# Data for modular curve with label 168.192.1-168.oj.1.6, downloaded from the LMFDB on 01 June 2024.
{"label": "168.192.1-168.oj.1.6", "coarse_level": 168, "coarse_index": 96, "genus": 1, "coarse_label": "168.96.1.oj.1", "coarse_class": "168.96.1.oj", "coarse_class_num": 374, "coarse_num": 1, "level": 168, "index": 192, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[11, 104, 102, 65], [13, 20, 98, 27], [85, 48, 156, 25], [149, 136, 10, 121]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 84, 1], [1, 4, 52, 147], [1, 4, 76, 75], [1, 8, 0, 1], [7, 4, 10, 99], [9, 8, 160, 161], [41, 0, 84, 41], [161, 164, 90, 139], [165, 164, 86, 107]], "parents": ["24.96.0-24.w.2.1", "56.96.0-56.n.1.9", "168.96.0-24.w.2.10", "168.96.0-56.n.1.1", "168.96.0-168.v.2.4", "168.96.0-168.v.2.23", "168.96.0-168.cr.2.2", "168.96.0-168.cr.2.22", "168.96.1-168.ef.1.2", "168.96.1-168.ef.1.31", "168.96.1-168.eg.2.15", "168.96.1-168.eg.2.29", "168.96.1-168.ff.1.10", "168.96.1-168.ff.1.15"], "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", "8.48.0-8.e.2.6", "12.24.0-4.b.1.3", "12.24.0-4.b.1.3", "24.96.0-24.w.2.1", "56.96.0-56.n.1.9"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 2, 4], [8, 8, 1], [8, 16, 2], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 16, 4], [24, 64, 1], [24, 128, 2], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 96, 4], [56, 384, 1], [56, 768, 2], [84, 768, 2], [84, 1536, 2], [168, 768, 4], [168, 3072, 1], [168, 6144, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 16, 2], [24, 32, 1], [24, 64, 2], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 96, 2], [56, 192, 1], [56, 384, 2], [84, 384, 2], [84, 768, 2], [168, 768, 2], [168, 1536, 1], [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": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 3]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.96.1.a.1", "CPlabel": "8K1", "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, 96], "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": ["24.48.0.w.2", "56.48.0.n.1", "168.48.0.v.2", "168.48.0.cr.2", "168.48.1.ef.1", "168.48.1.eg.2", "168.48.1.ff.1"]}