# Data for modular curve with label 84.192.5-42.a.1.47, downloaded from the LMFDB on 04 June 2024. {"label": "84.192.5-42.a.1.47", "coarse_level": 42, "coarse_index": 96, "genus": 5, "coarse_label": "42.96.5.a.1", "coarse_class": "42.96.5.a", "coarse_class_num": 1, "coarse_num": 1, "level": 84, "index": 192, "fine_num": 47, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[7, 60, 58, 65], [27, 80, 40, 53], [36, 37, 23, 22], [41, 28, 78, 61], [52, 59, 55, 42], [59, 24, 32, 79]], "canonical_generators": [[0, 17, 11, 6], [0, 19, 11, 22], [0, 55, 71, 82], [0, 71, 55, 44], [0, 73, 67, 48], [0, 79, 79, 0], [0, 83, 43, 68], [43, 0, 0, 1], [43, 42, 42, 43], [83, 0, 42, 83], [83, 42, 0, 83]], "parents": ["12.24.0-6.a.1.6"], "parents_conj": null, "reductions": ["2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "7.8.0.a.1", "12.24.0-6.a.1.6", "14.24.1.a.1", "14.24.1.a.1", "21.32.1.a.1", "42.96.5.a.1"], "factorization": ["7.8.0.a.1", "12.24.0-6.a.1.6"], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [7, 6, 1], [7, 42, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [14, 6, 1], [14, 12, 1], [14, 42, 1], [14, 84, 1], [21, 12, 1], [21, 36, 1], [21, 84, 1], [21, 252, 1], [28, 24, 1], [28, 48, 1], [28, 168, 1], [28, 336, 1], [42, 12, 1], [42, 24, 1], [42, 36, 1], [42, 72, 1], [42, 84, 1], [42, 168, 1], [42, 252, 1], [42, 504, 1], [84, 48, 1], [84, 96, 1], [84, 144, 1], [84, 288, 1], [84, 336, 1], [84, 672, 1], [84, 1008, 1], [84, 2016, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 3, 1], [7, 21, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [14, 3, 1], [14, 6, 1], [14, 21, 1], [14, 42, 1], [21, 6, 1], [21, 18, 1], [21, 42, 1], [21, 126, 1], [28, 12, 1], [28, 24, 1], [28, 84, 1], [28, 168, 1], [42, 6, 1], [42, 12, 1], [42, 18, 1], [42, 36, 1], [42, 42, 1], [42, 84, 1], [42, 126, 1], [42, 252, 1], [84, 24, 1], [84, 48, 1], [84, 72, 1], [84, 144, 1], [84, 168, 1], [84, 336, 1], [84, 504, 1], [84, 1008, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [7, 1, 1], [7, 7, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [14, 1, 1], [14, 2, 1], [14, 7, 1], [14, 14, 1], [21, 1, 1], [21, 3, 1], [21, 7, 1], [21, 21, 1], [28, 2, 1], [28, 4, 1], [28, 14, 1], [28, 28, 1], [42, 1, 1], [42, 2, 1], [42, 3, 1], [42, 6, 1], [42, 7, 1], [42, 14, 1], [42, 21, 1], [42, 42, 1], [84, 2, 1], [84, 4, 1], [84, 6, 1], [84, 12, 1], [84, 14, 1], [84, 28, 1], [84, 42, 1], [84, 84, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 42, "sl2level": 84, "rational_cusps": 8, "cusp_orbits": [[1, 8]], "cusp_widths": [[1, 1], [2, 1], [3, 1], [6, 1], [7, 1], [14, 1], [21, 1], [42, 1]], "psl2label": "42.96.5.a.1", "sl2label": "42.96.5.a.1", "CPlabel": "42G5", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": ["14.2.a.a", "21.2.a.a", "42.2.a.a"], "dims": null, "mults": null, "traces": [-3, -3, -6, -1, 4, -6, 2, 8, 8, -18, -8, 6, 10, 4, -24, 30, 16, 18, 4, 8, 2, -16, -40, -46, 2, 26, 16, 44, -34, -30, -32, 24, 34, 56, -18, 24, -22, -4, -48, -22, -44, -30, 32, 34, -2, 96, 20, 32, 24, -30, -46, 96, -14, -88, 58, 8, 10, 0, 14, -30, -80, 106, 40, -104, 42, -42, 4, 18, -92, -38, 26, 8, 48, 30, -28, 56, 22, 10, -78, -38, -48, 62, 0, -94, -56, 44, 10, 10, 26, 64, 88, -120, -40, 28, -44, 72, 58, 42, -16, 38, 12, 6, 112, 26, 68, 106, -56, -6, 72, 66, 80, -90, -22, -32, -104, 2, 64, -80, -18, -52, -38, 122, -78, -36, -56, 94, -90, -72, 0, -110, 28, 72, -96, -10, -22, 18, 74, -168, -70, 106, 48, 126, -88, -132, 114, 64, 82, -22, 136, -128, 46, -102, 4, -80, 92, 48, 168, 82, 66, 2, 140, -30, 152, 0, -54, -48, -80, -22], "trace_hash": null, "simple": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [3, 5], "qbar_gonality": null, "qbar_gonality_bounds": [3, 5], "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": ["6.12.0.a.1", "14.24.1.a.1", "21.32.1.a.1"]}