# Data for modular curve with label 84.96.1-84.b.1.8, downloaded from the LMFDB on 23 May 2024.
{"label": "84.96.1-84.b.1.8", "coarse_level": 84, "coarse_index": 48, "genus": 1, "coarse_label": "84.48.1.b.1", "coarse_class": "84.48.1.b", "coarse_class_num": 2, "coarse_num": 1, "level": 84, "index": 96, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[5, 36, 68, 25], [27, 74, 46, 23], [29, 82, 74, 81], [53, 12, 62, 73], [63, 82, 34, 69]], "canonical_generators": [[1, 0, 12, 1], [1, 8, 18, 35], [1, 8, 18, 77], [1, 12, 0, 1], [13, 12, 72, 73], [29, 70, 56, 57], [69, 14, 28, 41], [83, 70, 56, 27], [83, 76, 38, 21], [83, 76, 38, 63]], "parents": ["6.48.0-6.a.1.2", "84.48.0-6.a.1.7", "84.48.0-84.o.1.2", "84.48.0-84.o.1.15", "84.48.1-84.o.1.1", "84.48.1-84.o.1.16"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2", "6.48.0-6.a.1.2", "28.12.0.b.1"], "factorization": ["3.8.0-3.a.1.1", "28.12.0.b.1"], "orbits": [[2, 1, 3], [3, 2, 1], [3, 3, 2], [4, 4, 3], [6, 2, 3], [6, 3, 6], [7, 48, 1], [12, 8, 3], [12, 12, 6], [14, 48, 3], [21, 96, 1], [21, 144, 2], [28, 192, 3], [42, 96, 3], [42, 144, 6], [84, 384, 3], [84, 576, 6]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [7, 24, 1], [12, 4, 3], [12, 12, 3], [14, 24, 3], [21, 48, 1], [21, 144, 1], [28, 96, 3], [42, 48, 3], [42, 144, 3], [84, 192, 3], [84, 576, 3]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [7, 8, 1], [12, 2, 3], [12, 6, 3], [14, 8, 3], [21, 8, 1], [21, 24, 1], [28, 16, 3], [42, 8, 3], [42, 24, 3], [84, 16, 3], [84, 48, 3]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 12, "sl2level": 12, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[2, 2], [4, 2], [6, 2], [12, 2]], "psl2label": "12.48.1.a.1", "sl2label": "12.48.1.a.1", "CPlabel": "12P1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "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": ["6.24.0.a.1", "28.12.0.b.1", "84.24.0.o.1", "84.24.1.o.1"]}