# Data for modular curve with label 140.144.3-140.cu.2.15, downloaded from the LMFDB on 12 June 2024.
{"label": "140.144.3-140.cu.2.15", "coarse_level": 140, "coarse_index": 72, "genus": 3, "coarse_label": "140.72.3.cu.2", "coarse_class": "140.72.3.cu", "coarse_class_num": 73, "coarse_num": 2, "level": 140, "index": 144, "fine_num": 15, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[44, 115, 115, 94], [73, 138, 34, 67], [88, 51, 35, 134], [101, 40, 22, 119]], "canonical_generators": [[0, 9, 27, 92], [0, 139, 51, 118], [0, 139, 101, 118], [0, 139, 121, 8], [0, 139, 121, 48], [1, 0, 20, 1], [1, 20, 0, 1], [20, 119, 21, 48], [21, 20, 120, 121], [118, 91, 49, 90], [120, 49, 91, 8]], "parents": ["10.72.0-10.a.2.4", "140.72.0-10.a.2.5"], "parents_conj": null, "reductions": ["1.1.0.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", "28.6.0.d.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 2, 2], [5, 20, 1], [7, 48, 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], [70, 96, 6], [70, 960, 1], [70, 1920, 1], [140, 384, 6], [140, 3840, 1], [140, 7680, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 2], [5, 10, 1], [7, 24, 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], [70, 48, 2], [70, 96, 2], [70, 480, 1], [70, 960, 1], [140, 192, 2], [140, 384, 2], [140, 1920, 1], [140, 3840, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 1, 1], [5, 5, 1], [7, 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], [70, 8, 1], [70, 16, 1], [70, 40, 1], [70, 80, 1], [140, 16, 1], [140, 32, 1], [140, 80, 1], [140, 160, 1]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 20, "sl2level": 20, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[2, 2], [4, 2], [10, 2], [20, 2]], "psl2label": "20.72.3.d.1", "sl2label": "20.72.3.d.1", "CPlabel": "20G3", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "simple": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [2, 3], "qbar_gonality": null, "qbar_gonality_bounds": [2, 3], "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", "140.36.1.i.1", "140.36.2.b.2"]}