# Data for modular curve with label 40.24.0-40.p.1.4, downloaded from the LMFDB on 05 June 2024.
{"label": "40.24.0-40.p.1.4", "coarse_level": 40, "coarse_index": 12, "genus": 0, "coarse_label": "40.12.0.p.1", "coarse_class": "40.12.0.p", "coarse_class_num": 16, "coarse_num": 1, "level": 40, "index": 24, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[3, 2, 3, 35], [15, 22, 24, 13], [33, 22, 39, 25]], "canonical_generators": [[1, 0, 4, 1], [1, 0, 10, 1], [1, 2, 3, 17], [1, 2, 3, 25], [1, 2, 15, 1], [29, 0, 30, 29], [35, 36, 4, 3], [39, 32, 39, 15], [39, 36, 0, 39], [39, 36, 35, 39]], "parents": ["8.12.0-4.b.1.4", "40.12.0-4.b.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.b.1", "4.6.0.b.1", "8.12.0-4.b.1.4"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [20, 96, 1], [20, 192, 1], [40, 384, 1], [40, 768, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [20, 48, 1], [20, 96, 1], [40, 192, 1], [40, 384, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [20, 12, 1], [20, 24, 1], [40, 24, 1], [40, 48, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 4, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2]], "cusp_widths": [[2, 2], [4, 2]], "psl2label": "4.12.0.a.1", "sl2label": "8.24.0-4.a.1.2", "CPlabel": "4E0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.24.0.290", "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": null, "q_gonality_bounds": [1, 2], "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": null, "num_known_degree1_points": 29, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": 28, "num_known_degree1_noncm_points": 28, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.6.0.b.1", "40.6.0.b.1", "40.6.0.e.1"]}