# Data for modular curve with label 40.12.0-4.b.1.3, downloaded from the LMFDB on 11 May 2024.
{"label": "40.12.0-4.b.1.3", "coarse_level": 4, "coarse_index": 6, "genus": 0, "coarse_label": "4.6.0.b.1", "coarse_class": "4.6.0.b", "coarse_class_num": 2, "coarse_num": 1, "level": 40, "index": 12, "fine_num": 3, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[3, 4, 7, 23], [19, 10, 28, 1], [21, 10, 4, 19], [39, 8, 9, 11]], "canonical_generators": [[5, 4, 36, 37], [16, 25, 25, 26], [19, 0, 0, 39], [23, 0, 0, 39], [24, 5, 15, 14], [24, 15, 5, 14], [39, 0, 36, 39], [39, 36, 0, 39]], "parents": [], "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", "4.6.0.b.1"], "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": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 4, "sl2level": 8, "rational_cusps": 1, "cusp_orbits": [[1, 1], [2, 1]], "cusp_widths": [[1, 2], [4, 1]], "psl2label": "4.6.0.a.1", "sl2label": "8.12.0-4.a.1.2", "CPlabel": "4B0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.12.0.22", "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": [-4], "obstructions": [], "pointless": false, "num_known_degree1_points": 11630, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [31, 1, 8, 9], "has_obstruction": -1, "num_known_degree1_noncusp_points": 11629, "num_known_degree1_noncm_points": 11628, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.3.0.a.1"]}