# Data for modular curve with label 16.48.1-16.a.1.14, downloaded from the LMFDB on 04 June 2024.
{"label": "16.48.1-16.a.1.14", "coarse_level": 16, "coarse_index": 24, "genus": 1, "coarse_label": "16.24.1.a.1", "coarse_class": "16.24.1.a", "coarse_class_num": 1, "coarse_num": 1, "level": 16, "index": 48, "fine_num": 14, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[1, 15, 0, 11], [5, 8, 0, 11], [7, 11, 8, 1], [7, 12, 8, 5]], "canonical_generators": [[0, 1, 15, 6], [0, 3, 9, 6], [0, 5, 3, 6], [0, 13, 11, 6], [0, 15, 3, 12], [0, 15, 5, 6]], "parents": ["8.24.0-8.n.1.4", "16.24.0-8.n.1.8"], "parents_conj": null, "reductions": ["2.3.0.a.1", "4.6.0.c.1", "8.24.0-8.n.1.4"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1]], "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": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 16, "sl2level": 16, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 2], [4, 1], [16, 1]], "psl2label": "16.24.1.a.1", "sl2label": "16.48.1-16.a.1.2", "CPlabel": "16A1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "16.48.1.79", "Glabel": null, "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": [], "pointless": false, "num_known_degree1_points": 1, "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": ["8.12.0.n.1"]}