# Data for modular curve with label 80.96.1-80.cf.1.15, downloaded from the LMFDB on 03 June 2024.
{"label": "80.96.1-80.cf.1.15", "coarse_level": 80, "coarse_index": 48, "genus": 1, "coarse_label": "80.48.1.cf.1", "coarse_class": "80.48.1.cf", "coarse_class_num": 58, "coarse_num": 1, "level": 80, "index": 96, "fine_num": 15, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[26, 61, 47, 60], [55, 58, 6, 11], [62, 17, 69, 50], [73, 8, 44, 61]], "canonical_generators": [[0, 3, 21, 66], [0, 7, 73, 26], [0, 79, 21, 78], [0, 79, 49, 74], [0, 79, 51, 28], [1, 0, 16, 1], [1, 16, 0, 1], [16, 55, 25, 26], [17, 16, 64, 65], [64, 15, 65, 74], [64, 55, 25, 74]], "parents": ["16.48.0-16.f.1.4", "40.48.0-40.cb.2.7", "80.48.0-16.f.1.8", "80.48.0-40.cb.2.6", "80.48.1-80.b.1.29", "80.48.1-80.b.1.30"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.12.0-4.c.1.1", "4.12.0-4.c.1.1", "8.24.0-8.n.1.2", "16.48.0-16.f.1.4", "40.48.0-40.cb.2.7"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1], [5, 24, 1], [8, 2, 4], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [16, 8, 4], [16, 32, 1], [16, 128, 1], [20, 24, 2], [20, 48, 1], [20, 192, 1], [40, 48, 4], [40, 192, 1], [40, 768, 1], [80, 192, 4], [80, 768, 1], [80, 3072, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [40, 48, 2], [40, 96, 1], [40, 384, 1], [80, 192, 2], [80, 384, 1], [80, 1536, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 16, "sl2level": 16, "rational_cusps": 0, "cusp_orbits": [[2, 4]], "cusp_widths": [[2, 4], [4, 2], [16, 2]], "psl2label": "16.48.1.b.1", "sl2label": "16.48.1.b.1", "CPlabel": "16G1", "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, 48], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 5], "num_bad_primes": 2, "level_radical": 10, "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": ["16.24.0.f.1", "40.24.0.cb.2", "80.24.1.b.1"]}