# Data for modular curve with label 56.96.1-56.bu.1.1, downloaded from the LMFDB on 03 June 2024.
{"label": "56.96.1-56.bu.1.1", "coarse_level": 56, "coarse_index": 48, "genus": 1, "coarse_label": "56.48.1.bu.1", "coarse_class": "56.48.1.bu", "coarse_class_num": 47, "coarse_num": 1, "level": 56, "index": 96, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[15, 0, 50, 29], [29, 2, 0, 31], [43, 4, 18, 13], [53, 32, 28, 25]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 28, 1], [1, 4, 8, 7], [1, 4, 8, 35], [1, 8, 0, 1], [1, 8, 18, 49], [5, 4, 24, 31], [9, 8, 48, 49], [13, 0, 28, 13], [29, 0, 28, 29]], "parents": ["8.48.0-8.i.1.2", "28.48.0-28.c.1.3", "56.48.0-8.i.1.8", "56.48.0-28.c.1.9", "56.48.1-56.c.1.6", "56.48.1-56.c.1.17"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.24.0-4.b.1.1", "8.48.0-8.i.1.2", "28.48.0-28.c.1.3"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 6], [7, 48, 1], [8, 4, 4], [8, 8, 4], [14, 48, 3], [28, 96, 6], [56, 192, 4], [56, 384, 4]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [14, 24, 3], [28, 48, 2], [28, 96, 2], [56, 96, 2], [56, 192, 1], [56, 384, 2]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 2], [14, 8, 3], [28, 8, 2], [28, 16, 2], [56, 8, 2], [56, 16, 1], [56, 32, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3]], "cusp_widths": [[4, 4], [8, 4]], "psl2label": "8.48.1.a.1", "sl2label": "8.96.1-8.a.1.2", "CPlabel": "8F1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.96.1.131", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["1568.2.a.e"], "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": 1875721864117269597, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 5], [7, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "7.35755620091035315730", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "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": [11, 35, 0, 53], "has_obstruction": -1, "num_known_degree1_noncusp_points": 1, "num_known_degree1_noncm_points": 1, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.24.0.i.1", "28.24.0.c.1", "56.24.1.c.1"]}