{"label":"575.2.a.b","letter":"b","dim":1,"charpoly":["2","1"],"traces":["1","-2","0","2","0","0","-1","0","-3","0","2","0","2","2","0","-4","-3","6","-2","0","0","-4","-1","0","0","-4","0","-2","7","0","-5","8","0","6","0","-6","-11","4","0","0","1","0","0","4","0","2","0","0","-6","0","0","4","-11","0","0","0","0","-14","-13","0","-8","10","3","-8","0","0","-5","-6","0","0","5","0","-6","22","0","-4","-2","0","-12","0","9","-2","-9","0","0","0","0","0","4","0","-2","-2","0","0","0","0","14","12","-6","0","-5","0","8","0","0","22","15","0","-10","0","0","4","9","0","0","14","-6","26","3","0","-7","16","0","-10","0","-6","4","0","0","0","12","0","2","10","0","0","-6","0","-19","0","0","-10","4","12","0","12","0","-22","16","0","12","0","9","4","0","0","-17","24","0","0","1","-18","18","2","0","18","24","0","-9","0","6","0","-24","0","0","-8","0","-8","24","0","16","4","0","0","0","0","-6","0","0","0","0","0","-16","-28","0","-12","2","12","26","0","0","10","-7","0","0","-16","3","-8","-4","0","15","-22","0","-30","0","0","5","20","0","0","-6","0","-14","-8","0","-18","-4","0","8","0","0","0","-4","12","0","-26","0","-6","-29","0","-18","14","0","-16","0","0","-4","0","0","0","-26","6","-2","-8","0","16","8","0","11","0","-21","-24","-19","0","0","-4","0","-10","21","0","13","12","0","12","0","0","-6","38","15","0","-6","0","-11","10","0","-8","-1","-24","-8","0","0","-12","-9","0","0","0","0","-32","-2","0","0","-24","0","8","0","-18","26","-4","0","0","-8","0","3","34","0","-24","-12","0","14","0","0","-2","6","18","0","-36","0","0","0","0","11","-18","33","-48","0","0","-10","18","0","0","-10","-12","13","0","0","48","12","0","11","0","0","16","8","0","0","8","0","-48","-12","0","-15","-32","0","-4","0","0","13","4","-3","0","11","0","34","12","0","0","14","0","12","0","0","0","-11","0","0","32","0","28","10","0","3","0","0","-4","0","-12","-4","-52","0","0","2","0","-10","-10","0","14","-22","0","-11","0","0","16","13","-6","0","16","0","8","-18","0","-2","-30","0","0","0","0","8","30","0","0","28","0","1","-10","0","-20","2","0","8","0","18","12","32","0","0","28","0","8","-21","0","2","18","0","8","0","0","-25","-16","0","0","-2","0","10","-28","0","8","-33","-12","5","0","0","0","0","0","0","6","33","58","12","0","-22","36","0","-14","0","0","28","0","0","0","9","0","-21","8","0","20","-5","0","1","0","0","52","33","0","0","4","0","8","18","0","6","-32","0","-16","0","0","0","-22","0","0","-42","42","4","24","0","38","15","0","1","0","39","4","2","0","0","0","0","-42","-12","0","-26","-26","0","-24","0","0","-24","-12","24","0","-14","0","12","12","0","-38","-11","-30","0","0","0","12","-31","0","0","22","-9","0","-6","0","-16","8","0","2","0","24","-20","16","0","0","9","0","-22","0","0","18","-2","0","10","0","0","44","4","0","0","32","0","4","-24","0","-21","0","15","24","0","0","-32","-16","0","0","0","18","26","-52","0","0","-13","0","36","0","0","16","-4","0","0","-6","0","-34","33","0","40","0","0","24","0","0","-12","-28","-15","0","14","0","-25","2","0","-12","50","0","-26","0","0","36","-18","0","0","-4","18","0","-30","0","-14","-22","0","0","0","-66","-7","48","0","0","-16","0","-28","20","0","-18","27","0","-14","0","0","20","28","12","0","-26","0","0","-22","0","-44","-48","6","-24","0","0","-3","-22","0","0","0","0","22","-16","0","-16","5","0","12","0","36","0","5","0","0","48","0","24","-37","0","-8","30","0","32","0","0","-19","0","-27","0","0","0","-11","-26","0","-8","-10","6","23","0","0","-22","-16","0","0","-68","27","-12","-15","0","-22","0","0","-28","0","0","-37","-24","0","0","45","0","10","0","0","22","-26","0","32","0","0","-32","10","0","0","0","0","-20","-2","0","10","-6","0","24","0","0","7","4","0","0","-9","0","-16","8","0","52","-53","0","0","0","-12","-4","-12","0","0","20","0","0","15","0","15","-14","0","44","0","0","0","22","6","0","10","0","16","0","0","-26","29","6","45","0","0","-16","18","0","0","-8","0","36","54","0","20","4","0","30","0","0","7","44","0","0","11","0","14","-16","0","0","-22","0","-5","0","0","-56","18","0","0","-2","0","10","-24","0","-10","0","-42","-4","0","0","2","-16","0","0","-32","-36","56","-12","0","-64","26","0","-4","0","18","-28","0","0","0","0","0","42","-35","0","33","-4","0","0","0","0","-5","-8","15","0","-40","0","-18","50","0","16","-12","0","-4","0","0","4","10","0","0","-20","-24","56","27","0","12","-8","0","66","0","0","22","-10","0","0","-24","0","-1","52","0","0","52","0","-12","0","0","0","-26","-66","0","-58","0","-24","6","0","-6","44","-45","-36","0","0","-44","0","0","0","12","0","19","-56","0","32","39","0","8","0","30","-18","-9","0","0","42","0","-8","0","0","-1","-40","0","10","0","0","40","-2","0","0"],"lmfdb":"agrees","curve":{"cremona":"575b1","lmfdb":"575.b","ainvs":[0,0,1,175,-1344],"rank":1,"torsion":1},"space":"575.2.a","level":575,"weight":2,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[5,null],[23,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/575.2.a.b"}