# Data for modular curve with label 312.96.0-312.be.2.4, downloaded from the LMFDB on 01 June 2024.
{"label": "312.96.0-312.be.2.4", "coarse_level": 312, "coarse_index": 48, "genus": 0, "coarse_label": "312.48.0.be.2", "coarse_class": "312.48.0.be", "coarse_class_num": 31, "coarse_num": 2, "level": 312, "index": 96, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[15, 80, 182, 215], [33, 212, 272, 155], [87, 20, 146, 133], [193, 136, 166, 51], [311, 268, 290, 153]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 156, 1], [1, 4, 16, 3], [1, 4, 40, 267], [1, 4, 88, 147], [1, 4, 88, 303], [1, 8, 0, 1], [1, 8, 42, 299], [9, 8, 304, 305], [79, 156, 156, 79], [311, 156, 0, 311], [311, 304, 190, 87]], "parents": ["8.48.0-8.e.1.15", "312.48.0-8.e.1.2", "312.48.0-156.c.1.9", "312.48.0-156.c.1.23", "312.48.0-312.t.1.32", "312.48.0-312.t.1.58"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15", "156.24.0.c.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 8, 6], [12, 16, 2], [12, 32, 2], [13, 168, 1], [24, 64, 6], [26, 168, 3], [39, 1344, 1], [52, 336, 2], [52, 672, 2], [78, 1344, 3], [104, 1344, 6], [156, 2688, 2], [156, 5376, 2], [312, 10752, 6]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 4, 4], [8, 8, 1], [12, 8, 2], [12, 16, 2], [13, 84, 1], [24, 32, 4], [24, 64, 1], [26, 84, 3], [39, 672, 1], [52, 168, 2], [52, 336, 2], [78, 672, 3], [104, 672, 4], [104, 1344, 1], [156, 1344, 2], [156, 2688, 2], [312, 5376, 4], [312, 10752, 1]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [13, 14, 1], [24, 8, 2], [24, 16, 2], [26, 14, 3], [39, 56, 1], [52, 14, 2], [52, 28, 2], [78, 56, 3], [104, 28, 2], [104, 56, 2], [156, 56, 2], [156, 112, 2], [312, 112, 2], [312, 224, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 10, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2], [4, 1]], "cusp_widths": [[4, 8], [8, 2]], "psl2label": "8.48.0.a.1", "sl2label": "8.48.0.a.1", "CPlabel": "8N0", "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, 3, 13], "num_bad_primes": 3, "level_radical": 78, "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.e.1", "156.24.0.c.1", "312.24.0.t.1"]}