# Data for modular curve with label 40.48.0-8.e.1.5, downloaded from the LMFDB on 15 May 2024.
{"label": "40.48.0-8.e.1.5", "coarse_level": 8, "coarse_index": 24, "genus": 0, "coarse_label": "8.24.0.e.1", "coarse_class": "8.24.0.e", "coarse_class_num": 5, "coarse_num": 1, "level": 40, "index": 48, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 28, 14, 15], [17, 8, 24, 19], [31, 0, 32, 19], [33, 4, 20, 13], [39, 28, 24, 1]], "canonical_generators": [[1, 0, 0, 11], [1, 0, 8, 1], [1, 0, 10, 21], [1, 8, 0, 1], [1, 20, 10, 1], [9, 8, 32, 33], [23, 0, 0, 39], [31, 0, 10, 31], [31, 20, 10, 11], [39, 0, 30, 39]], "parents": ["40.24.0-4.b.1.8", "40.24.0-4.b.1.9"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "8.24.0.e.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 8, 4], [8, 16, 1], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 192, 4], [40, 384, 1]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [20, 24, 2], [20, 48, 2], [40, 96, 4], [40, 192, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [20, 6, 2], [20, 12, 2], [40, 12, 2], [40, 24, 2]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 1]], "cusp_widths": [[2, 2], [4, 3], [8, 1]], "psl2label": "8.24.0.a.1", "sl2label": "8.48.0-8.a.1.3", "CPlabel": "8J0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.48.0.301", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 0, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": 0, "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": 221, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 220, "num_known_degree1_noncm_points": 220, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.12.0.b.1"]}