# Data for modular curve with label 48.48.0-48.g.1.31, downloaded from the LMFDB on 08 June 2024.
{"label": "48.48.0-48.g.1.31", "coarse_level": 48, "coarse_index": 24, "genus": 0, "coarse_label": "48.24.0.g.1", "coarse_class": "48.24.0.g", "coarse_class_num": 7, "coarse_num": 1, "level": 48, "index": 48, "fine_num": 31, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[5, 12, 0, 29], [9, 7, 32, 27], [19, 46, 4, 41], [37, 43, 20, 37], [41, 4, 12, 47]], "canonical_generators": [[0, 41, 23, 42], [0, 47, 19, 44], [0, 47, 37, 10], [0, 47, 37, 26], [1, 0, 16, 1], [1, 16, 0, 1], [16, 21, 3, 34], [16, 33, 15, 34], [17, 16, 32, 33], [32, 45, 27, 2]], "parents": ["8.24.0-8.n.1.11", "48.24.0-8.n.1.1"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.24.0-8.n.1.11", "8.24.0-8.n.1.11", "8.24.0-8.n.1.11"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 16, 2], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 128, 2], [48, 256, 1], [48, 1024, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 16, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 4], [4, 1], [16, 1]], "psl2label": "16.24.0.b.1", "sl2label": "16.48.0-16.b.1.2", "CPlabel": "16C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "48.48.0.193", "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], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 109, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [17, 0, 31, 47], "has_obstruction": -1, "num_known_degree1_noncusp_points": 108, "num_known_degree1_noncm_points": 108, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.12.0.n.1"]}