# Data for modular curve with label 20.240.5-20.u.1.4, downloaded from the LMFDB on 02 June 2024.
{"label": "20.240.5-20.u.1.4", "coarse_level": 20, "coarse_index": 120, "genus": 5, "coarse_label": "20.120.5.u.1", "coarse_class": "20.120.5.u", "coarse_class_num": 21, "coarse_num": 1, "level": 20, "index": 240, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[11, 3, 0, 7], [16, 1, 5, 13]], "canonical_generators": [[0, 9, 17, 13], [0, 19, 7, 3], [0, 19, 17, 8], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 10, 11], [16, 5, 15, 11]], "parents": ["5.120.0-5.a.1.2", "20.48.1-20.e.1.4", "20.48.1-20.e.2.4", "20.120.0-5.a.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "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], [10, 3, 4], [10, 12, 5], [20, 12, 4], [20, 48, 5]], "kummer_orbits": [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 2, 1], [5, 4, 2], [10, 3, 2], [10, 6, 1], [10, 12, 2], [20, 12, 2], [20, 24, 1], [20, 48, 2]], "isogeny_orbits": [[2, 3, 1], [4, 6, 1], [5, 1, 2], [5, 4, 1], [10, 3, 2], [10, 12, 1], [20, 6, 2], [20, 24, 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": "20.240.5.1", "Glabel": "192.972", "name": null, "rank": 0, "genus_minus_rank": 5, "newforms": ["80.2.a.b", "400.2.a.c", "400.2.c.b"], "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": 317548996665611687, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 20], [5, 9]], "log_conductor": {"__RealLiteral__": 0, "data": "28.34788482310580955975", "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": [3, 0, 19, 19], "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", "20.24.1.e.1", "20.24.1.e.2", "20.60.2.c.1", "20.60.3.k.1"]}