# Data for modular curve with label 280.192.1-280.ep.2.14, downloaded from the LMFDB on 03 June 2024.
{"label": "280.192.1-280.ep.2.14", "coarse_level": 280, "coarse_index": 96, "genus": 1, "coarse_label": "280.96.1.ep.2", "coarse_class": "280.96.1.ep", "coarse_class_num": 120, "coarse_num": 2, "level": 280, "index": 192, "fine_num": 14, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 68, 102, 103], [87, 152, 74, 33], [229, 56, 208, 255], [245, 88, 134, 273]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 140, 1], [1, 8, 0, 1], [3, 8, 12, 89], [9, 8, 272, 273], [209, 0, 140, 209], [275, 272, 218, 39], [277, 272, 232, 23], [277, 276, 0, 207], [277, 276, 240, 247], [279, 276, 186, 105]], "parents": ["40.96.0-8.e.2.8", "56.96.0-8.e.2.5", "280.96.0-280.d.1.14", "280.96.0-280.d.1.28", "280.96.0-280.bw.2.7", "280.96.0-280.bw.2.27", "280.96.0-280.cb.2.2", "280.96.0-280.cb.2.31", "280.96.1-280.bb.1.13", "280.96.1-280.bb.1.20", "280.96.1-280.dw.1.16", "280.96.1-280.dw.1.22", "280.96.1-280.eb.1.12", "280.96.1-280.eb.1.27"], "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.e.2", "28.24.0-4.b.1.2", "28.24.0-4.b.1.2", "40.96.0-8.e.2.8", "56.96.0-8.e.2.5"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [5, 24, 1], [7, 48, 1], [8, 4, 2], [8, 8, 1], [8, 16, 2], [10, 24, 3], [14, 48, 3], [20, 48, 2], [20, 96, 2], [28, 96, 2], [28, 192, 2], [35, 1152, 1], [40, 96, 2], [40, 192, 1], [40, 384, 2], [56, 192, 2], [56, 384, 1], [56, 768, 2], [70, 1152, 3], [140, 2304, 2], [140, 4608, 2], [280, 4608, 2], [280, 9216, 1], [280, 18432, 2]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 12, 1], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [10, 12, 3], [14, 24, 3], [20, 24, 2], [20, 48, 2], [28, 48, 2], [28, 96, 2], [35, 576, 1], [40, 48, 2], [40, 96, 1], [40, 192, 2], [56, 96, 2], [56, 192, 1], [56, 384, 2], [70, 576, 3], [140, 1152, 2], [140, 2304, 2], [280, 2304, 2], [280, 4608, 1], [280, 9216, 2]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [5, 6, 1], [7, 8, 1], [8, 2, 2], [8, 4, 2], [10, 6, 3], [14, 8, 3], [20, 6, 2], [20, 12, 2], [28, 8, 2], [28, 16, 2], [35, 48, 1], [40, 12, 2], [40, 24, 2], [56, 16, 2], [56, 32, 2], [70, 48, 3], [140, 48, 2], [140, 96, 2], [280, 96, 2], [280, 192, 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, 5, 7], "num_bad_primes": 3, "level_radical": 70, "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": ["8.48.0.e.2", "280.48.0.d.1", "280.48.0.bw.2", "280.48.0.cb.2", "280.48.1.bb.1", "280.48.1.dw.1", "280.48.1.eb.1"]}