# Data for modular curve with label 16.96.1-16.s.2.7, downloaded from the LMFDB on 03 June 2024.
{"label": "16.96.1-16.s.2.7", "coarse_level": 16, "coarse_index": 48, "genus": 1, "coarse_label": "16.48.1.s.2", "coarse_class": "16.48.1.s", "coarse_class_num": 19, "coarse_num": 2, "level": 16, "index": 96, "fine_num": 7, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[5, 6, 8, 9], [5, 10, 0, 11], [13, 3, 0, 7]], "canonical_generators": [[0, 3, 9, 6], [0, 7, 9, 10], [0, 11, 1, 6], [0, 15, 1, 10], [0, 15, 3, 12]], "parents": ["8.48.0-8.ba.2.2", "16.48.0-8.ba.2.2", "16.48.0-16.f.1.4", "16.48.0-16.f.1.8", "16.48.1-16.a.1.8", "16.48.1-16.a.1.15"], "parents_conj": null, "reductions": ["2.3.0.a.1", "4.12.0-4.c.1.1", "8.48.0-8.ba.2.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 2, 1], [4, 8, 1], [8, 2, 4], [8, 8, 1], [8, 16, 2], [16, 8, 4], [16, 32, 1], [16, 64, 2]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 16, "sl2level": 16, "rational_cusps": 0, "cusp_orbits": [[2, 4]], "cusp_widths": [[2, 4], [4, 2], [16, 2]], "psl2label": "16.48.1.b.1", "sl2label": "16.96.1-16.b.1.3", "CPlabel": "16G1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "16.96.1.83", "Glabel": "256.6107", "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["64.2.a.a"], "dims": [1], "mults": [1], "traces": [0, 0, 2, 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": 439256381361310617, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6]], "log_conductor": {"__RealLiteral__": 0, "data": "4.15888308335967185650", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2], "num_bad_primes": 1, "level_radical": 2, "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": [13, 0, 3, 15], "has_obstruction": 1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.24.0.ba.2", "16.24.0.f.1", "16.24.1.a.1"]}