# Data for modular curve with label 80.48.0-40.cb.2.16, downloaded from the LMFDB on 23 May 2024. {"label": "80.48.0-40.cb.2.16", "coarse_level": 40, "coarse_index": 24, "genus": 0, "coarse_label": "40.24.0.cb.2", "coarse_class": "40.24.0.cb", "coarse_class_num": 54, "coarse_num": 2, "level": 80, "index": 48, "fine_num": 16, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[5, 34, 4, 11], [35, 74, 68, 41], [50, 31, 31, 18], [59, 0, 66, 33], [64, 57, 47, 10]], "canonical_generators": [[0, 67, 69, 54], [0, 73, 43, 78], [0, 73, 47, 74], [0, 77, 49, 44], [0, 79, 49, 54], [9, 8, 32, 33], [16, 25, 15, 26], [39, 0, 0, 79], [41, 40, 40, 41], [64, 65, 55, 74], [79, 0, 40, 79], [79, 0, 72, 79], [79, 40, 0, 79], [79, 72, 0, 79]], "parents": ["16.24.0-8.n.1.8", "80.24.0-8.n.1.6"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.8", "40.24.0.cb.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [80, 192, 2], [80, 384, 1], [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": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 2], [2, 1], [4, 1], [8, 2]], "psl2label": "8.24.0.c.1", "sl2label": "8.24.0.c.1", "CPlabel": "8I0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 5], "num_bad_primes": 2, "level_radical": 10, "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": ["8.12.0.n.1"]}