# Data for modular curve with label 112.96.0-112.d.2.1, downloaded from the LMFDB on 10 June 2024.
{"label": "112.96.0-112.d.2.1", "coarse_level": 112, "coarse_index": 48, "genus": 0, "coarse_label": "112.48.0.d.2", "coarse_class": "112.48.0.d", "coarse_class_num": 4, "coarse_num": 2, "level": 112, "index": 96, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[5, 32, 82, 7], [45, 96, 68, 23], [53, 16, 108, 29], [97, 24, 86, 93], [105, 48, 22, 77]], "canonical_generators": [[1, 0, 16, 1], [1, 0, 98, 1], [1, 8, 12, 35], [1, 16, 0, 1], [1, 16, 2, 35], [1, 16, 6, 21], [1, 16, 6, 49], [1, 16, 26, 33], [13, 56, 14, 69], [17, 16, 96, 97], [85, 56, 98, 29]], "parents": ["8.48.0-8.i.1.2", "112.48.0-8.i.1.2", "112.48.0-112.e.2.3", "112.48.0-112.e.2.30", "112.48.0-112.f.1.11", "112.48.0-112.f.1.22"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.24.0-4.b.1.1", "4.24.0-4.b.1.1", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2", "8.48.0-8.i.1.2"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 6], [7, 48, 1], [8, 4, 4], [8, 8, 4], [14, 48, 3], [16, 16, 4], [16, 32, 4], [28, 96, 6], [56, 192, 4], [56, 384, 4], [112, 768, 4], [112, 1536, 4]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [14, 24, 3], [16, 8, 2], [16, 16, 1], [16, 32, 2], [28, 48, 2], [28, 96, 2], [56, 96, 2], [56, 192, 1], [56, 384, 2], [112, 384, 2], [112, 768, 1], [112, 1536, 2]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 2], [14, 8, 3], [16, 2, 2], [16, 4, 1], [16, 8, 2], [28, 8, 2], [28, 16, 2], [56, 8, 2], [56, 16, 1], [56, 32, 2], [112, 16, 2], [112, 32, 1], [112, 64, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 10, "psl2level": 16, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2], [4, 1]], "cusp_widths": [[2, 8], [16, 2]], "psl2label": "16.48.0.a.1", "sl2label": "16.48.0.a.1", "CPlabel": "16G0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "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, 7], "num_bad_primes": 2, "level_radical": 14, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.24.0.i.1", "112.24.0.e.2", "112.24.0.f.1"]}