# Data for modular curve with label 12.24.0-6.a.1.9, downloaded from the LMFDB on 09 June 2024.
{"label": "12.24.0-6.a.1.9", "coarse_level": 6, "coarse_index": 12, "genus": 0, "coarse_label": "6.12.0.a.1", "coarse_class": "6.12.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 12, "index": 24, "fine_num": 9, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[5, 10, 0, 1], [7, 6, 0, 5], [7, 8, 6, 5], [11, 1, 0, 5]], "canonical_generators": [[0, 1, 5, 4], [0, 7, 11, 10], [0, 11, 11, 0], [1, 0, 6, 1], [1, 6, 0, 1], [5, 0, 0, 11], [7, 6, 6, 7]], "parents": ["12.8.0-3.a.1.2"], "parents_conj": null, "reductions": ["2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "6.12.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 6, "sl2level": 6, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[1, 1], [2, 1], [3, 1], [6, 1]], "psl2label": "6.12.0.a.1", "sl2label": "6.24.0-6.a.1.2", "CPlabel": "6F0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "12.24.0.52", "Glabel": "192.1147", "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], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [-3, -12], "obstructions": [], "pointless": false, "num_known_degree1_points": 9049, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 11, 11], "has_obstruction": -1, "num_known_degree1_noncusp_points": 9048, "num_known_degree1_noncm_points": 9046, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.3.0.a.1", "3.4.0.a.1"]}