# Data for modular curve with label 280.48.1-280.gm.2.9, downloaded from the LMFDB on 08 June 2024.
{"label": "280.48.1-280.gm.2.9", "coarse_level": 280, "coarse_index": 24, "genus": 1, "coarse_label": "280.24.1.gm.2", "coarse_class": "280.24.1.gm", "coarse_class_num": 169, "coarse_num": 2, "level": 280, "index": 48, "fine_num": 9, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[0, 213, 141, 58], [11, 127, 210, 9], [191, 223, 43, 6], [241, 270, 248, 219]], "canonical_generators": [[0, 9, 191, 232], [0, 9, 251, 162], [0, 9, 251, 202], [0, 17, 179, 162], [0, 271, 239, 118], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 270, 271], [160, 49, 231, 237]], "parents": ["20.24.0-5.a.2.1", "280.24.0-5.a.2.7"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "5.12.0.a.2", "5.12.0.a.2", "5.12.0.a.2", "5.12.0.a.2", "20.24.0-5.a.2.1", "20.24.0-5.a.2.1", "20.24.0-5.a.2.1", "56.2.0.a.1"], "factorization": [], "orbits": [[2, 3, 1], [4, 12, 1], [5, 4, 1], [5, 10, 2], [7, 48, 1], [8, 48, 1], [10, 12, 1], [10, 30, 2], [14, 144, 1], [20, 48, 1], [20, 120, 2], [28, 576, 1], [35, 192, 1], [35, 480, 2], [40, 192, 1], [40, 480, 2], [56, 2304, 1], [70, 576, 1], [70, 1440, 2], [140, 2304, 1], [140, 5760, 2], [280, 9216, 1], [280, 23040, 2]], "kummer_orbits": [[2, 3, 1], [4, 6, 1], [5, 2, 1], [5, 5, 2], [7, 24, 1], [8, 24, 1], [10, 6, 1], [10, 15, 2], [14, 72, 1], [20, 24, 1], [20, 60, 2], [28, 288, 1], [35, 96, 1], [35, 240, 2], [40, 96, 1], [40, 240, 2], [56, 1152, 1], [70, 288, 1], [70, 720, 2], [140, 1152, 1], [140, 2880, 2], [280, 4608, 1], [280, 11520, 2]], "isogeny_orbits": [[2, 3, 1], [4, 6, 1], [5, 1, 1], [5, 5, 1], [7, 8, 1], [8, 12, 1], [10, 3, 1], [10, 15, 1], [14, 24, 1], [20, 6, 1], [20, 30, 1], [28, 48, 1], [35, 8, 1], [35, 40, 1], [40, 12, 1], [40, 60, 1], [56, 96, 1], [70, 24, 1], [70, 120, 1], [140, 48, 1], [140, 240, 1], [280, 96, 1], [280, 480, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 10, "sl2level": 10, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[2, 2], [10, 2]], "psl2label": "10.24.1.a.1", "sl2label": "10.24.1.a.1", "CPlabel": "10D1", "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": 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": ["5.12.0.a.2", "280.12.0.er.1", "280.12.1.a.1"]}