# Data for modular curve with label 60.192.1-60.f.4.3, downloaded from the LMFDB on 10 June 2024.
{"label": "60.192.1-60.f.4.3", "coarse_level": 60, "coarse_index": 96, "genus": 1, "coarse_label": "60.96.1.f.4", "coarse_class": "60.96.1.f", "coarse_class_num": 6, "coarse_num": 4, "level": 60, "index": 192, "fine_num": 3, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[13, 22, 24, 13], [23, 48, 54, 35], [25, 54, 24, 43], [43, 8, 36, 53]], "canonical_generators": [[1, 0, 12, 1], [1, 0, 50, 1], [1, 6, 8, 35], [1, 12, 0, 1], [1, 12, 38, 25], [7, 12, 2, 49], [11, 6, 32, 29], [13, 12, 48, 49], [49, 0, 10, 49], [55, 48, 52, 49]], "parents": ["12.96.0-12.a.2.9", "60.96.0-12.a.2.8", "60.96.0-60.a.1.14", "60.96.0-60.a.1.26", "60.96.1-60.b.1.3", "60.96.1-60.b.1.17"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.4.0.a.1", "6.24.0.a.1", "12.96.0-12.a.2.9", "15.8.0-3.a.1.2", "20.12.0.b.1", "30.48.0-6.a.1.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [5, 24, 1], [6, 2, 3], [6, 6, 3], [10, 24, 3], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [15, 48, 1], [15, 144, 1], [20, 96, 3], [30, 48, 3], [30, 144, 3], [60, 96, 2], [60, 192, 2], [60, 288, 2], [60, 576, 2]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 12, 1], [6, 1, 3], [6, 3, 3], [10, 12, 3], [12, 4, 3], [12, 6, 2], [12, 12, 2], [15, 24, 1], [15, 72, 1], [20, 48, 3], [30, 24, 3], [30, 72, 3], [60, 96, 3], [60, 144, 2], [60, 288, 2]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [5, 6, 1], [6, 1, 3], [6, 3, 3], [10, 6, 3], [12, 2, 3], [12, 6, 3], [15, 6, 1], [15, 18, 1], [20, 12, 3], [30, 6, 3], [30, 18, 3], [60, 12, 3], [60, 36, 3]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 2]], "cusp_widths": [[2, 4], [4, 4], [6, 4], [12, 4]], "psl2label": "12.96.1.a.1", "sl2label": "12.192.1-12.a.1.1", "CPlabel": "12V1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "60.192.1.282", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["600.2.a.h"], "dims": [1], "mults": [1], "traces": [0, 1, 0, 0, 4, 2, -2, -4, 8, 6, 8, -6, -6, -4, 0, 2, 4, -2, 4, 8, -10, -8, 4, -6, -2, -18, -16, 12, -2, -18, 8, -4, 6, -12, 14, -16, 2, -12, -24, -6, 12, 6, 0, -2, 18, 16, -20, 8, -12, 22, -10, -16, 18, 20, -2, 8, -10, 8, 26, 26, 28, 18, -12, -24, 6, -6, 20, -18, 12, 30, -2, -24, 8, 10, 20, 0, -2, -14, -30, -6, 12, -10, 32, 14, 0, -20, -14, 22, -26, -8, 36, -16, 32, -12, 12, -24, 6, 26, -4, -18, -44, 26, -28, 10, 36, -2, 44, 14, 24, -38, 40, -38, -42, -44, 16, -14, -12, -8, -6, 12, -10, -34, 2, -4, -4, 6, -10, -32, -48, -14, -4, 8, 24, -38, -22, 2, 18, -28, -22, 26, 4, 30, 16, 28, -50, -24, 10, -42, -12, 32, 18, 50, 4, -8, -4, 16, 16, 50, -42, 6, -12, 54, 16, 36, 30, 24, 40, 26], "trace_hash": 229566738491683071, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 3], [3, 1], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "6.39692965521614636885", "prec": 74}, "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": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [21, 41, 13, 24], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.48.0.a.2", "60.48.0.a.1", "60.48.1.b.1"]}