# Data for modular curve with label 40.192.1-40.b.2.2, downloaded from the LMFDB on 10 June 2024.
{"label": "40.192.1-40.b.2.2", "coarse_level": 40, "coarse_index": 96, "genus": 1, "coarse_label": "40.96.1.b.2", "coarse_class": "40.96.1.b", "coarse_class_num": 2, "coarse_num": 2, "level": 40, "index": 192, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[13, 0, 6, 3], [19, 8, 6, 33], [25, 36, 18, 19], [37, 20, 8, 9]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 20, 1], [1, 4, 32, 5], [1, 8, 0, 1], [3, 4, 8, 13], [5, 4, 12, 31], [9, 0, 20, 9], [9, 8, 32, 33], [37, 36, 32, 7]], "parents": ["8.96.0-8.a.1.5", "40.96.0-8.a.1.1", "40.96.0-40.b.2.10", "40.96.0-40.b.2.17", "40.96.0-40.u.1.4", "40.96.0-40.u.1.9", "40.96.0-40.v.2.6", "40.96.0-40.v.2.11", "40.96.1-40.o.2.5", "40.96.1-40.o.2.9", "40.96.1-40.bc.1.3", "40.96.1-40.bc.1.16", "40.96.1-40.bd.1.3", "40.96.1-40.bd.1.14"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.24.0.b.1", "4.24.0.b.1", "8.96.0-8.a.1.5"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 4], [4, 4, 1], [5, 24, 1], [8, 4, 2], [8, 8, 3], [8, 16, 1], [10, 24, 3], [20, 48, 4], [20, 96, 1], [40, 96, 2], [40, 192, 3], [40, 384, 1]], "kummer_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [5, 12, 1], [8, 4, 4], [8, 8, 1], [10, 12, 3], [20, 24, 4], [20, 48, 1], [40, 96, 4], [40, 192, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [5, 6, 1], [8, 2, 4], [8, 4, 1], [10, 6, 3], [20, 6, 4], [20, 12, 1], [40, 12, 4], [40, 24, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 3]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.192.1-8.a.1.1", "CPlabel": "8K1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.192.1.310", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["800.2.a.d"], "dims": [1], "mults": [1], "traces": [0, 0, 0, 0, 0, -6, -2, 0, 0, -10, 0, 2, 10, 0, 0, -14, 0, -10, 0, 0, 6, 0, 0, 10, -18, -2, 0, 0, 6, 14, 0, 0, 22, 0, 14, 0, -22, 0, 0, 26, 0, -18, 0, 14, 2, 0, 0, 0, 0, 30, -26, 0, -30, 0, -2, 0, -26, 0, 18, 10, 0, 34, 0, 0, -26, -22, 0, -18, 0, -10, -34, 0, 0, -14, 0, 0, -34, -38, 2, -6, 0, 30, 0, -34, 0, 0, -14, -42, 38, 0, 0, 0, 0, 0, 0, 0, -10, -22, 0, -42, 0, -38, 0, 26, 0, -2, 0, 46, 0, 10, 0, 34, 38, 0, 0, 50, 0, 0, 26, 0, -50, 46, 2, 0, 0, -10, 30, 0, 0, -54, 0, 0, 0, 18, -38, 50, 34, 0, -22, 10, 0, -50, 0, 0, 54, 0, -46, -58, 0, 0, 58, 50, 0, 0, 0, 0, 0, -46, 38, -58, 0, -26, 0, 0, 62, 0, 0, -62], "trace_hash": 900396840685726423, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 5], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "6.68461172766792729629", "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": [0], "pointless": true, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [31, 0, 15, 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": ["8.48.0.a.1", "40.48.0.b.2", "40.48.0.u.1", "40.48.0.v.2", "40.48.1.o.2", "40.48.1.bc.1", "40.48.1.bd.1"]}