# Data for modular curve with label 312.144.3-312.z.1.5, downloaded from the LMFDB on 02 June 2024.
{"label": "312.144.3-312.z.1.5", "coarse_level": 312, "coarse_index": 72, "genus": 3, "coarse_label": "312.72.3.z.1", "coarse_class": "312.72.3.z", "coarse_class_num": 26, "coarse_num": 1, "level": 312, "index": 144, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[63, 14, 200, 175], [79, 196, 4, 89], [99, 202, 266, 261], [147, 62, 64, 285], [295, 290, 284, 89]], "canonical_generators": [[1, 0, 12, 1], [1, 4, 88, 303], [1, 8, 42, 299], [1, 12, 0, 1], [1, 16, 10, 267], [1, 16, 22, 147], [1, 16, 82, 3], [13, 12, 300, 301], [77, 286, 208, 181], [157, 26, 104, 53], [157, 104, 104, 53], [311, 302, 152, 87]], "parents": ["24.72.2-24.a.1.12", "156.72.1-78.a.1.4", "312.72.1-78.a.1.2", "312.72.2-24.a.1.10", "312.72.2-312.h.1.31", "312.72.2-312.h.1.32"], "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", "3.3.0.a.1", "6.18.1.a.1", "8.12.0.a.1", "8.12.0.a.1", "12.36.1-6.a.1.2", "24.72.2-24.a.1.12", "39.6.0.a.1", "78.36.1.a.1", "156.72.1-78.a.1.4"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [8, 16, 3], [12, 32, 3], [13, 168, 1], [24, 128, 3], [26, 168, 3], [39, 1344, 1], [52, 672, 3], [78, 1344, 3], [104, 2688, 3], [156, 5376, 3], [312, 21504, 3]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [8, 8, 3], [12, 16, 3], [13, 84, 1], [24, 64, 3], [26, 84, 3], [39, 672, 1], [52, 336, 3], [78, 672, 3], [104, 1344, 3], [156, 2688, 3], [312, 10752, 3]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [8, 4, 3], [12, 8, 3], [13, 14, 1], [24, 16, 3], [26, 14, 3], [39, 56, 1], [52, 28, 3], [78, 56, 3], [104, 56, 3], [156, 112, 3], [312, 224, 3]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 12, "sl2level": 12, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 1]], "cusp_widths": [[6, 4], [12, 4]], "psl2label": "12.72.3.a.1", "sl2label": "12.72.3.a.1", "CPlabel": "12G3", "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": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [2, 4], "qbar_gonality": null, "qbar_gonality_bounds": [2, 3], "bad_primes": [2, 3, 13], "num_bad_primes": 3, "level_radical": 78, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [0], "pointless": true, "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": ["24.36.2.a.1", "78.36.1.a.1", "312.36.0.fs.1", "312.36.1.z.1", "312.36.1.qg.1", "312.36.2.h.1", "312.36.2.eb.1"]}