# Data for modular curve with label 280.192.3-280.cc.2.1, downloaded from the LMFDB on 11 June 2024.
{"label": "280.192.3-280.cc.2.1", "coarse_level": 280, "coarse_index": 96, "genus": 3, "coarse_label": "280.96.3.cc.2", "coarse_class": "280.96.3.cc", "coarse_class_num": 55, "coarse_num": 2, "level": 280, "index": 192, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 128, 76, 169], [33, 76, 232, 85], [75, 158, 244, 265], [131, 98, 208, 57], [187, 96, 20, 87]], "canonical_generators": [[1, 0, 8, 1], [1, 2, 48, 35], [1, 2, 208, 75], [1, 6, 80, 91], [1, 8, 0, 1], [1, 140, 140, 1], [3, 2, 220, 173], [3, 6, 64, 257], [9, 8, 272, 273], [209, 140, 140, 209], [275, 272, 8, 39]], "parents": ["40.96.0-40.b.2.10", "56.96.1-56.n.2.24", "280.96.0-40.b.2.20", "280.96.1-56.n.2.7", "280.96.2-280.a.1.16", "280.96.2-280.a.1.35"], "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", "4.24.0.b.1", "4.24.0.b.1", "4.24.0.b.1", "4.24.0.b.1", "8.48.0-4.b.1.4", "40.96.0-40.b.2.10", "56.96.1-56.n.2.24"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 4], [4, 4, 1], [5, 24, 1], [7, 48, 1], [8, 4, 2], [8, 8, 3], [8, 16, 1], [10, 24, 3], [14, 48, 3], [20, 48, 4], [20, 96, 1], [28, 96, 4], [28, 192, 1], [35, 1152, 1], [40, 96, 2], [40, 192, 3], [40, 384, 1], [56, 192, 2], [56, 384, 3], [56, 768, 1], [70, 1152, 3], [140, 2304, 4], [140, 4608, 1], [280, 4608, 2], [280, 9216, 3], [280, 18432, 1]], "kummer_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [5, 12, 1], [7, 24, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [14, 24, 3], [20, 24, 4], [20, 48, 1], [28, 48, 4], [28, 96, 1], [35, 576, 1], [40, 96, 4], [40, 192, 1], [56, 192, 4], [56, 384, 1], [70, 576, 3], [140, 1152, 4], [140, 2304, 1], [280, 4608, 4], [280, 9216, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [5, 6, 1], [7, 8, 1], [8, 2, 4], [8, 4, 1], [10, 6, 3], [14, 8, 3], [20, 6, 4], [20, 12, 1], [28, 8, 4], [28, 16, 1], [35, 48, 1], [40, 12, 4], [40, 24, 1], [56, 16, 4], [56, 32, 1], [70, 48, 3], [140, 48, 4], [140, 96, 1], [280, 96, 4], [280, 192, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 4], [4, 1]], "cusp_widths": [[8, 12]], "psl2label": "8.96.3.b.1", "sl2label": "8.96.3.b.1", "CPlabel": "8B3", "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, 4], "qbar_gonality": null, "qbar_gonality_bounds": [2, 3], "bad_primes": [2, 5, 7], "num_bad_primes": 3, "level_radical": 70, "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": ["40.48.0.b.2", "56.48.1.n.2", "280.48.2.a.1"]}