# Data for modular curve with label 8.12.0-4.c.1.5, downloaded from the LMFDB on 12 June 2024.
{"label": "8.12.0-4.c.1.5", "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": 8, "index": 12, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[3, 1, 4, 7], [7, 1, 4, 1], [7, 2, 4, 5], [7, 5, 4, 5]], "canonical_generators": [[0, 1, 1, 0], [0, 5, 7, 6], [0, 7, 5, 6], [3, 0, 0, 7], [5, 4, 4, 5], [7, 0, 4, 7], [7, 4, 0, 7]], "parents": [], "parents_conj": null, "reductions": ["2.3.0.a.1", "4.6.0.c.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 4, 2], [8, 16, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 8, 1]], "psl2index": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 4, "sl2level": 8, "rational_cusps": 3, "cusp_orbits": [[1, 3]], "cusp_widths": [[1, 2], [4, 1]], "psl2label": "4.6.0.a.1", "sl2label": "8.12.0-4.a.1.2", "CPlabel": "4B0", "Slabel": null, "SZlabel": null, "RZBlabel": "X13d", "RSZBlabel": "8.12.0.6", "Glabel": "128.1735", "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], "num_bad_primes": 1, "level_radical": 2, "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": [1, 2, 7, 5], "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"]}