# Data for modular curve with label 168.48.1-168.hk.1.22, downloaded from the LMFDB on 03 June 2024.
{"label": "168.48.1-168.hk.1.22", "coarse_level": 168, "coarse_index": 24, "genus": 1, "coarse_label": "168.24.1.hk.1", "coarse_class": "168.24.1.hk", "coarse_class_num": 193, "coarse_num": 1, "level": 168, "index": 48, "fine_num": 22, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[8, 153, 57, 158], [29, 6, 60, 155], [95, 154, 144, 1], [117, 58, 70, 135], [158, 145, 45, 64]], "canonical_generators": [[0, 1, 125, 58], [0, 1, 151, 120], [0, 167, 23, 6], [0, 167, 65, 6], [0, 167, 65, 78], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 156, 157], [48, 35, 133, 20], [90, 119, 133, 62], [120, 161, 7, 8]], "parents": ["12.24.0-6.a.1.6", "168.24.0-6.a.1.5"], "parents_conj": null, "reductions": ["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", "2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [7, 48, 1], [8, 16, 1], [8, 32, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 288, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [28, 192, 1], [28, 384, 1], [42, 96, 1], [42, 192, 1], [42, 288, 1], [42, 576, 1], [56, 768, 1], [56, 1536, 1], [84, 384, 1], [84, 768, 1], [84, 1152, 1], [84, 2304, 1], [168, 1536, 1], [168, 3072, 1], [168, 4608, 1], [168, 9216, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 24, 1], [8, 8, 1], [8, 16, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [28, 96, 1], [28, 192, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1], [56, 384, 1], [56, 768, 1], [84, 192, 1], [84, 384, 1], [84, 576, 1], [84, 1152, 1], [168, 768, 1], [168, 1536, 1], [168, 2304, 1], [168, 4608, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 8, 1], [8, 4, 1], [8, 8, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [28, 16, 1], [28, 32, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1], [56, 32, 1], [56, 64, 1], [84, 16, 1], [84, 32, 1], [84, 48, 1], [84, 96, 1], [168, 32, 1], [168, 64, 1], [168, 96, 1], [168, 192, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 12, "sl2level": 12, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 1], [4, 1], [6, 1], [12, 1]], "psl2label": "12.24.1.c.1", "sl2label": "12.24.1.c.1", "CPlabel": "12F1", "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": 2, "q_gonality_bounds": [2, 2], "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": [], "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": ["6.12.0.a.1", "168.6.0.e.1"]}