{"label":"470.2.a.f","letter":"f","dim":1,"charpoly":["26","1"],"traces":["1","1","1","1","-1","1","5","1","-2","-1","-3","1","5","5","-1","1","0","-2","-7","-1","5","-3","6","1","1","5","-5","5","-6","-1","5","1","-3","0","-5","-2","8","-7","5","-1","-6","5","-10","-3","2","6","-1","1","18","1","0","5","-6","-5","3","5","-7","-6","-12","-1","-1","5","-10","1","-5","-3","2","0","6","-5","0","-2","-13","8","1","-7","-15","5","-16","-1","1","-6","9","5","0","-10","-6","-3","6","2","25","6","5","-1","7","1","2","18","6","1","3","0","8","5","-5","-6","18","-5","-16","3","8","5","-6","-7","-6","-6","-10","-12","0","-1","-2","-1","-6","5","-1","-10","20","1","-10","-5","0","-3","-35","2","5","0","-15","6","-1","-5","-1","0","-15","-2","6","-13","18","8","6","1","-1","-7","0","-15","-5","5","-4","-16","-6","-1","30","1","14","-6","3","9","12","5","12","0","14","-10","6","-6","5","-3","-12","6","-12","2","-4","25","-1","6","-8","5","0","-1","-25","7","24","1","5","2","-5","18","0","6","-4","1","2","3","-30","0","6","8","-12","5","21","-5","8","-6","0","18","10","-5","25","-16","-13","3","0","8","26","5","-2","-6","0","-7","14","-6","-15","-6","-9","-10","1","-12","-16","0","24","-1","-1","-2","16","-1","-18","-6","-35","5","9","-1","18","-10","-18","20","0","1","3","-10","40","-5","12","0","-9","-3","6","-35","6","2","21","5","-10","0","25","-15","-3","6","26","-1","-10","-5","0","-1","5","0","7","-15","-30","-2","-17","6","2","-13","9","18","12","8","15","6","30","1","-50","-1","3","-7","1","0","-7","-15","8","-5","-3","5","11","-4","10","-16","-3","-6","18","-1","18","30","0","1","5","14","-16","-6","-5","3","-10","9","-16","12","-2","5","-4","12","-6","0","-15","14","55","-10","-6","6","-24","-6","14","5","-25","-3","6","-12","0","6","0","-12","-15","2","30","-4","-2","25","13","-1","8","6","12","-8","-30","5","-34","0","-1","-1","-30","-25","-28","7","20","24","33","1","15","5","20","2","-18","-5","0","18","0","0","16","6","20","-4","-35","1","-15","2","25","3","-1","-30","-24","0","-16","6","-15","8","-60","-12","-9","5","-1","21","-15","-5","-4","8","2","-6","0","0","-5","18","-15","10","-24","-5","11","25","6","-16","-42","-13","-10","3","-36","0","-6","8","-6","26","6","5","-18","-2","18","-6","-1","0","-25","-7","-28","14","0","-6","-12","-15","2","-6","-5","-9","0","-10","10","1","-4","-12","30","-16","-7","0","12","24","24","-1","40","-1","30","-2","-2","16","-13","-1","14","-18","6","-6","0","-35","-6","5","0","9","32","-1","12","18","12","-10","-3","-18","12","20","0","0","-65","1","35","3","-8","-10","3","40","6","-5","-39","12","-1","0","5","-9","0","-3","13","6","24","-35","-30","6","-18","2","-12","21","-54","5","-37","-10","-4","0","16","25","38","-15","2","-3","42","6","-80","26","-8","-1","30","-10","-50","-5","0","0","-12","-1","6","5","5","0","-24","7","-40","-15","24","-30","6","-2","14","-17","5","6","45","2","18","-13","10","9","24","18","-35","12","0","8","21","15","0","6","-4","30","15","1","17","-50","-4","-1","2","3","2","-7","-30","1","-5","0","26","-7","6","-15","-36","8","2","-5","-30","-3","30","5","1","11","21","-4","0","10","-31","-16","8","-3","-20","-6","90","18","0","-1","48","18","-4","30","10","0","-45","1","36","5","25","14","30","-16","0","-6","26","-5","-12","3","-19","-10","0","9","35","-16","-36","12","26","-2","3","5","-34","-4","-5","12","-45","-6","10","0","0","-15","-24","14","15","55","14","-10","-30","-6","8","6","30","-24","1","-6","0","14","-9","5","-6","-25","-56","-3","1","6","15","-12","29","0","32","6","30","0","15","-12","24","-15","24","2","40","30","-1","-4","-6","-2","-28","25","13","13","0","-1","-4","8","-18","6","-6","12","-34","-8","-35","-30","36","5","-6","-34","-18","0","90","-1","35","-1","18","-30","1","-25","5","-28","-18","7","21","20","-80","24","0","33","-60","1","11","15","3","5","24","20","5","2","40","-18","42","-5","0","0","30","18","4","0","38","0","-9","16","-30","6","-5","20","6","-4","-21","-35","0","1","-12","-15","39","2","-30","25","21","3","-12","-1","20","-30","-10","-24","-14","0","70","-16","-50","6","-54","-15","29","8","-3","-60","-9","-12","-4","-9","26","5","0","-1","-12","21","-25","-15","15","-5","7","-4","0","8","-12","2","-10","-6","5","0","48","0","14","-5","-14","18","30","-15","-4","10","-30","-24","21","-5","-6","11","-17","25","48","6","10","-16","-4","-42","-5","-13","-22","-10","9","3","-24","-36","-13","0","12","-6","42","8","100","-6","-3","26","7","6","12","5","30","-18","-30","-2","0","18","-50","-6","4","-1","5","0","-6","-25","42","-7","-27","-28","1","14","0","0","29","-6","-7","-12","0","-15","8","2","-16","-6","-27","-5","-126","-9","-3","0","0","-10","38","10","11","1","-39","-4","-36","-12","25","30","-33","-16","-65","-7","-3","0","18","12","-24","24","18","24","-75","-1","-6","40","-36","-1","-5","30","17","-2","0","-2","45","16","-5","-13","5","-1","-42","14","-18","-18","32","6","42","-6","0","0","-5","-35","-60","-6","-22","5","-10","0","4","9","-46","32","-40","-1"],"lmfdb":"agrees","curve":{"cremona":"470d1","lmfdb":"470.f","ainvs":[1,0,0,-36,80],"rank":0,"torsion":3},"space":"470.2.a","level":470,"weight":2,"T":[[3,1],[7,2],[11,3],[13,4],[17,5],[19,6],[23,7],[29,8]],"status":"proven","derived":{"al":[[2,-1],[5,1],[47,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/470.2.a.f"}