# Data for modular curve with label 168.24.0-168.ba.1.18, downloaded from the LMFDB on 22 May 2024.
{"label": "168.24.0-168.ba.1.18", "coarse_level": 168, "coarse_index": 12, "genus": 0, "coarse_label": "168.12.0.ba.1", "coarse_class": "168.12.0.ba", "coarse_class_num": 27, "coarse_num": 1, "level": 168, "index": 24, "fine_num": 18, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[34, 15, 93, 112], [89, 68, 116, 45], [99, 98, 10, 99], [158, 103, 67, 114], [165, 106, 32, 3]], "canonical_generators": [[0, 1, 61, 148], [0, 1, 151, 162], [0, 11, 101, 90], [0, 11, 101, 162], [0, 167, 149, 6], [1, 0, 8, 1], [1, 8, 0, 1], [9, 8, 160, 161], [64, 147, 21, 22], [104, 63, 105, 62], [104, 147, 21, 62]], "parents": ["24.12.0-4.c.1.5", "28.12.0-4.c.1.1"], "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", "24.12.0-4.c.1.5", "28.12.0-4.c.1.1", "28.12.0-4.c.1.1", "28.12.0-4.c.1.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [14, 48, 1], [14, 96, 1], [21, 384, 1], [24, 64, 2], [24, 256, 1], [28, 96, 2], [28, 384, 1], [42, 384, 1], [42, 768, 1], [56, 384, 2], [56, 1536, 1], [84, 768, 2], [84, 3072, 1], [168, 3072, 2], [168, 12288, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [14, 24, 1], [14, 48, 1], [21, 192, 1], [24, 32, 2], [24, 128, 1], [28, 48, 2], [28, 192, 1], [42, 192, 1], [42, 384, 1], [56, 192, 2], [56, 768, 1], [84, 384, 2], [84, 1536, 1], [168, 1536, 2], [168, 6144, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [12, 4, 2], [12, 16, 1], [14, 8, 1], [14, 16, 1], [21, 32, 1], [24, 8, 2], [24, 32, 1], [28, 8, 2], [28, 32, 1], [42, 32, 1], [42, 64, 1], [56, 16, 2], [56, 64, 1], [84, 32, 2], [84, 128, 1], [168, 64, 2], [168, 256, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[1, 2], [2, 1], [8, 1]], "psl2label": "8.12.0.a.1", "sl2label": "8.12.0.a.1", "CPlabel": "8C0", "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": ["4.6.0.c.1"]}