# Data for modular curve with label 312.96.1-312.blf.1.9, downloaded from the LMFDB on 12 June 2024.
{"label": "312.96.1-312.blf.1.9", "coarse_level": 312, "coarse_index": 48, "genus": 1, "coarse_label": "312.48.1.blf.1", "coarse_class": "312.48.1.blf", "coarse_class_num": 968, "coarse_num": 1, "level": 312, "index": 96, "fine_num": 9, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[173, 306, 128, 31], [179, 156, 2, 37], [189, 227, 226, 5], [243, 68, 2, 225]], "canonical_generators": [[1, 0, 12, 1], [1, 3, 112, 65], [1, 3, 190, 143], [1, 5, 130, 105], [1, 12, 0, 1], [13, 12, 300, 301], [129, 182, 208, 233], [209, 130, 104, 105], [311, 286, 260, 207], [311, 309, 68, 175], [311, 309, 212, 295], [311, 309, 308, 127]], "parents": ["24.48.0-12.h.1.6", "156.48.0-12.h.1.2", "312.48.0-312.ft.1.14", "312.48.0-312.ft.1.21", "312.48.1-312.hn.1.4", "312.48.1-312.hn.1.23"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "12.24.0.h.1", "24.48.0-12.h.1.6", "78.24.0-6.a.1.2", "104.6.0.f.1", "156.48.0-12.h.1.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [13, 168, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [26, 168, 1], [26, 336, 1], [39, 336, 1], [39, 1008, 1], [52, 672, 1], [52, 1344, 1], [78, 336, 1], [78, 672, 1], [78, 1008, 1], [78, 2016, 1], [104, 2688, 1], [104, 5376, 1], [156, 1344, 1], [156, 2688, 1], [156, 4032, 1], [156, 8064, 1], [312, 5376, 1], [312, 10752, 1], [312, 16128, 1], [312, 32256, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [13, 84, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [26, 84, 1], [26, 168, 1], [39, 168, 1], [39, 504, 1], [52, 336, 1], [52, 672, 1], [78, 168, 1], [78, 336, 1], [78, 504, 1], [78, 1008, 1], [104, 1344, 1], [104, 2688, 1], [156, 672, 1], [156, 1344, 1], [156, 2016, 1], [156, 4032, 1], [312, 2688, 1], [312, 5376, 1], [312, 8064, 1], [312, 16128, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [13, 14, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [26, 14, 1], [26, 28, 1], [39, 14, 1], [39, 42, 1], [52, 28, 1], [52, 56, 1], [78, 14, 1], [78, 28, 1], [78, 42, 1], [78, 84, 1], [104, 56, 1], [104, 112, 1], [156, 28, 1], [156, 56, 1], [156, 84, 1], [156, 168, 1], [312, 56, 1], [312, 112, 1], [312, 168, 1], [312, 336, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 12, "sl2level": 12, "rational_cusps": 0, "cusp_orbits": [[2, 4]], "cusp_widths": [[2, 2], [4, 2], [6, 2], [12, 2]], "psl2label": "12.48.1.a.1", "sl2label": "12.48.1.a.1", "CPlabel": "12P1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [2, 48], "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": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.24.0.h.1", "312.12.0.cj.1", "312.24.0.ft.1", "312.24.1.hn.1"]}