# Data for modular curve with label 168.192.1-168.eh.1.2, downloaded from the LMFDB on 02 June 2024.
{"label": "168.192.1-168.eh.1.2", "coarse_level": 168, "coarse_index": 96, "genus": 1, "coarse_label": "168.96.1.eh.1", "coarse_class": "168.96.1.eh", "coarse_class_num": 112, "coarse_num": 1, "level": 168, "index": 192, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[33, 68, 158, 125], [33, 160, 154, 159], [51, 76, 134, 109], [139, 72, 128, 121]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 84, 1], [1, 4, 52, 147], [1, 4, 76, 75], [1, 8, 0, 1], [1, 8, 26, 63], [3, 8, 68, 33], [9, 8, 160, 161], [41, 0, 84, 41], [163, 160, 134, 151]], "parents": ["8.96.0-8.f.1.4", "168.96.0-8.f.1.5", "168.96.0-168.e.2.2", "168.96.0-168.e.2.8", "168.96.0-168.bs.2.2", "168.96.0-168.bs.2.20", "168.96.0-168.bu.1.11", "168.96.0-168.bu.1.19", "168.96.1-168.v.1.1", "168.96.1-168.v.1.12", "168.96.1-168.dx.2.5", "168.96.1-168.dx.2.26", "168.96.1-168.dz.1.6", "168.96.1-168.dz.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", "4.12.0.b.1", "8.96.0-8.f.1.4", "8.96.0-8.f.1.4", "8.96.0-8.f.1.4", "84.24.0-4.b.1.3"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [7, 48, 1], [8, 4, 4], [8, 8, 4], [12, 16, 2], [12, 32, 2], [14, 48, 3], [21, 384, 1], [24, 32, 4], [24, 64, 4], [28, 96, 2], [28, 192, 2], [42, 384, 3], [56, 192, 4], [56, 384, 4], [84, 768, 2], [84, 1536, 2], [168, 1536, 4], [168, 3072, 4]], "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, 3], [8, 8, 1], [12, 8, 2], [12, 16, 2], [14, 24, 3], [21, 192, 1], [24, 16, 2], [24, 32, 3], [24, 64, 1], [28, 48, 2], [28, 96, 2], [42, 192, 3], [56, 96, 2], [56, 192, 3], [56, 384, 1], [84, 384, 2], [84, 768, 2], [168, 768, 2], [168, 1536, 3], [168, 3072, 1]], "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, 4], [4, 2]], "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": [], "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": ["8.48.0.f.1", "168.48.0.e.2", "168.48.0.bs.2", "168.48.0.bu.1", "168.48.1.v.1", "168.48.1.dx.2", "168.48.1.dz.1"]}