# Data for modular curve with label 40.12.0-2.a.1.1, downloaded from the LMFDB on 12 May 2024.
{"label": "40.12.0-2.a.1.1", "coarse_level": 2, "coarse_index": 6, "genus": 0, "coarse_label": "2.6.0.a.1", "coarse_class": "2.6.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 40, "index": 12, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[17, 30, 36, 21], [27, 38, 28, 33], [31, 0, 14, 7], [31, 28, 4, 3], [33, 28, 34, 11]], "canonical_generators": [[1, 0, 2, 1], [1, 2, 0, 1], [9, 0, 0, 39], [19, 0, 0, 39], [23, 0, 0, 39], [37, 38, 2, 1]], "parents": [], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 4, 3], [5, 24, 1], [8, 16, 3], [10, 24, 3], [20, 96, 3], [40, 384, 3]], "kummer_orbits": [[2, 1, 3], [4, 2, 3], [5, 12, 1], [8, 8, 3], [10, 12, 3], [20, 48, 3], [40, 192, 3]], "isogeny_orbits": [[2, 1, 3], [4, 2, 3], [5, 6, 1], [8, 4, 3], [10, 6, 3], [20, 12, 3], [40, 24, 3]], "psl2index": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 2, "sl2level": 4, "rational_cusps": 3, "cusp_orbits": [[1, 3]], "cusp_widths": [[2, 3]], "psl2label": "2.6.0.a.1", "sl2label": "4.12.0-2.a.1.1", "CPlabel": "2C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.12.0.1", "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": 31721, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [2, 13, 5, 38], "has_obstruction": -1, "num_known_degree1_noncusp_points": 31720, "num_known_degree1_noncm_points": 31719, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.2.0.a.1", "2.3.0.a.1"]}