# Data for modular curve with label 312.96.1-156.bb.1.6, downloaded from the LMFDB on 11 June 2024. {"label": "312.96.1-156.bb.1.6", "coarse_level": 156, "coarse_index": 48, "genus": 1, "coarse_label": "156.48.1.bb.1", "coarse_class": "156.48.1.bb", "coarse_class_num": 28, "coarse_num": 1, "level": 312, "index": 96, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[1, 122, 64, 213], [41, 273, 24, 59], [63, 179, 140, 291], [167, 75, 150, 47]], "canonical_generators": [[1, 0, 12, 1], [1, 0, 156, 1], [1, 3, 112, 65], [1, 12, 0, 1], [1, 156, 0, 1], [27, 130, 104, 79], [155, 0, 0, 311], [157, 156, 156, 157], [259, 182, 208, 207], [299, 300, 168, 167], [311, 286, 260, 207], [311, 304, 218, 195], [311, 307, 302, 195], [311, 310, 300, 169]], "parents": ["24.48.0-12.h.1.6", "312.48.0-12.h.1.1", "312.48.0-156.t.1.6", "312.48.0-156.t.1.9", "312.48.1-156.p.1.5", "312.48.1-156.p.1.10"], "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", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.0.h.1", "24.48.0-12.h.1.6", "52.6.0.e.1", "52.6.0.e.1", "156.48.1.bb.1"], "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", "156.12.0.t.1", "156.24.0.t.1", "156.24.1.p.1"]}