# Data for modular curve with label 40.96.1.bs.2, downloaded from the LMFDB on 03 June 2024.
{"label": "40.96.1.bs.2", "coarse_level": 40, "coarse_index": 96, "genus": 1, "coarse_label": "40.96.1.bs.2", "coarse_class": "40.96.1.bs", "coarse_class_num": 45, "coarse_num": 2, "level": 40, "index": 96, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[7, 0, 28, 23], [7, 16, 38, 23], [11, 32, 38, 29], [35, 12, 12, 7]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 20, 1], [1, 8, 0, 1], [1, 8, 6, 25], [3, 4, 8, 33], [3, 8, 4, 13], [5, 4, 12, 31], [9, 8, 32, 33], [31, 0, 20, 31]], "parents": ["8.48.0.g.1", "40.48.0.i.1", "40.48.0.j.1", "40.48.0.z.2", "40.48.1.bg.1", "40.48.1.bh.2", "40.48.1.bs.1"], "parents_conj": [[34, 5, 1, 29], [21, 36, 9, 3], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [7, 24, 29, 19], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "8.48.0.g.1", "20.24.0.c.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [8, 8, 2], [8, 16, 2], [10, 24, 3], [20, 48, 2], [20, 96, 2], [40, 192, 2], [40, 384, 2]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [8, 4, 2], [8, 8, 2], [10, 12, 3], [20, 24, 2], [20, 48, 2], [40, 96, 2], [40, 192, 2]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [20, 6, 2], [20, 12, 2], [40, 12, 2], [40, 24, 2]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[4, 4]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.96.1.a.1", "CPlabel": "8K1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "40.96.1.476", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["1600.2.a.n"], "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": 159245006972566889, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6], [5, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "7.37775890822787260570", "prec": 74}, "q_gonality": null, "q_gonality_bounds": [2, 4], "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": ["1.1.0.a.1", "2.2.0.a.1", "2.3.0.a.1", "2.6.0.a.1", "4.6.0.c.1", "4.6.0.d.1", "4.12.0.b.1", "8.12.0.m.1", "8.12.0.p.1", "8.24.0.d.1", "8.24.0.d.2", "8.24.0.h.1", "8.48.0.g.1", "20.6.0.b.1", "20.6.0.c.1", "20.6.0.d.1", "20.6.0.e.1", "20.12.0.a.1", "20.12.0.b.1", "20.24.0.c.1", "40.12.0.bz.1", "40.12.1.e.1", "40.24.0.h.2", "40.24.0.i.2", "40.24.1.d.1", "40.48.0.i.1", "40.48.0.j.1", "40.48.0.z.2", "40.48.1.bg.1", "40.48.1.bh.2", "40.48.1.bs.1", "40.96.1.bs.2"], "lattice_x": [3429, 2667, 4191, 2809, 8032, 6333, 4556, 8429, 9571, 6143, 5000, 8429, 8429, 429, 5191, 4048, 1571, 1571, 2889, 1571, 7286, 6143, 3857, 2714, 7286, 2714, 1571, 3857, 6143, 5000, 7286, 5000], "curve_label": null, "canonical_conjugator": [3, 0, 7, 21], "has_obstruction": 1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": 2, "all_degree1_points_known": null}