# Data for modular curve with label 176.192.2-176.c.1.1, downloaded from the LMFDB on 02 June 2024.
{"label": "176.192.2-176.c.1.1", "coarse_level": 176, "coarse_index": 96, "genus": 2, "coarse_label": "176.96.2.c.1", "coarse_class": "176.96.2.c", "coarse_class_num": 3, "coarse_num": 1, "level": 176, "index": 192, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "16.8.1", "generators": [[17, 4, 16, 55], [57, 44, 132, 9], [73, 32, 140, 33], [81, 0, 28, 39], [145, 8, 88, 125]], "canonical_generators": [[1, 0, 16, 1], [1, 0, 132, 1], [1, 4, 24, 99], [1, 4, 40, 163], [1, 16, 0, 1], [1, 132, 0, 1], [9, 4, 68, 171], [9, 4, 72, 157], [17, 16, 160, 161], [65, 44, 44, 65]], "parents": ["8.96.0-8.c.1.1", "176.96.0-8.c.1.4"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.48.0-4.b.1.1", "4.48.0-4.b.1.1", "8.96.0-8.c.1.1", "8.96.0-8.c.1.1", "8.96.0-8.c.1.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 4], [8, 2, 8], [8, 8, 4], [11, 120, 1], [16, 8, 8], [16, 32, 4], [22, 120, 3], [44, 120, 4], [44, 240, 4], [88, 240, 8], [88, 960, 4], [176, 960, 8], [176, 3840, 4]], "kummer_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 2], [8, 8, 1], [11, 60, 1], [16, 8, 4], [16, 16, 2], [16, 32, 1], [22, 60, 3], [44, 120, 4], [44, 240, 1], [88, 240, 4], [88, 480, 2], [88, 960, 1], [176, 960, 4], [176, 1920, 2], [176, 3840, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [8, 2, 4], [8, 4, 1], [11, 12, 1], [16, 4, 4], [16, 8, 1], [22, 12, 3], [44, 12, 4], [44, 24, 1], [88, 24, 4], [88, 48, 1], [176, 48, 4], [176, 96, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 14, "psl2level": 16, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 4], [4, 1]], "cusp_widths": [[4, 8], [8, 4], [16, 2]], "psl2label": "16.96.2.a.1", "sl2label": "16.96.2.a.1", "CPlabel": "16I2", "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": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 11], "num_bad_primes": 2, "level_radical": 22, "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": ["8.48.0.c.1"]}