# Data for modular curve with label 168.96.1-168.cg.1.24, downloaded from the LMFDB on 03 June 2024. {"label": "168.96.1-168.cg.1.24", "coarse_level": 168, "coarse_index": 48, "genus": 1, "coarse_label": "168.48.1.cg.1", "coarse_class": "168.48.1.cg", "coarse_class_num": 59, "coarse_num": 1, "level": 168, "index": 96, "fine_num": 24, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[37, 64, 108, 29], [43, 52, 44, 109], [115, 134, 8, 119], [127, 146, 96, 137], [149, 10, 20, 113]], "canonical_generators": [[1, 0, 8, 1], [1, 2, 104, 105], [1, 8, 0, 1], [9, 8, 160, 161], [127, 42, 84, 127], [165, 164, 32, 135], [167, 126, 84, 167], [167, 164, 8, 93], [167, 164, 32, 21], [167, 166, 64, 105]], "parents": ["24.48.1-24.d.1.10", "56.48.0-56.i.1.6", "168.48.0-56.i.1.21", "168.48.0-168.t.2.5", "168.48.0-168.t.2.47", "168.48.1-24.d.1.13"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "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", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "8.24.0-4.b.1.10", "24.48.1-24.d.1.10", "56.48.0-56.i.1.6"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 8, 2], [8, 16, 2], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 64, 2], [24, 128, 2], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 384, 2], [56, 768, 2], [84, 768, 2], [84, 1536, 2], [168, 3072, 2], [168, 6144, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 4, 2], [8, 8, 2], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 32, 2], [24, 64, 2], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 192, 2], [56, 384, 2], [84, 384, 2], [84, 768, 2], [168, 1536, 2], [168, 3072, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 8, 1], [8, 2, 2], [8, 4, 2], [12, 4, 2], [12, 8, 2], [14, 8, 3], [21, 32, 1], [24, 8, 2], [24, 16, 2], [28, 8, 2], [28, 16, 2], [42, 32, 3], [56, 16, 2], [56, 32, 2], [84, 32, 2], [84, 64, 2], [168, 64, 2], [168, 128, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 4]], "cusp_widths": [[4, 4], [8, 4]], "psl2label": "8.48.1.b.1", "sl2label": "8.48.1.b.1", "CPlabel": "8G1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [2, 48], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 7], "num_bad_primes": 3, "level_radical": 42, "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": ["24.24.1.d.1", "56.24.0.i.1", "168.24.0.t.2"]}