# Data for modular curve with label 240.192.1-240.wo.2.14, downloaded from the LMFDB on 28 May 2024. {"label": "240.192.1-240.wo.2.14", "coarse_level": 240, "coarse_index": 96, "genus": 1, "coarse_label": "240.96.1.wo.2", "coarse_class": "240.96.1.wo", "coarse_class_num": 587, "coarse_num": 2, "level": 240, "index": 192, "fine_num": 14, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[7, 0, 65, 19], [47, 16, 194, 209], [65, 24, 234, 193], [123, 64, 182, 23]], "canonical_generators": [[1, 0, 16, 1], [1, 0, 210, 1], [1, 16, 0, 1], [1, 16, 6, 145], [1, 16, 26, 225], [5, 16, 3, 77], [17, 16, 224, 225], [89, 0, 30, 89], [121, 0, 210, 121], [235, 224, 186, 223], [237, 232, 188, 191], [237, 232, 211, 237]], "parents": ["40.96.0-40.bj.2.2", "48.96.0-48.bf.1.15", "240.96.0-40.bj.2.7", "240.96.0-48.bf.1.9", "240.96.0-240.bi.1.5", "240.96.0-240.bi.1.30", "240.96.0-240.ej.1.13", "240.96.0-240.ej.1.19", "240.96.1-240.gb.1.13", "240.96.1-240.gb.1.19", "240.96.1-240.gh.1.5", "240.96.1-240.gh.1.26", "240.96.1-240.go.1.8", "240.96.1-240.go.1.27"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.48.0-8.bb.1.7", "8.48.0-8.bb.1.7", "8.48.0-8.bb.1.7", "10.6.0.a.1", "10.6.0.a.1", "20.12.0.g.1", "20.12.0.g.1", "40.96.0-40.bj.2.2", "40.96.0-40.bj.2.2", "40.96.0-40.bj.2.2", "48.96.0-48.bf.1.15"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 2, 2], [8, 4, 1], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [20, 48, 2], [20, 192, 1], [24, 16, 2], [24, 32, 1], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 48, 2], [40, 96, 1], [40, 192, 1], [40, 768, 1], [48, 64, 2], [48, 128, 1], [48, 256, 1], [48, 1024, 1], [60, 384, 2], [60, 1536, 1], [80, 192, 2], [80, 384, 1], [80, 768, 1], [80, 3072, 1], [120, 384, 2], [120, 768, 1], [120, 1536, 1], [120, 6144, 1], [240, 1536, 2], [240, 3072, 1], [240, 6144, 1], [240, 24576, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [16, 4, 2], [16, 8, 1], [16, 16, 1], [16, 64, 1], [20, 24, 2], [20, 96, 1], [24, 8, 2], [24, 16, 1], [24, 32, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 24, 2], [40, 48, 1], [40, 96, 1], [40, 384, 1], [48, 32, 2], [48, 64, 1], [48, 128, 1], [48, 512, 1], [60, 192, 2], [60, 768, 1], [80, 96, 2], [80, 192, 1], [80, 384, 1], [80, 1536, 1], [120, 192, 2], [120, 384, 1], [120, 768, 1], [120, 3072, 1], [240, 768, 2], [240, 1536, 1], [240, 3072, 1], [240, 12288, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [20, 6, 2], [20, 24, 1], [24, 4, 2], [24, 8, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 6, 2], [40, 12, 1], [40, 48, 1], [48, 8, 2], [48, 16, 1], [48, 64, 1], [60, 24, 2], [60, 96, 1], [80, 12, 2], [80, 24, 1], [80, 96, 1], [120, 24, 2], [120, 48, 1], [120, 192, 1], [240, 48, 2], [240, 96, 1], [240, 384, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 16, "sl2level": 16, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 3]], "cusp_widths": [[2, 8], [4, 4], [16, 4]], "psl2label": "16.96.1.a.1", "sl2label": "16.96.1.a.1", "CPlabel": "16M1", "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": ["40.48.0.bj.2", "48.48.0.bf.1", "240.48.0.bi.1", "240.48.0.ej.1", "240.48.1.gb.1", "240.48.1.gh.1", "240.48.1.go.1"]}