# Data for modular curve with label 168.48.0-24.bk.1.8, downloaded from the LMFDB on 31 May 2024. {"label": "168.48.0-24.bk.1.8", "coarse_level": 24, "coarse_index": 24, "genus": 0, "coarse_label": "24.24.0.bk.1", "coarse_class": "24.24.0.bk", "coarse_class_num": 37, "coarse_num": 1, "level": 168, "index": 48, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[9, 32, 113, 89], [107, 12, 60, 37], [135, 104, 2, 5], [155, 4, 107, 59]], "canonical_generators": [[1, 0, 24, 1], [1, 0, 42, 1], [1, 0, 56, 1], [1, 24, 0, 1], [1, 56, 0, 1], [25, 24, 144, 145], [57, 56, 112, 113], [85, 0, 42, 85], [95, 0, 0, 167], [125, 0, 126, 125], [167, 0, 119, 55], [167, 0, 119, 125], [167, 112, 119, 69], [167, 140, 91, 69]], "parents": ["56.24.0-8.m.1.5", "84.24.0-12.h.1.1", "168.24.0-8.m.1.1", "168.24.0-12.h.1.5", "168.24.0-24.y.1.2", "168.24.0-24.y.1.5"], "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", "8.12.0.m.1", "12.12.0.h.1", "24.24.0.bk.1", "28.12.0-4.c.1.1", "56.24.0-8.m.1.5", "84.24.0-12.h.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": 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": [], "dims": null, "mults": null, "traces": [], "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, 7], "num_bad_primes": 3, "level_radical": 42, "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": ["8.12.0.m.1", "12.12.0.h.1", "24.12.0.y.1"]}