# Data for modular curve with label 56.384.23.i.1, downloaded from the LMFDB on 02 June 2024.
{"label": "56.384.23.i.1", "coarse_level": 56, "coarse_index": 384, "genus": 23, "coarse_label": "56.384.23.i.1", "coarse_class": "56.384.23.i", "coarse_class_num": 9, "coarse_num": 1, "level": 56, "index": 384, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[15, 36, 36, 31], [25, 24, 44, 41], [35, 44, 48, 41], [37, 24, 44, 25], [47, 8, 24, 1], [53, 0, 4, 55], [53, 20, 44, 7]], "canonical_generators": [[1, 0, 4, 1], [1, 28, 8, 1], [3, 0, 4, 17], [11, 0, 4, 25], [15, 28, 4, 15], [17, 0, 4, 33], [19, 0, 0, 9], [25, 0, 4, 39], [41, 0, 4, 41]], "parents": ["8.48.0.c.1", "28.192.11.b.1", "56.192.11.s.1", "56.192.11.s.2"], "parents_conj": [[20, 47, 51, 40], [41, 46, 2, 53], [1, 0, 0, 1], [26, 5, 5, 48]], "reductions": ["2.6.0.a.1", "4.24.0.b.1", "7.8.0.a.1", "8.48.0.c.1", "14.48.2.a.1", "28.192.11.b.1"], "factorization": ["7.8.0.a.1", "8.48.0.c.1"], "orbits": [[2, 1, 3], [4, 2, 4], [4, 4, 1], [7, 6, 1], [7, 42, 1], [8, 4, 4], [8, 8, 2], [8, 16, 1], [14, 6, 3], [14, 42, 3], [28, 12, 4], [28, 24, 1], [28, 84, 4], [28, 168, 1], [56, 24, 4], [56, 48, 2], [56, 96, 1], [56, 168, 4], [56, 336, 2], [56, 672, 1]], "kummer_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [7, 3, 1], [7, 21, 1], [8, 2, 4], [8, 4, 2], [8, 8, 1], [14, 3, 3], [14, 21, 3], [28, 6, 4], [28, 12, 1], [28, 42, 4], [28, 84, 1], [56, 12, 4], [56, 24, 2], [56, 48, 1], [56, 84, 4], [56, 168, 2], [56, 336, 1]], "isogeny_orbits": [[2, 1, 3], [4, 1, 4], [4, 2, 1], [7, 1, 1], [7, 7, 1], [8, 2, 4], [8, 4, 1], [14, 1, 3], [14, 7, 3], [28, 1, 4], [28, 2, 1], [28, 7, 4], [28, 14, 1], [56, 2, 4], [56, 4, 1], [56, 14, 4], [56, 28, 1]], "psl2index": 384, "nu2": 0, "nu3": 0, "cusps": 20, "psl2level": 56, "sl2level": 56, "rational_cusps": 8, "cusp_orbits": [[1, 8], [2, 6]], "cusp_widths": [[4, 8], [8, 2], [28, 8], [56, 2]], "psl2label": "56.384.23.b.1", "sl2label": "56.384.23.b.1", "CPlabel": "56P23", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.384.23.2", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 22, "newforms": ["14.2.a.a", "56.2.a.a", "56.2.a.b", "56.2.b.a", "56.2.b.b", "112.2.a.a", "112.2.a.b", "112.2.a.c"], "dims": [1, 1, 1, 2, 4, 1, 1, 1], "mults": [4, 2, 2, 2, 2, 1, 1, 1], "traces": [-6, -4, -6, -1, -4, -14, -2, 12, -8, -6, -32, -14, 22, 28, -48, 18, -12, 34, -28, -72, -42, 64, -4, -58, -82, 42, -104, 12, 10, 78, 32, 76, 38, 52, -78, 120, 34, -44, 152, 18, -44, 154, 176, -98, -126, 56, 20, -224, 60, -38, -58, 112, -162, -44, 174, 88, -174, 80, 82, -138, -60, 138, -4, -56, -58, 138, 28, 206, -84, -206, 110, -344, -48, -110, -52, 96, 114, 34, -82, 166, 28, -62, 16, -226, -56, -4, 14, -170, -30, 192, -20, -160, 40, -84, -12, 328, 210, -170, -60, 298, 52, -6, 156, -26, 108, 302, -140, 222, -24, 134, 288, -14, -106, 52, -216, -322, 44, -40, -54, -124, -134, -114, -150, 12, -132, -6, -110, -112, 328, 34, 20, 72, -16, 34, -314, -274, 282, -84, -222, 246, 52, 18, 40, -100, 418, 216, 202, 38, -12, 208, -86, 30, 20, 8, 76, 144, 168, 238, 118, -318, 164, -458, -152, 4, -2, -376, -336, 154], "trace_hash": 2066760239938268016, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 64], [7, 23]], "log_conductor": {"__RealLiteral__": 0, "data": "89.11735298410870582013", "prec": 77}, "q_gonality": null, "q_gonality_bounds": [5, 8], "qbar_gonality": null, "qbar_gonality_bounds": [5, 8], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [7, 30, 30, 3], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null}