# Data for modular curve with label 168.192.3-168.pw.2.7, downloaded from the LMFDB on 11 June 2024.
{"label": "168.192.3-168.pw.2.7", "coarse_level": 168, "coarse_index": 96, "genus": 3, "coarse_label": "168.96.3.pw.2", "coarse_class": "168.96.3.pw", "coarse_class_num": 413, "coarse_num": 2, "level": 168, "index": 192, "fine_num": 7, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[49, 122, 138, 113], [55, 140, 120, 71], [74, 105, 77, 130], [122, 81, 41, 142], [157, 150, 120, 79]], "canonical_generators": [[0, 1, 19, 162], [0, 1, 103, 90], [0, 1, 103, 162], [0, 157, 139, 6], [0, 163, 55, 132], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 144, 145], [48, 35, 133, 62], [48, 119, 49, 62], [120, 35, 133, 134]], "parents": ["12.96.0-12.c.3.3", "168.96.0-12.c.3.10", "168.96.1-168.zs.1.6", "168.96.1-168.zs.1.21", "168.96.2-168.g.1.7", "168.96.2-168.g.1.17"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "6.24.0-6.a.1.2", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "56.12.0.y.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [7, 48, 1], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [14, 48, 1], [14, 96, 1], [21, 96, 1], [21, 144, 2], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [28, 96, 2], [28, 384, 1], [42, 96, 1], [42, 144, 2], [42, 192, 1], [42, 288, 2], [56, 384, 2], [56, 1536, 1], [84, 192, 2], [84, 288, 4], [84, 384, 2], [84, 1152, 2], [168, 768, 2], [168, 1152, 4], [168, 1536, 2], [168, 4608, 2]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [14, 24, 1], [14, 48, 1], [21, 48, 1], [21, 144, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [28, 48, 2], [28, 192, 1], [42, 48, 1], [42, 96, 1], [42, 144, 1], [42, 288, 1], [56, 192, 2], [56, 768, 1], [84, 96, 2], [84, 192, 2], [84, 288, 2], [84, 1152, 1], [168, 384, 2], [168, 768, 2], [168, 1152, 2], [168, 4608, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [14, 8, 1], [14, 16, 1], [21, 8, 1], [21, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [28, 8, 2], [28, 32, 1], [42, 8, 1], [42, 16, 1], [42, 24, 1], [42, 48, 1], [56, 16, 2], [56, 64, 1], [84, 8, 2], [84, 24, 2], [84, 32, 1], [84, 96, 1], [168, 16, 2], [168, 48, 2], [168, 64, 1], [168, 192, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 24, "sl2level": 24, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 5]], "cusp_widths": [[2, 4], [6, 4], [8, 2], [24, 2]], "psl2label": "24.96.3.g.1", "sl2label": "24.96.3.g.1", "CPlabel": "24W3", "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": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [2, 3], "qbar_gonality": null, "qbar_gonality_bounds": [2, 3], "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": ["12.48.0.c.3", "168.48.1.zs.1", "168.48.2.g.1"]}