# Data for modular curve with label 168.16.0-84.b.1.4, downloaded from the LMFDB on 20 May 2024.
{"label": "168.16.0-84.b.1.4", "coarse_level": 84, "coarse_index": 8, "genus": 0, "coarse_label": "84.8.0.b.1", "coarse_class": "84.8.0.b", "coarse_class_num": 2, "coarse_num": 1, "level": 168, "index": 16, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[13, 30, 79, 53], [45, 125, 34, 29], [149, 124, 107, 129], [157, 5, 7, 96]], "canonical_generators": [[0, 1, 19, 36], [0, 1, 19, 48], [0, 167, 127, 110], [0, 167, 143, 132], [1, 0, 6, 1], [1, 0, 84, 1], [1, 6, 0, 1], [1, 84, 0, 1], [15, 7, 77, 64], [83, 0, 0, 167], [85, 84, 84, 85], [132, 161, 91, 167], [161, 162, 90, 89]], "parents": ["24.8.0-3.a.1.2", "168.8.0-3.a.1.5"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "24.8.0-3.a.1.2", "84.8.0.b.1"], "factorization": [], "orbits": [[2, 3, 1], [3, 2, 1], [3, 6, 1], [4, 12, 1], [6, 6, 1], [6, 18, 1], [7, 48, 1], [8, 48, 1], [12, 24, 1], [12, 72, 1], [14, 144, 1], [21, 96, 1], [21, 288, 1], [24, 96, 1], [24, 288, 1], [28, 576, 1], [42, 288, 1], [42, 864, 1], [56, 2304, 1], [84, 1152, 1], [84, 3456, 1], [168, 4608, 1], [168, 13824, 1]], "kummer_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 24, 1], [8, 24, 1], [12, 12, 1], [12, 36, 1], [14, 72, 1], [21, 48, 1], [21, 144, 1], [24, 48, 1], [24, 144, 1], [28, 288, 1], [42, 144, 1], [42, 432, 1], [56, 1152, 1], [84, 576, 1], [84, 1728, 1], [168, 2304, 1], [168, 6912, 1]], "isogeny_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [6, 3, 1], [6, 9, 1], [7, 8, 1], [8, 12, 1], [12, 6, 1], [12, 18, 1], [14, 24, 1], [21, 8, 1], [21, 24, 1], [24, 12, 1], [24, 36, 1], [28, 48, 1], [42, 24, 1], [42, 72, 1], [56, 96, 1], [84, 48, 1], [84, 144, 1], [168, 96, 1], [168, 288, 1]], "psl2index": 8, "nu2": 0, "nu3": 2, "cusps": 2, "psl2level": 6, "sl2level": 6, "rational_cusps": 2, "cusp_orbits": [[1, 2]], "cusp_widths": [[2, 1], [6, 1]], "psl2label": "6.8.0.a.1", "sl2label": "6.8.0.a.1", "CPlabel": "6C0", "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, 7], "num_bad_primes": 3, "level_radical": 42, "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": ["3.4.0.a.1", "84.2.0.a.1"]}