# Data for modular curve with label 312.24.0-104.v.1.6, downloaded from the LMFDB on 20 May 2024.
{"label": "312.24.0-104.v.1.6", "coarse_level": 104, "coarse_index": 12, "genus": 0, "coarse_label": "104.12.0.v.1", "coarse_class": "104.12.0.v", "coarse_class_num": 22, "coarse_num": 1, "level": 312, "index": 24, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[77, 176, 103, 171], [131, 140, 164, 273], [253, 36, 280, 307], [257, 212, 250, 3], [263, 56, 125, 127]], "canonical_generators": [[1, 0, 104, 1], [1, 0, 108, 1], [1, 0, 234, 1], [1, 104, 0, 1], [1, 108, 3, 289], [1, 108, 105, 241], [1, 108, 231, 121], [1, 216, 3, 247], [77, 0, 78, 77], [103, 0, 0, 311], [105, 104, 208, 209], [203, 204, 108, 107], [311, 96, 309, 143], [311, 204, 0, 311]], "parents": ["24.12.0-4.c.1.5", "312.12.0-4.c.1.4"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "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", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "24.12.0-4.c.1.5", "104.12.0.v.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [13, 168, 1], [24, 64, 2], [24, 256, 1], [26, 168, 1], [26, 336, 1], [39, 1344, 1], [52, 336, 2], [52, 1344, 1], [78, 1344, 1], [78, 2688, 1], [104, 1344, 2], [104, 5376, 1], [156, 2688, 2], [156, 10752, 1], [312, 10752, 2], [312, 43008, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [13, 84, 1], [24, 32, 2], [24, 128, 1], [26, 84, 1], [26, 168, 1], [39, 672, 1], [52, 168, 2], [52, 672, 1], [78, 672, 1], [78, 1344, 1], [104, 672, 2], [104, 2688, 1], [156, 1344, 2], [156, 5376, 1], [312, 5376, 2], [312, 21504, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [12, 4, 2], [12, 16, 1], [13, 14, 1], [24, 8, 2], [24, 32, 1], [26, 14, 1], [26, 28, 1], [39, 56, 1], [52, 14, 2], [52, 56, 1], [78, 56, 1], [78, 112, 1], [104, 28, 2], [104, 112, 1], [156, 56, 2], [156, 224, 1], [312, 112, 2], [312, 448, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 4, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[2, 2], [4, 2]], "psl2label": "4.12.0.a.1", "sl2label": "4.12.0.a.1", "CPlabel": "4E0", "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": ["4.6.0.c.1", "104.6.0.b.1", "104.6.0.f.1"]}