{"label":"270.2.a.c","letter":"c","dim":1,"charpoly":["-15","1"],"traces":["1","1","0","1","-1","0","2","1","0","-1","3","0","5","2","0","1","-3","0","-4","-1","0","3","-9","0","1","5","0","2","-3","0","5","1","0","-3","-2","0","-10","-4","0","-1","0","0","-1","3","0","-9","9","0","-3","1","0","5","-12","0","-3","2","0","-3","12","0","2","5","0","1","-5","0","-4","-3","0","-2","12","0","-10","-10","0","-4","6","0","-13","-1","0","0","6","0","3","-1","0","3","-12","0","10","-9","0","9","4","0","2","-3","0","1","15","0","2","5","0","-12","6","0","20","-3","0","2","-15","0","9","-3","0","12","-6","0","-2","2","0","5","-1","0","2","1","0","-5","-3","0","-8","-4","0","-3","-6","0","2","-2","0","12","15","0","3","-10","0","-10","21","0","11","-4","0","6","-5","0","-13","-13","0","-1","-18","0","11","0","0","6","-12","0","12","3","0","-1","18","0","2","3","0","-12","12","0","20","10","0","-9","10","0","-9","9","0","4","6","0","-10","2","0","-3","0","0","-7","1","0","15","-6","0","0","2","0","5","-12","0","-22","-12","0","6","1","0","10","20","0","-3","-15","0","8","2","0","-15","0","0","-4","9","0","-3","6","0","-9","12","0","-6","-6","0","-19","-2","0","2","3","0","-20","5","0","-1","-9","0","-27","2","0","1","-15","0","-20","-5","0","-3","12","0","12","-8","0","-4","-9","0","8","-3","0","-6","3","0","-10","2","0","-2","-30","0","32","12","0","15","0","0","-8","3","0","-10","18","0","-12","-10","0","21","-45","0","-2","11","0","-4","-2","0","11","6","0","-5","-24","0","8","-13","0","-13","0","0","-9","-1","0","-18","12","0","5","11","0","0","18","0","14","6","0","-12","4","0","32","12","0","3","15","0","-20","-1","0","18","0","0","14","2","0","3","3","0","-12","-12","0","12","12","0","-3","20","0","10","10","0","26","-9","0","10","-24","0","-1","-9","0","9","-15","0","-16","4","0","6","-9","0","-6","-10","0","2","9","0","27","-3","0","0","13","0","-7","-7","0","1","36","0","25","15","0","-6","-30","0","23","0","0","2","24","0","-6","5","0","-12","-3","0","-4","-22","0","-12","-3","0","4","6","0","1","0","0","2","10","0","20","36","0","8","-3","0","-15","-12","0","12","8","0","2","-6","0","0","-15","0","0","-10","0","-28","-4","0","9","18","0","38","-3","0","6","12","0","-8","-9","0","12","-3","0","-4","-6","0","-6","36","0","-50","-19","0","-2","-2","0","20","2","0","3","-12","0","9","-20","0","5","24","0","-4","-1","0","-9","-9","0","-15","-27","0","2","9","0","-20","1","0","-15","-2","0","27","-20","0","-5","-12","0","-31","-3","0","12","-15","0","58","12","0","-8","0","0","-6","-4","0","-9","-9","0","-22","8","0","-3","-20","0","-13","-6","0","3","12","0","-26","-10","0","2","12","0","-5","-2","0","-30","6","0","15","32","0","12","0","0","-10","15","0","0","-9","0","32","-8","0","3","12","0","-36","-10","0","18","-18","0","-20","-12","0","-10","-27","0","6","21","0","-45","-30","0","-19","-2","0","11","2","0","-34","-4","0","-2","45","0","-19","11","0","6","3","0","-34","-5","0","-24","-24","0","1","8","0","-13","30","0","-16","-13","0","0","-2","0","-15","-9","0","-1","30","0","23","-18","0","12","12","0","36","5","0","11","36","0","3","0","0","18","48","0","2","14","0","6","8","0","27","-12","0","4","6","0","-22","32","0","12","12","0","4","3","0","15","-48","0","6","-20","0","-1","-60","0","-10","18","0","0","-2","0","0","14","0","2","21","0","40","3","0","3","30","0","20","-12","0","-12","-45","0","-15","12","0","12","-30","0","4","-3","0","20","-3","0","44","10","0","10","3","0","-22","26","0","-9","-12","0","20","10","0","-24","-27","0","-21","-1","0","-9","12","0","-25","9","0","-15","-11","0","-13","-16","0","4","-18","0","40","6","0","-9","60","0","23","-6","0","-10","-42","0","5","2","0","9","0","0","36","27","0","-3","13","0","-1","0","0","13","-30","0","10","-7","0","-7","-36","0","-27","1","0","36","-30","0","18","25","0","15","24","0","38","-6","0","-30","-11","0","4","23","0","0","-42","0","-4","2","0","24","-42","0","44","-6","0","5","9","0","12","-12","0","-3","6","0","-20","-4","0","-22","-12","0","-4","-12","0","-3","90","0","-19","4","0","6","-6","0","2","1","0","0","21","0","-18","2","0","10","-39","0","-20","20","0","36","-2","0","-1","8","0","-3","-18","0","-4","-15","0","-12","-3","0","4","12","0","8","-36","0","-12","2","0","-6","-15","0","36","0","0","-15","-20","0","59","0","0","-10","0","0","18","-28","0","-4","-6","0","-25","9","0","18","60","0","-10","38","0","-3","36","0","12","6","0","12","9","0","-22","-8","0","-9","33","0","0","12","0","-3","-42","0","-50","-4","0","-6","15","0","-6","-6","0","36","-12","0","-6","-50","0","-19","10","0","2","-2","0","-2","-57","0","4","20","0","2","33","0","-36","3","0","-12","39","0","0","9","0","-20","9","0","5","5","0","24","7","0","-37","-4","0","-1"],"lmfdb":"agrees","curve":{"cremona":"270b1","lmfdb":"270.c","ainvs":[1,-1,1,7,-103],"rank":0,"torsion":3},"space":"270.2.a","level":270,"weight":2,"T":[[7,1],[11,3],[13,5],[17,7]],"status":"proven","derived":{"al":[[2,-1],[3,null],[5,1]],"fricke":null,"sign":null,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/270.2.a.c"}