{"label":"470.2.a.b","letter":"b","dim":1,"charpoly":["22","1"],"traces":["1","-1","1","1","-1","-1","-1","-1","-2","1","-3","1","-5","1","-1","1","2","2","-7","-1","-1","3","8","-1","1","5","-5","-1","-2","1","-5","-1","-3","-2","1","-2","-4","7","-5","1","12","1","8","-3","2","-8","-1","1","-6","-1","2","-5","-4","5","3","1","-7","2","-10","-1","-11","5","2","1","5","3","-8","2","8","-1","0","2","3","4","1","-7","3","5","10","-1","1","-12","9","-1","-2","-8","-2","3","-18","-2","5","8","-5","1","7","-1","12","6","6","1","-7","-2","0","5","1","4","18","-5","12","-3","-4","-1","14","7","-8","-2","10","10","-2","1","-2","11","12","-5","-1","-2","-6","-1","8","-5","10","-3","7","8","5","-2","-11","-8","3","1","-1","0","15","-2","2","-3","-6","-4","-18","-1","13","7","-4","-3","5","-5","-24","-10","-4","1","-8","-1","6","12","3","-9","-8","1","12","2","14","8","4","2","-1","-3","-10","18","20","2","6","-5","-11","-8","4","5","-6","-1","5","-7","-20","1","-11","-12","5","-6","-12","-6","-20","-1","-8","7","2","2","-12","0","-16","-5","21","-1","-12","-4","0","-18","-8","5","5","-12","3","3","-10","4","-16","1","-2","-14","28","-7","-8","8","3","2","-9","-10","1","-10","10","2","-14","-1","-17","2","16","-11","6","-12","35","5","9","1","6","2","-24","6","-2","1","-5","-8","4","5","4","-10","9","3","4","-7","-18","-8","3","-5","22","2","5","11","-3","8","-12","-3","10","-1","-12","1","1","0","7","-15","-12","2","-13","-2","12","3","-29","6","10","4","15","18","-40","1","-8","-13","-7","-7","11","4","9","3","0","-5","27","5","-21","24","-2","10","-1","4","6","-1","18","8","-14","1","-5","-6","12","-12","1","-3","-14","9","8","8","8","-1","10","-12","14","-2","15","-14","13","-8","-8","-4","-12","-2","34","1","25","3","6","10","0","-18","-2","-20","11","-2","30","-6","-2","5","-3","11","-20","8","-24","-4","4","-5","-26","6","-1","1","10","-5","8","7","-6","20","-21","-1","-3","11","-16","12","-12","-5","16","6","10","12","-10","6","-22","20","7","1","21","8","25","-7","-1","-2","12","-2","-2","12","-11","0","10","16","-9","5","3","-21","-15","1","10","12","2","4","2","0","11","18","15","8","-16","-5","15","-5","2","12","-56","-3","4","-3","12","10","6","-4","18","16","-18","-1","-22","2","-36","14","13","-28","-5","7","16","8","-10","-8","10","-3","8","-2","5","9","18","10","8","-1","-24","10","-24","-10","-7","-2","8","14","26","1","20","17","-8","-2","-12","-16","-11","11","6","-6","2","12","-4","-35","-6","-5","0","-9","-28","-1","-8","-6","-42","-2","7","24","12","-6","-30","2","-3","-1","35","5","0","8","3","-4","4","-5","37","-4","-29","10","-1","-9","-10","-3","41","-4","20","7","-60","18","-18","8","20","-3","18","5","13","-22","6","-2","-12","-5","24","-11","22","3","14","-8","-10","12","4","3","34","-10","-40","1","-6","12","-12","-1","-14","-1","-1","0","-28","-7","-28","15","-20","12","8","-2","-42","13","-11","2","-9","-12","12","-3","-10","29","18","-6","35","-10","-12","-4","-7","-15","2","-18","-20","40","-23","-1","1","8","16","13","2","7","-14","7","2","-11","5","-4","8","-9","-12","-3","16","0","-6","5","-40","-27","18","-5","1","21","21","-24","-8","2","15","-10","-12","1","6","-4","30","-6","0","1","30","-18","16","-8","-8","14","-3","-1","30","5","5","6","8","-12","-10","12","-6","-1","-4","3","-13","14","-10","-9","-7","-8","-16","-8","-16","-8","33","1","-6","-10","-5","12","5","-14","-12","2","28","-15","24","14","11","-13","-8","8","20","8","-8","4","-6","12","-3","2","24","-34","-9","-1","-50","-25","28","-3","1","-6","7","-10","27","0","-20","18","-40","2","-15","20","-14","-11","-6","2","0","-30","-17","6","-2","2","-12","-5","13","3","16","-11","-12","20","6","-8","24","24","-30","4","35","-4","36","5","18","26","-18","-6","-18","1","-15","-1","6","-10","-13","5","7","-8","-24","-7","-55","6","-12","-20","4","21","50","1","23","3","-5","-11","0","16","-5","-12","4","12","-84","5","0","-16","10","-6","24","-10","46","-12","9","10","-14","-6","55","22","4","-20","41","-7","-2","-1","36","-21","-9","-8","8","-25","3","7","12","1","-50","2","22","-12","-6","2","-56","2","-10","-12","-28","11","-37","0","-3","-10","-21","-16","56","9","-12","-5","-12","-3","8","21","25","15","17","-1","-25","-10","-12","-12","-12","-2","2","-4","1","-2","-32","0","44","-11","-14","-18","-6","-15","20","-8","-12","16","3","5","-4","-15","-13","5","-30","-2","40","-12","-24","56","1","3","46","-4","-29","3","6","-12","3","-10","10","-6","-22","4","6","-18","-3","-16","7","18","-20","1","-40","22","10","-2","-8","36","-8","-14","-6","-13","29","28","14","5","-4","-7","-27","-16","11","-8","-10","10","7","8","9","-10","0","3","-4","-8","0","2","-3","-5","42","-9","27","-18","6","-10","38","-8","-21","1","-45","24","96","-10","-5","24","51","10","-15","7","-1","2","26","-8","20","-14","6","-26","11","-1","-6","-20","-36","-17","11","8","-33","2","-14","12","-15","16","-3","11","-5","-11","52","-6","54","6","-24","-2","34","-12","12","4","1","35","64","6","24","5","-14","0","20","9","22","28","20","1"],"lmfdb":"agrees","curve":{"cremona":"470a1","lmfdb":"470.b","ainvs":[1,0,1,-44,106],"rank":1,"torsion":1},"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.b"}