# Data for modular curve with label 168.384.11-56.v.1.5, downloaded from the LMFDB on 03 June 2024.
{"label": "168.384.11-56.v.1.5", "coarse_level": 56, "coarse_index": 192, "genus": 11, "coarse_label": "56.192.11.v.1", "coarse_class": "56.192.11.v", "coarse_class_num": 22, "coarse_num": 1, "level": 168, "index": 384, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "28.4.1", "generators": [[31, 158, 76, 103], [47, 116, 50, 51], [75, 22, 92, 117], [75, 50, 22, 61], [77, 144, 158, 161]], "canonical_generators": [[1, 0, 56, 1], [1, 0, 84, 1], [1, 6, 144, 97], [1, 56, 0, 1], [1, 84, 0, 1], [1, 114, 12, 25], [1, 138, 72, 145], [1, 144, 66, 133], [53, 54, 156, 29], [55, 0, 0, 167], [57, 56, 112, 113], [85, 66, 72, 133], [85, 84, 84, 85], [167, 150, 18, 161]], "parents": ["84.192.4-28.a.1.5", "168.192.4-28.a.1.12", "168.192.5-56.a.1.1", "168.192.5-56.a.1.14", "168.192.6-56.a.1.1", "168.192.6-56.a.1.10"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "7.8.0.a.1", "7.8.0.a.1", "8.12.0.a.1", "12.12.0-2.a.1.1", "14.48.2.a.1", "14.48.2.a.1", "24.24.0-8.a.1.1", "28.96.4.a.1", "56.192.11.v.1", "84.192.4-28.a.1.5"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 4, 3], [6, 8, 3], [7, 6, 1], [7, 42, 1], [8, 16, 3], [12, 32, 3], [14, 6, 3], [14, 42, 3], [21, 48, 1], [21, 336, 1], [24, 128, 3], [28, 24, 3], [28, 84, 2], [28, 168, 2], [42, 48, 3], [42, 336, 3], [56, 96, 3], [56, 336, 2], [56, 672, 2], [84, 192, 3], [84, 672, 2], [84, 1344, 2], [168, 768, 3], [168, 2688, 2], [168, 5376, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 3, 1], [7, 21, 1], [8, 8, 3], [12, 16, 3], [14, 3, 3], [14, 21, 3], [21, 24, 1], [21, 168, 1], [24, 64, 3], [28, 12, 3], [28, 42, 2], [28, 84, 2], [42, 24, 3], [42, 168, 3], [56, 48, 3], [56, 168, 2], [56, 336, 2], [84, 96, 3], [84, 336, 2], [84, 672, 2], [168, 384, 3], [168, 1344, 2], [168, 2688, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [7, 1, 1], [7, 7, 1], [8, 4, 3], [12, 8, 3], [14, 1, 3], [14, 7, 3], [21, 4, 1], [21, 28, 1], [24, 16, 3], [28, 2, 3], [28, 14, 3], [42, 4, 3], [42, 28, 3], [56, 4, 3], [56, 28, 3], [84, 8, 3], [84, 56, 3], [168, 16, 3], [168, 112, 3]], "psl2index": 192, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 28, "sl2level": 28, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 5]], "cusp_widths": [[4, 6], [28, 6]], "psl2label": "28.192.11.b.1", "sl2label": "28.192.11.b.1", "CPlabel": "28F11", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": ["14.2.a.a", "28.2.d.a", "448.2.a.c", "448.2.a.d", "448.2.a.g", "448.2.f.a", "448.2.f.c"], "dims": null, "mults": null, "traces": [-3, -4, 2, 3, 4, -6, 10, -4, 8, -42, 0, 30, 18, 4, -48, -34, -12, 10, 12, -8, 2, 32, -20, -14, -38, -14, -40, 36, -90, -42, -48, -4, 46, 4, -2, 40, -22, -20, -8, -38, -4, 2, 48, 38, 14, 56, -36, 0, 12, 2, -82, 64, -22, -28, 74, 24, 26, -16, -66, -2, -28, 18, 12, -88, -30, -122, 4, 54, -12, -6, 10, -72, 48, 62, -12, 96, 158, 42, 182, 34, -4, 46, 64, -118, 72, -44, -42, -194, 42, 64, -4, -128, -72, 36, -4, 8, 26, 18, 68, -58, -20, 182, -36, -114, 20, 10, -28, 58, -56, 114, 96, -66, -34, 52, 8, -58, 12, -104, 38, 28, -62, -42, 18, -60, -52, -74, -34, 80, 168, -118, -84, 88, -96, 142, -126, -6, -30, -4, 42, 94, -44, -66, -88, -44, 10, 24, 50, -30, 68, -48, -282, -134, 60, -88, 100, 160, 168, 26, 34, 42, -68, -66, 56, -28, -282, -120, -112, -30], "trace_hash": null, "simple": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [5, 11], "qbar_gonality": null, "qbar_gonality_bounds": [5, 11], "bad_primes": [2, 3, 7], "num_bad_primes": 3, "level_radical": 42, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["28.96.4.a.1", "56.96.5.a.1", "56.96.6.a.1"]}