# Data for modular curve with label 12.48.0-12.c.1.2, downloaded from the LMFDB on 20 May 2024. {"label": "12.48.0-12.c.1.2", "coarse_level": 12, "coarse_index": 24, "genus": 0, "coarse_label": "12.24.0.c.1", "coarse_class": "12.24.0.c", "coarse_class_num": 3, "coarse_num": 1, "level": 12, "index": 48, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[9, 10, 10, 5], [11, 4, 2, 9]], "canonical_generators": [[1, 0, 4, 1], [1, 2, 8, 3], [1, 4, 0, 1], [5, 0, 0, 5], [5, 4, 8, 9], [11, 8, 4, 9], [11, 10, 4, 3]], "parents": ["4.24.0-4.b.1.2", "12.24.0-4.b.1.1", "12.24.0-12.a.1.1", "12.24.0-12.a.1.4", "12.24.0-12.b.1.2", "12.24.0-12.b.1.4"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.24.0-4.b.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 4], [4, 4, 1], [6, 8, 3], [12, 16, 4], [12, 32, 1]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [12, 8, 2], [12, 16, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [12, 4, 2], [12, 8, 2]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 4, "sl2level": 4, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[4, 6]], "psl2label": "4.24.0.a.1", "sl2label": "4.48.0-4.a.1.1", "CPlabel": "4G0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "12.48.0.10", "Glabel": "96.189", "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": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 55, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 11, 11], "has_obstruction": -1, "num_known_degree1_noncusp_points": 54, "num_known_degree1_noncm_points": 54, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.12.0.b.1", "12.12.0.a.1", "12.12.0.b.1"]}