# Data for modular curve with label 280.24.0-40.ba.1.4, downloaded from the LMFDB on 30 May 2024.
{"label": "280.24.0-40.ba.1.4", "coarse_level": 40, "coarse_index": 12, "genus": 0, "coarse_label": "40.12.0.ba.1", "coarse_class": "40.12.0.ba", "coarse_class_num": 27, "coarse_num": 1, "level": 280, "index": 24, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[26, 123, 63, 10], [104, 43, 85, 46], [184, 119, 209, 26], [218, 217, 141, 82], [226, 29, 263, 4]], "canonical_generators": [[1, 0, 40, 1], [1, 0, 168, 1], [1, 40, 0, 1], [1, 168, 0, 1], [39, 0, 0, 279], [41, 40, 240, 241], [104, 35, 245, 174], [104, 175, 105, 174], [120, 161, 133, 36], [120, 203, 77, 246], [160, 77, 7, 118], [160, 77, 259, 174], [160, 119, 49, 174], [169, 168, 112, 113], [176, 35, 245, 246]], "parents": ["56.12.0-4.c.1.6", "280.12.0-4.c.1.1"], "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", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "40.12.0.ba.1", "56.12.0-4.c.1.6"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [14, 48, 1], [14, 96, 1], [20, 48, 2], [20, 192, 1], [28, 96, 2], [28, 384, 1], [35, 1152, 1], [40, 192, 2], [40, 768, 1], [56, 384, 2], [56, 1536, 1], [70, 1152, 1], [70, 2304, 1], [140, 2304, 2], [140, 9216, 1], [280, 9216, 2], [280, 36864, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [14, 24, 1], [14, 48, 1], [20, 24, 2], [20, 96, 1], [28, 48, 2], [28, 192, 1], [35, 576, 1], [40, 96, 2], [40, 384, 1], [56, 192, 2], [56, 768, 1], [70, 576, 1], [70, 1152, 1], [140, 1152, 2], [140, 4608, 1], [280, 4608, 2], [280, 18432, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [14, 8, 1], [14, 16, 1], [20, 6, 2], [20, 24, 1], [28, 8, 2], [28, 32, 1], [35, 48, 1], [40, 12, 2], [40, 48, 1], [56, 16, 2], [56, 64, 1], [70, 48, 1], [70, 96, 1], [140, 48, 2], [140, 192, 1], [280, 96, 2], [280, 384, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[1, 2], [2, 1], [8, 1]], "psl2label": "8.12.0.a.1", "sl2label": "8.12.0.a.1", "CPlabel": "8C0", "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": ["4.6.0.c.1"]}