# Data for modular curve with label 40.240.5-40.cx.1.4, downloaded from the LMFDB on 02 June 2024.
{"label": "40.240.5-40.cx.1.4", "coarse_level": 40, "coarse_index": 120, "genus": 5, "coarse_label": "40.120.5.cx.1", "coarse_class": "40.120.5.cx", "coarse_class_num": 76, "coarse_num": 1, "level": 40, "index": 240, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[6, 37, 15, 38], [21, 16, 10, 27], [31, 25, 10, 1]], "canonical_generators": [[0, 1, 21, 25], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 30, 31], [36, 25, 35, 31], [39, 37, 7, 24], [39, 37, 32, 39], [39, 37, 37, 24]], "parents": ["5.120.0-5.a.1.2", "40.48.1-40.cj.1.7", "40.48.1-40.cj.2.3", "40.120.0-5.a.1.6"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "5.120.0-5.a.1.2", "5.120.0-5.a.1.2", "5.120.0-5.a.1.2"], "factorization": [], "orbits": [[2, 3, 1], [4, 12, 1], [5, 1, 4], [5, 4, 5], [8, 48, 1], [10, 3, 4], [10, 12, 5], [20, 12, 4], [20, 48, 5], [40, 48, 4], [40, 192, 5]], "kummer_orbits": [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [8, 24, 1], [10, 3, 2], [10, 6, 1], [10, 12, 2], [20, 12, 2], [20, 24, 1], [20, 48, 2], [40, 48, 2], [40, 96, 1], [40, 192, 2]], "isogeny_orbits": [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 4, 1], [8, 12, 1], [10, 3, 2], [10, 12, 1], [20, 6, 2], [20, 24, 1], [40, 12, 2], [40, 48, 1]], "psl2index": 120, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 10, "sl2level": 10, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1], [4, 2]], "cusp_widths": [[10, 12]], "psl2label": "10.120.5.b.1", "sl2label": "10.240.5-10.b.1.1", "CPlabel": "10A5", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.240.5.2", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 4, "newforms": ["320.2.a.a", "1600.2.a.w", "1600.2.c.e"], "dims": [1, 1, 2], "mults": [1, 2, 1], "traces": [0, 2, 1, 2, 0, 2, 6, -4, 6, -6, 20, 2, 30, 10, -6, -6, 12, -10, -2, 60, -2, -8, -6, -6, -2, -30, 14, 6, -2, 6, 2, 0, -18, -4, 6, -100, -22, 10, 18, -6, -12, 50, 60, -26, 18, -8, -80, -10, 6, -14, 6, 24, 70, 0, 6, -18, -18, -100, 26, 30, -14, -30, -2, -60, 22, -6, 40, -2, 30, 10, -18, -24, -22, 26, -28, 6, 6, 2, -150, -34, 36, -130, -180, -2, -8, -6, 6, -26, -150, 14, 30, 24, 26, 0, -4, -18, -6, -30, -14, -70, -26, -30, 18, 30, 40, 22, 6, -18, 0, -50, -22, 2, 6, 20, 140, -90, -14, 42, 42, 36, 110, 46, 18, 42, 40, 150, 34, 24, -46, -22, 20, 6, 20, -22, 210, 2, -30, -26, 42, -6, -80, 270, 38, 30, -2, 48, 50, -18, -4, 6, 26, -90, -14, 18, 46, -60, 16, -42, 22, 90, -18, 6, -22, -120, -18, -18, 20, 26], "trace_hash": 676114446663125499, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 30], [5, 9]], "log_conductor": {"__RealLiteral__": 0, "data": "35.27935662870526265392", "prec": 77}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 5], "num_bad_primes": 2, "level_radical": 10, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 1, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [33, 0, 39, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["5.60.0.a.1", "40.24.1.cj.1", "40.24.1.cj.2", "40.60.2.f.1", "40.60.3.bd.1"]}