# Data for modular curve with label 312.48.0-312.du.1.10, downloaded from the LMFDB on 05 June 2024.
{"label": "312.48.0-312.du.1.10", "coarse_level": 312, "coarse_index": 24, "genus": 0, "coarse_label": "312.24.0.du.1", "coarse_class": "312.24.0.du", "coarse_class_num": 99, "coarse_num": 1, "level": 312, "index": 48, "fine_num": 10, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[147, 4, 112, 111], [203, 156, 269, 275], [247, 36, 218, 65], [303, 172, 106, 55]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 234, 1], [1, 8, 0, 1], [1, 8, 5, 147], [1, 8, 21, 185], [1, 8, 33, 137], [1, 8, 57, 17], [9, 8, 304, 305], [77, 0, 78, 77], [157, 0, 234, 157], [309, 304, 235, 249], [311, 308, 247, 207]], "parents": ["24.24.0-24.ba.1.12", "104.24.0-104.y.1.3", "312.24.0-24.ba.1.10", "312.24.0-104.y.1.14", "312.24.0-312.s.1.3", "312.24.0-312.s.1.15"], "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", "8.12.0-4.c.1.5", "12.12.0-4.c.1.1", "12.12.0-4.c.1.1", "24.24.0-24.ba.1.12", "104.24.0-104.y.1.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [13, 168, 1], [24, 32, 2], [24, 64, 1], [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, 672, 2], [104, 1344, 1], [104, 5376, 1], [156, 2688, 2], [156, 10752, 1], [312, 5376, 2], [312, 10752, 1], [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": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[2, 4], [8, 2]], "psl2label": "8.24.0.b.1", "sl2label": "8.24.0.b.1", "CPlabel": "8G0", "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": null, "q_gonality_bounds": [1, 2], "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": 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": ["24.12.0.ba.1", "104.12.0.y.1", "312.12.0.s.1"]}