# Data for modular curve with label 280.24.0-56.b.1.7, downloaded from the LMFDB on 25 May 2024.
{"label": "280.24.0-56.b.1.7", "coarse_level": 56, "coarse_index": 12, "genus": 0, "coarse_label": "56.12.0.b.1", "coarse_class": "56.12.0.b", "coarse_class_num": 2, "coarse_num": 1, "level": 280, "index": 24, "fine_num": 7, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[39, 154, 210, 241], [57, 12, 198, 147], [157, 152, 264, 203], [167, 188, 186, 191], [227, 208, 134, 167]], "canonical_generators": [[1, 0, 56, 1], [1, 0, 60, 1], [1, 56, 0, 1], [1, 60, 0, 1], [1, 170, 230, 91], [1, 170, 240, 91], [57, 56, 224, 225], [61, 60, 220, 221], [211, 0, 210, 211], [223, 0, 0, 279], [279, 0, 70, 279], [279, 110, 120, 259], [279, 160, 30, 119], [279, 160, 270, 79]], "parents": ["40.12.0-2.a.1.1", "140.12.0-2.a.1.2"], "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", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "40.12.0-2.a.1.1", "56.12.0.b.1", "140.12.0-2.a.1.2"], "factorization": [], "orbits": [[2, 1, 3], [4, 4, 3], [5, 24, 1], [7, 48, 1], [8, 16, 3], [10, 24, 3], [14, 48, 3], [20, 96, 3], [28, 192, 3], [35, 1152, 1], [40, 384, 3], [56, 768, 3], [70, 1152, 3], [140, 4608, 3], [280, 18432, 3]], "kummer_orbits": [[2, 1, 3], [4, 2, 3], [5, 12, 1], [7, 24, 1], [8, 8, 3], [10, 12, 3], [14, 24, 3], [20, 48, 3], [28, 96, 3], [35, 576, 1], [40, 192, 3], [56, 384, 3], [70, 576, 3], [140, 2304, 3], [280, 9216, 3]], "isogeny_orbits": [[2, 1, 3], [4, 2, 3], [5, 6, 1], [7, 8, 1], [8, 4, 3], [10, 6, 3], [14, 8, 3], [20, 12, 3], [28, 16, 3], [35, 48, 1], [40, 24, 3], [56, 32, 3], [70, 48, 3], [140, 96, 3], [280, 192, 3]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 4, "sl2level": 4, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[2, 2], [4, 2]], "psl2label": "4.12.0.a.1", "sl2label": "4.12.0.a.1", "CPlabel": "4E0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "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": ["2.6.0.a.1", "56.6.0.d.1", "56.6.0.e.1"]}