# Data for modular curve with label 120.192.1-120.oj.2.2, downloaded from the LMFDB on 01 June 2024.
{"label": "120.192.1-120.oj.2.2", "coarse_level": 120, "coarse_index": 96, "genus": 1, "coarse_label": "120.96.1.oj.2", "coarse_class": "120.96.1.oj", "coarse_class_num": 374, "coarse_num": 2, "level": 120, "index": 192, "fine_num": 2, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[11, 108, 110, 29], [29, 56, 66, 31], [37, 72, 116, 25], [117, 32, 94, 53]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 60, 1], [1, 8, 0, 1], [1, 8, 20, 51], [1, 8, 22, 45], [3, 4, 20, 73], [3, 4, 20, 113], [3, 4, 50, 13], [9, 8, 112, 113], [89, 0, 60, 89], [117, 112, 106, 87]], "parents": ["24.96.0-24.w.2.1", "40.96.0-40.p.1.10", "120.96.0-24.w.2.11", "120.96.0-40.p.1.1", "120.96.0-120.x.1.1", "120.96.0-120.x.1.19", "120.96.0-120.ct.1.14", "120.96.0-120.ct.1.23", "120.96.1-120.ef.1.2", "120.96.1-120.ef.1.19", "120.96.1-120.eg.2.1", "120.96.1-120.eg.2.8", "120.96.1-120.ff.1.9", "120.96.1-120.ff.1.17"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0-8.e.2.6", "12.24.0-4.b.1.3", "12.24.0-4.b.1.3", "24.96.0-24.w.2.1", "40.96.0-40.p.1.10"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [5, 24, 1], [6, 8, 3], [8, 2, 4], [8, 8, 1], [8, 16, 2], [10, 24, 3], [12, 16, 2], [12, 32, 2], [15, 192, 1], [20, 48, 2], [20, 96, 2], [24, 16, 4], [24, 64, 1], [24, 128, 2], [30, 192, 3], [40, 48, 4], [40, 192, 1], [40, 384, 2], [60, 384, 2], [60, 768, 2], [120, 384, 4], [120, 1536, 1], [120, 3072, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 12, 1], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [10, 12, 3], [12, 8, 2], [12, 16, 2], [15, 96, 1], [20, 24, 2], [20, 48, 2], [24, 16, 2], [24, 32, 1], [24, 64, 2], [30, 96, 3], [40, 48, 2], [40, 96, 1], [40, 192, 2], [60, 192, 2], [60, 384, 2], [120, 384, 2], [120, 768, 1], [120, 1536, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 6, 1], [6, 4, 3], [8, 2, 2], [8, 4, 2], [10, 6, 3], [12, 4, 2], [12, 8, 2], [15, 24, 1], [20, 6, 2], [20, 12, 2], [24, 8, 2], [24, 16, 2], [30, 24, 3], [40, 12, 2], [40, 24, 2], [60, 24, 2], [60, 48, 2], [120, 48, 2], [120, 96, 2]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 3]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.96.1.a.1", "CPlabel": "8K1", "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, 96], "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": ["24.48.0.w.2", "40.48.0.p.1", "120.48.0.x.1", "120.48.0.ct.1", "120.48.1.ef.1", "120.48.1.eg.2", "120.48.1.ff.1"]}