# Data for modular curve with label 60.12.0-4.c.1.1, downloaded from the LMFDB on 10 June 2024.
{"label": "60.12.0-4.c.1.1", "coarse_level": 4, "coarse_index": 6, "genus": 0, "coarse_label": "4.6.0.c.1", "coarse_class": "4.6.0.c", "coarse_class_num": 3, "coarse_num": 1, "level": 60, "index": 12, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[7, 44, 48, 7], [33, 28, 1, 47], [37, 16, 5, 3], [57, 32, 4, 7]], "canonical_generators": [[1, 0, 4, 1], [1, 4, 0, 1], [5, 4, 56, 57], [16, 15, 45, 46], [16, 45, 45, 16], [19, 0, 0, 59], [23, 0, 0, 59], [44, 15, 45, 14]], "parents": [], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [20, 48, 2], [20, 192, 1], [30, 192, 1], [30, 384, 1], [60, 384, 2], [60, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [20, 24, 2], [20, 96, 1], [30, 96, 1], [30, 192, 1], [60, 192, 2], [60, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [20, 6, 2], [20, 24, 1], [30, 24, 1], [30, 48, 1], [60, 24, 2], [60, 96, 1]], "psl2index": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 4, "sl2level": 4, "rational_cusps": 3, "cusp_orbits": [[1, 3]], "cusp_widths": [[1, 2], [4, 1]], "psl2label": "4.6.0.a.1", "sl2label": "4.12.0-4.a.1.1", "CPlabel": "4B0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "60.12.0.7", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 0, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": 0, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [-4, -16], "obstructions": [], "pointless": false, "num_known_degree1_points": 95099, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [29, 29, 27, 16], "has_obstruction": -1, "num_known_degree1_noncusp_points": 95098, "num_known_degree1_noncm_points": 95096, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.3.0.a.1"]}