# Data for modular curve with label 48.48.1-48.a.1.3, downloaded from the LMFDB on 23 May 2024.
{"label": "48.48.1-48.a.1.3", "coarse_level": 48, "coarse_index": 24, "genus": 1, "coarse_label": "48.24.1.a.1", "coarse_class": "48.24.1.a", "coarse_class_num": 1, "coarse_num": 1, "level": 48, "index": 48, "fine_num": 3, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[11, 29, 4, 27], [17, 39, 40, 11], [19, 47, 24, 41], [35, 42, 20, 5], [37, 14, 32, 9]], "canonical_generators": [[0, 1, 29, 4], [0, 7, 25, 18], [0, 7, 29, 22], [0, 7, 29, 38], [1, 0, 16, 1], [1, 16, 0, 1], [16, 21, 3, 22], [16, 33, 15, 22], [17, 16, 32, 33], [32, 45, 27, 38]], "parents": ["16.24.0-8.n.1.8", "24.24.0-8.n.1.2"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.8", "24.24.0-8.n.1.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [12, 8, 2], [12, 32, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 16, 2], [24, 32, 1], [24, 128, 1], [48, 64, 2], [48, 128, 1], [48, 512, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [12, 4, 2], [12, 16, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [48, 8, 2], [48, 16, 1], [48, 64, 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": "48.48.1.252", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["576.2.a.c"], "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": 1086616701052248176, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6], [3, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "6.35610766069589123929", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 9, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 47, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 8, "num_known_degree1_noncm_points": 8, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.12.0.n.1"]}