# Data for modular curve with label 280.144.1-280.ca.1.15, downloaded from the LMFDB on 11 June 2024.
{"label": "280.144.1-280.ca.1.15", "coarse_level": 280, "coarse_index": 72, "genus": 1, "coarse_label": "280.72.1.ca.1", "coarse_class": "280.72.1.ca", "coarse_class_num": 53, "coarse_num": 1, "level": 280, "index": 144, "fine_num": 15, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[29, 78, 182, 143], [42, 173, 157, 246], [190, 241, 139, 38], [202, 33, 149, 188], [207, 46, 176, 117]], "canonical_generators": [[0, 1, 243, 162], [0, 271, 29, 78], [0, 271, 29, 118], [0, 271, 89, 48], [0, 271, 239, 118], [1, 0, 10, 1], [1, 10, 0, 1], [11, 10, 270, 271], [209, 238, 112, 153]], "parents": ["10.72.0-10.a.2.4", "280.48.1-280.gm.1.8", "280.72.0-10.a.2.7"], "parents_conj": null, "reductions": ["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", "2.3.0.a.1", "5.12.0.a.1", "5.12.0.a.1", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4", "10.72.0-10.a.2.4", "56.6.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [7, 48, 1], [8, 16, 1], [8, 32, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1], [14, 48, 1], [14, 96, 1], [20, 8, 6], [20, 80, 1], [20, 160, 1], [28, 192, 1], [28, 384, 1], [35, 96, 2], [35, 960, 1], [40, 32, 6], [40, 320, 1], [40, 640, 1], [56, 768, 1], [56, 1536, 1], [70, 96, 6], [70, 960, 1], [70, 1920, 1], [140, 384, 6], [140, 3840, 1], [140, 7680, 1], [280, 1536, 6], [280, 15360, 1], [280, 30720, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [7, 24, 1], [8, 8, 1], [8, 16, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1], [14, 24, 1], [14, 48, 1], [20, 4, 2], [20, 8, 2], [20, 40, 1], [20, 80, 1], [28, 96, 1], [28, 192, 1], [35, 48, 2], [35, 480, 1], [40, 16, 2], [40, 32, 2], [40, 160, 1], [40, 320, 1], [56, 384, 1], [56, 768, 1], [70, 48, 2], [70, 96, 2], [70, 480, 1], [70, 960, 1], [140, 192, 2], [140, 384, 2], [140, 1920, 1], [140, 3840, 1], [280, 768, 2], [280, 1536, 2], [280, 7680, 1], [280, 15360, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [7, 8, 1], [8, 4, 1], [8, 8, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1], [14, 8, 1], [14, 16, 1], [20, 2, 1], [20, 4, 1], [20, 10, 1], [20, 20, 1], [28, 16, 1], [28, 32, 1], [35, 8, 1], [35, 40, 1], [40, 4, 1], [40, 8, 1], [40, 20, 1], [40, 40, 1], [56, 32, 1], [56, 64, 1], [70, 8, 1], [70, 16, 1], [70, 40, 1], [70, 80, 1], [140, 16, 1], [140, 32, 1], [140, 80, 1], [140, 160, 1], [280, 32, 1], [280, 64, 1], [280, 160, 1], [280, 320, 1]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 10, "sl2level": 10, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 1]], "cusp_widths": [[2, 6], [10, 6]], "psl2label": "10.72.1.a.1", "sl2label": "10.72.1.a.1", "CPlabel": "10K1", "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": ["10.36.0.a.2", "280.24.1.gm.1", "280.36.0.f.2", "280.36.1.a.1"]}