# Data for modular curve with label 16.24.0-8.n.1.8, downloaded from the LMFDB on 11 May 2024.
{"label": "16.24.0-8.n.1.8", "coarse_level": 8, "coarse_index": 12, "genus": 0, "coarse_label": "8.12.0.n.1", "coarse_class": "8.12.0.n", "coarse_class_num": 14, "coarse_num": 1, "level": 16, "index": 24, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[1, 1, 0, 1], [1, 4, 0, 5], [3, 6, 8, 3], [7, 7, 8, 7], [15, 0, 0, 5]], "canonical_generators": [[0, 1, 5, 4], [0, 3, 5, 6], [0, 5, 3, 2], [0, 13, 15, 14], [0, 15, 9, 14], [0, 15, 13, 10], [7, 0, 0, 15], [9, 8, 8, 9], [15, 0, 8, 15], [15, 8, 0, 15]], "parents": [], "parents_conj": null, "reductions": ["2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 16, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[1, 2], [2, 1], [8, 1]], "psl2label": "8.12.0.a.1", "sl2label": "16.24.0-8.a.1.2", "CPlabel": "8C0", "Slabel": null, "SZlabel": null, "RZBlabel": "X36m", "RSZBlabel": "16.24.0.4", "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], "num_bad_primes": 1, "level_radical": 2, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 5200, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 15, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 5199, "num_known_degree1_noncm_points": 5199, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.6.0.c.1"]}