16","0","-32","13","-32","-20","16","32","0","20","2","25","-2","-12","0","0","-12","-6","0","-7","18","4","0","2","-48","20","-18","28","-38","0","0","8","-2","48","32","-3","0","3","4","28","-2","35","-48","0","28","-10","0","-24","68","12","0","22","-20","24","8","8","2","0","18","-1","-26","-32","0","1","0","-2","-2","10","4","-1","-8","0","-90","-6","38","-24","-2","-35","0","13","-32","-6","-8","-22","10","7","-8","-9","-16","-46","6","16","0","-6","0","-12","8","12","-12","0","-18","15","32","13","24","8","0","22","-46","1","0","20","16","0","-50","12","38","-18","16","24","0","18","12","-34","-4","4","0","0","42","32","4","13","12","-30","28","-11","-40","22","4","-6","32","0","0","8","-36","14","-32","-39","0","-48","-32","14","44","16","18","0","-4","2","0","20","2","-2","0","-22","-6","16","-24","8","60","0","8","-44","-6","11","0","4","0","-12","4","-25","-12","-8","16","-42","-20","0","16","5","-40","-43","0","7","20","28","-44","9","-32","0","56","0","48","3","-26","-2","0","-16","0","-4","-4","-29","2","0","24","-24","-40","24","42","19","0","-16","12","-18","0","-26","-16","0","-32","14","-40","-26","-4","-23","-28","-20","-24","-9","-58","2","0","0","-14","-1","-14","64","-24","1","0","2","6","-6","16","-84","-8","0","0","-19","16","-28","16","-24","0","8","32","6","0","4","6","0","60","-40","0","-10","36","26","0","12","58","16","48","-42","-2","56","24","0","66","6","0","-10","0","1","16","6","-22","4","-36","0","-2","21","32","32","-64","-3","0","-14","-56","25","20","-6","12","0","8","-30","-12","0","-12","-6","0","28","0","-48","26","-1","32","0","66","8","16","-23","32","7","14","-32","36","-3","0","-2","-72","0","32","1","4","-28","-8","1","0","16","-12","-2","-8","15","0"],"lmfdb":"agrees","curve":{"cremona":"473a1","lmfdb":"473.a","ainvs":[0,1,1,-1006,11952],"rank":1,"torsion":1},"space":"473.2.a","level":473,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[11,1],[43,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/473.2.a.a"}