# Data for modular curve with label 280.96.2-28.b.1.15, downloaded from the LMFDB on 04 June 2024. {"label": "280.96.2-28.b.1.15", "coarse_level": 28, "coarse_index": 48, "genus": 2, "coarse_label": "28.48.2.b.1", "coarse_class": "28.48.2.b", "coarse_class_num": 2, "coarse_num": 1, "level": 280, "index": 96, "fine_num": 15, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[46, 159, 259, 268], [56, 13, 97, 42], [110, 161, 183, 144], [146, 81, 219, 260], [256, 169, 149, 94], [274, 131, 159, 64]], "canonical_generators": [[29, 28, 252, 253], [56, 115, 25, 6], [56, 115, 65, 246], [56, 235, 115, 246], [56, 235, 185, 246], [139, 0, 0, 279], [223, 0, 0, 279], [224, 55, 85, 54], [224, 155, 265, 254], [224, 265, 155, 54], [224, 275, 205, 154], [279, 0, 252, 279], [279, 252, 0, 279]], "parents": ["40.12.0-4.b.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.b.1", "4.6.0.b.1", "4.6.0.b.1", "7.8.0.a.1", "7.8.0.a.1", "14.24.1.a.1", "14.24.1.a.1", "28.48.2.b.1", "28.48.2.b.1", "28.48.2.b.1", "40.12.0-4.b.1.3"], "factorization": ["7.8.0.a.1", "40.12.0-4.b.1.3"], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [7, 6, 1], [7, 42, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [14, 6, 1], [14, 12, 1], [14, 42, 1], [14, 84, 1], [20, 96, 1], [20, 192, 1], [28, 24, 1], [28, 48, 1], [28, 168, 1], [28, 336, 1], [35, 144, 1], [35, 1008, 1], [40, 384, 1], [40, 768, 1], [56, 96, 1], [56, 192, 1], [56, 672, 1], [56, 1344, 1], [70, 144, 1], [70, 288, 1], [70, 1008, 1], [70, 2016, 1], [140, 576, 1], [140, 1152, 1], [140, 4032, 1], [140, 8064, 1], [280, 2304, 1], [280, 4608, 1], [280, 16128, 1], [280, 32256, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [7, 3, 1], [7, 21, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [14, 3, 1], [14, 6, 1], [14, 21, 1], [14, 42, 1], [20, 48, 1], [20, 96, 1], [28, 12, 1], [28, 24, 1], [28, 84, 1], [28, 168, 1], [35, 72, 1], [35, 504, 1], [40, 192, 1], [40, 384, 1], [56, 48, 1], [56, 96, 1], [56, 336, 1], [56, 672, 1], [70, 72, 1], [70, 144, 1], [70, 504, 1], [70, 1008, 1], [140, 288, 1], [140, 576, 1], [140, 2016, 1], [140, 4032, 1], [280, 1152, 1], [280, 2304, 1], [280, 8064, 1], [280, 16128, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [7, 1, 1], [7, 7, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [14, 1, 1], [14, 2, 1], [14, 7, 1], [14, 14, 1], [20, 12, 1], [20, 24, 1], [28, 2, 1], [28, 4, 1], [28, 14, 1], [28, 28, 1], [35, 6, 1], [35, 42, 1], [40, 24, 1], [40, 48, 1], [56, 4, 1], [56, 8, 1], [56, 28, 1], [56, 56, 1], [70, 6, 1], [70, 12, 1], [70, 42, 1], [70, 84, 1], [140, 12, 1], [140, 24, 1], [140, 84, 1], [140, 168, 1], [280, 24, 1], [280, 48, 1], [280, 168, 1], [280, 336, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 28, "sl2level": 56, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 2], [4, 1], [7, 2], [28, 1]], "psl2label": "28.48.2.a.1", "sl2label": "28.48.2.a.1", "CPlabel": "28D2", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": ["14.2.a.a", "112.2.a.c"], "dims": null, "mults": null, "traces": [-1, 0, 0, 0, 0, -8, 12, 0, 0, -12, 0, 4, 12, 0, 0, 12, 0, 16, 0, 0, 4, 0, 0, -12, -20, 0, 0, 0, 4, 12, 0, 0, 36, 0, -36, 0, -8, 0, 0, -24, 0, 40, 0, 28, -36, 0, 0, 0, 0, -8, -12, 0, -20, 0, 36, 0, -24, 0, -20, -12, 0, 48, 0, 0, -20, 12, 0, 28, 0, -56, 36, 0, 0, 28, 0, 0, 36, 40, -36, 28, 0, -20, 0, -68, 0, 0, 36, -20, 24, 0, 0, 0, 0, 0, 0, 0, 72, 12, 0, 76, 0, 12, 0, 12, 0, 4, 0, -12, 0, 52, 0, 4, 12, 0, 0, -36, 0, 0, 36, 0, -80, 52, -24, 0, 0, 36, -92, 0, 0, -80, 0, 0, 0, 4, -36, 28, 48, 0, -24, 12, 0, 12, 0, 0, 112, 0, 88, -36, 0, 0, -44, -108, 0, 0, 0, 0, 0, 12, 4, -48, 0, -108, 0, 0, -12, 0, 0, 16], "trace_hash": null, "simple": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "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": 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": ["4.6.0.b.1", "14.24.1.a.1"]}