# Data for modular curve with label 60.48.2.f.1, downloaded from the LMFDB on 11 June 2024.
{"label": "60.48.2.f.1", "coarse_level": 60, "coarse_index": 48, "genus": 2, "coarse_label": "60.48.2.f.1", "coarse_class": "60.48.2.f", "coarse_class_num": 6, "coarse_num": 1, "level": 60, "index": 48, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[17, 16, 33, 7], [23, 10, 12, 17], [41, 6, 21, 59], [49, 50, 15, 31], [53, 52, 15, 31]], "canonical_generators": [[0, 1, 11, 16], [0, 1, 41, 16], [0, 1, 43, 36], [0, 11, 1, 56], [1, 0, 12, 1], [1, 12, 0, 1], [6, 1, 47, 34], [13, 12, 48, 49], [36, 5, 55, 56], [36, 25, 35, 16]], "parents": ["12.24.1.l.1", "60.12.0.bn.1"], "parents_conj": [[46, 9, 27, 46], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "4.6.0.e.1", "4.6.0.e.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.1.l.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[4, 3], [12, 3]], "psl2label": "12.48.2.b.1", "sl2label": "12.48.2.b.1", "CPlabel": "12G2", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "60.48.2.8", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 1, "newforms": ["48.2.a.a", "1800.2.a.m"], "dims": [1, 1], "mults": [1, 1], "traces": [0, 1, -2, 0, -8, 0, 4, 0, 0, 0, 0, 0, 0, -8, 0, -4, -8, -4, 8, -16, 0, 0, 0, 0, 0, 0, -32, 0, -4, 36, 16, 8, -12, 0, 0, 0, 0, -24, 0, 12, -24, 12, 0, 0, -36, 0, 0, 16, 0, 44, 20, 32, 36, -40, 4, 0, 0, 0, 0, 0, 56, -36, -24, 48, 0, 12, 0, 0, 0, 60, 4, 48, 16, 0, 0, 0, 0, 0, 0, -12, -24, -20, -64, 0, 0, 0, 0, 0, 0, -16, 0, 32, 64, 24, 0, 0, 0, 0, -8, -36, -88, -52, 0, 0, 0, 0, 0, -28, -48, -76, 80, 0, 84, 0, 0, 0, -24, 0, 12, -24, -20, 0, -4, 0, 0, 0, -20, 64, -96, 0, 0, 0, 0, 0, 0, 4, -36, -56, 44, 0, 0, 0, 32, 0, -100, 48, 0, 84, 0, 0, 0, 0, 8, 0, -8, -32, 0, 0, 0, 0, 0, -108, 32, -72, -60, 0, 0, 0], "trace_hash": 1805623767918281732, "simple": false, "squarefree": true, "power": false, "conductor": [[2, 7], [3, 3], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "11.36674295479214698931", "prec": 77}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 1, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "4.6.0.e.1", "6.12.0.a.1", "12.24.1.l.1", "60.12.0.bn.1", "60.48.2.f.1"], "lattice_x": [3270, 4834, 1754, 7441, 3033, 6114, 8720, 7393], "curve_label": null, "canonical_conjugator": [47, 27, 14, 23], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": 3, "all_degree1_points_known": null}