# Data for modular curve with label 312.96.2-312.b.1.24, downloaded from the LMFDB on 23 May 2024.
{"label": "312.96.2-312.b.1.24", "coarse_level": 312, "coarse_index": 48, "genus": 2, "coarse_label": "312.48.2.b.1", "coarse_class": "312.48.2.b", "coarse_class_num": 2, "coarse_num": 1, "level": 312, "index": 96, "fine_num": 24, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[131, 34, 260, 261], [135, 226, 34, 135], [141, 100, 76, 183], [201, 238, 130, 111], [209, 76, 56, 183], [279, 286, 124, 9]], "canonical_generators": [[1, 0, 12, 1], [1, 2, 12, 299], [1, 2, 168, 299], [1, 12, 0, 1], [13, 12, 300, 301], [285, 182, 286, 233], [311, 208, 182, 207], [311, 286, 260, 207], [311, 306, 152, 169], [311, 306, 152, 247], [311, 310, 248, 117]], "parents": ["6.48.0-6.a.1.2", "312.32.0-312.a.1.1", "312.48.0-6.a.1.11"], "parents_conj": null, "reductions": ["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", "2.6.0.a.1", "2.6.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 2, 1], [3, 3, 2], [4, 4, 3], [6, 2, 3], [6, 3, 6], [8, 16, 3], [12, 8, 3], [12, 12, 6], [13, 168, 1], [24, 32, 3], [24, 48, 6], [26, 168, 3], [39, 336, 1], [39, 504, 2], [52, 672, 3], [78, 336, 3], [78, 504, 6], [104, 2688, 3], [156, 1344, 3], [156, 2016, 6], [312, 5376, 3], [312, 8064, 6]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 8, 3], [12, 4, 3], [12, 12, 3], [13, 84, 1], [24, 16, 3], [24, 48, 3], [26, 84, 3], [39, 168, 1], [39, 504, 1], [52, 336, 3], [78, 168, 3], [78, 504, 3], [104, 1344, 3], [156, 672, 3], [156, 2016, 3], [312, 2688, 3], [312, 8064, 3]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 4, 3], [12, 2, 3], [12, 6, 3], [13, 14, 1], [24, 4, 3], [24, 12, 3], [26, 14, 3], [39, 14, 1], [39, 42, 1], [52, 28, 3], [78, 14, 3], [78, 42, 3], [104, 56, 3], [156, 28, 3], [156, 84, 3], [312, 56, 3], [312, 168, 3]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 12, "sl2level": 12, "rational_cusps": 6, "cusp_orbits": [[1, 6]], "cusp_widths": [[4, 3], [12, 3]], "psl2label": "12.48.2.a.1", "sl2label": "12.48.2.a.1", "CPlabel": "12F2", "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": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "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": ["6.24.0.a.1", "312.16.0.a.1"]}