# Data for modular curve with label 120.96.1-120.bai.1.8, downloaded from the LMFDB on 31 May 2024. {"label": "120.96.1-120.bai.1.8", "coarse_level": 120, "coarse_index": 48, "genus": 1, "coarse_label": "120.48.1.bai.1", "coarse_class": "120.48.1.bai", "coarse_class_num": 685, "coarse_num": 1, "level": 120, "index": 96, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[5, 49, 86, 117], [45, 61, 112, 9], [47, 91, 56, 81], [57, 86, 26, 15]], "canonical_generators": [[1, 0, 12, 1], [1, 3, 40, 41], [1, 12, 0, 1], [9, 110, 40, 89], [13, 12, 108, 109], [41, 10, 80, 81], [119, 70, 20, 39], [119, 109, 14, 15], [119, 109, 14, 63], [119, 109, 104, 105], [119, 115, 98, 39], [119, 117, 14, 25]], "parents": ["24.48.0-12.h.1.6", "60.48.0-12.h.1.1", "120.48.0-120.fo.1.19", "120.48.0-120.fo.1.31", "120.48.1-120.iu.1.21", "120.48.1-120.iu.1.30"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "12.24.0.h.1", "15.8.0-3.a.1.2", "24.48.0-12.h.1.6", "30.24.0-6.a.1.2", "40.6.0.c.1", "60.48.0-12.h.1.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [40, 384, 1], [40, 768, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1], [120, 768, 1], [120, 1536, 1], [120, 2304, 1], [120, 4608, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [40, 192, 1], [40, 384, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1], [120, 384, 1], [120, 768, 1], [120, 1152, 1], [120, 2304, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [40, 24, 1], [40, 48, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1], [120, 24, 1], [120, 48, 1], [120, 72, 1], [120, 144, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 12, "sl2level": 12, "rational_cusps": 0, "cusp_orbits": [[2, 4]], "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": null, "q_gonality_bounds": [2, 48], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.24.0.h.1", "120.12.0.bi.1", "120.24.0.fo.1", "120.24.1.iu.1"]}