# Data for modular curve with label 40.144.1-40.bf.1.3, downloaded from the LMFDB on 31 May 2024.
{"label": "40.144.1-40.bf.1.3", "coarse_level": 40, "coarse_index": 72, "genus": 1, "coarse_label": "40.72.1.bf.1", "coarse_class": "40.72.1.bf", "coarse_class_num": 32, "coarse_num": 1, "level": 40, "index": 144, "fine_num": 3, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[7, 7, 4, 35], [19, 2, 32, 9], [33, 11, 34, 25], [39, 25, 30, 29]], "canonical_generators": [[0, 1, 23, 2], [0, 1, 29, 18], [0, 31, 19, 38], [0, 31, 29, 38], [1, 0, 10, 1], [1, 10, 0, 1], [9, 38, 32, 33], [11, 10, 30, 31]], "parents": ["10.72.0-10.a.2.4", "40.48.1-40.cp.1.8", "40.72.0-10.a.2.6"], "parents_conj": null, "reductions": ["2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "5.12.0.a.1", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [8, 16, 1], [8, 32, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1], [20, 8, 6], [20, 80, 1], [20, 160, 1], [40, 32, 6], [40, 320, 1], [40, 640, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [8, 8, 1], [8, 16, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [40, 16, 2], [40, 32, 2], [40, 160, 1], [40, 320, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [8, 4, 1], [8, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [40, 4, 1], [40, 8, 1], [40, 20, 1], [40, 40, 1]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 10, "sl2level": 10, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 1]], "cusp_widths": [[2, 6], [10, 6]], "psl2label": "10.72.1.a.1", "sl2label": "10.144.1-10.a.1.1", "CPlabel": "10K1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.144.1.35", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["1600.2.a.c"], "dims": [1], "mults": [1], "traces": [0, -2, 0, -2, 0, 2, 6, 4, -6, -6, -4, 2, 6, -10, 6, -6, -12, -2, 2, -12, -2, 8, 6, -6, -2, -6, -14, -6, -2, 6, -2, 0, -18, 4, 6, 20, -22, -10, -18, -6, 12, 10, -12, -26, 18, 8, 16, 10, -6, -14, 6, -24, 14, 0, 6, 18, -18, 20, 26, 6, 14, -30, 2, 12, 22, -6, -8, -2, -30, 10, -18, 24, 22, 26, 28, -6, 6, 2, -30, -34, -36, -26, 36, -2, 8, 6, 6, -26, -30, -14, -30, -24, -26, 0, 4, 18, -6, -6, 14, -14, 26, -30, -18, 30, -8, 22, -6, -18, 0, -10, 22, 2, 6, -20, -28, -18, 14, -42, 42, -36, 22, 46, 18, -42, -8, 30, 34, -24, 46, -22, -20, -6, -4, -22, 42, 2, -30, 26, 42, -6, 16, 54, -38, -30, -2, -48, 50, -18, 4, -6, 26, -18, 14, -18, -46, 12, -16, -42, 22, 18, 18, 6, 22, 24, -18, 18, -4, 26], "trace_hash": 1582704361301833428, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "7.37775890822787260570", "prec": 74}, "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": 2, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [0, 17, 39, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 2, "num_known_degree1_noncm_points": 2, "models": null, "all_degree1_points_known": null, "coarse_parents": ["10.36.0.a.2", "40.24.1.cp.1", "40.36.0.e.1", "40.36.1.f.1"]}