# Data for modular curve with label 120.144.4-120.bo.1.123, downloaded from the LMFDB on 02 June 2024.
{"label": "120.144.4-120.bo.1.123", "coarse_level": 120, "coarse_index": 72, "genus": 4, "coarse_label": "120.72.4.bo.1", "coarse_class": "120.72.4.bo", "coarse_class_num": 41, "coarse_num": 1, "level": 120, "index": 144, "fine_num": 123, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[5, 118, 28, 7], [25, 2, 116, 57], [49, 80, 68, 77], [65, 86, 84, 37], [69, 74, 68, 77], [91, 2, 116, 105], [107, 114, 56, 73]], "canonical_generators": [[1, 0, 24, 1], [1, 24, 0, 1], [3, 22, 28, 109], [13, 2, 8, 69], [25, 24, 96, 97], [31, 50, 80, 71], [39, 70, 80, 39], [115, 118, 36, 89], [119, 70, 40, 79], [119, 70, 100, 79], [119, 110, 80, 79], [119, 118, 40, 69], [119, 118, 112, 45], [119, 118, 112, 93]], "parents": ["12.72.2-12.b.1.6", "120.48.0-120.u.1.51", "120.72.2-12.b.1.19"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "6.18.1.a.1", "6.18.1.a.1", "12.72.2-12.b.1.6", "12.72.2-12.b.1.6", "12.72.2-12.b.1.6", "40.24.0-4.b.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [5, 24, 1], [6, 8, 3], [8, 8, 2], [8, 16, 2], [10, 24, 3], [12, 16, 2], [12, 32, 2], [15, 192, 1], [20, 48, 2], [20, 96, 2], [24, 64, 2], [24, 128, 2], [30, 192, 3], [40, 192, 2], [40, 384, 2], [60, 384, 2], [60, 768, 2], [120, 1536, 2], [120, 3072, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 12, 1], [6, 4, 3], [8, 4, 2], [8, 8, 2], [10, 12, 3], [12, 8, 2], [12, 16, 2], [15, 96, 1], [20, 24, 2], [20, 48, 2], [24, 32, 2], [24, 64, 2], [30, 96, 3], [40, 96, 2], [40, 192, 2], [60, 192, 2], [60, 384, 2], [120, 768, 2], [120, 1536, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 6, 1], [6, 4, 3], [8, 2, 2], [8, 4, 2], [10, 6, 3], [12, 4, 2], [12, 8, 2], [15, 24, 1], [20, 6, 2], [20, 12, 2], [24, 8, 2], [24, 16, 2], [30, 24, 3], [40, 12, 2], [40, 24, 2], [60, 24, 2], [60, 48, 2], [120, 48, 2], [120, 96, 2]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 24, "sl2level": 24, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[6, 2], [12, 3], [24, 1]], "psl2label": "24.72.4.c.1", "sl2label": "24.72.4.c.1", "CPlabel": "24G4", "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": [3, 4], "qbar_gonality": null, "qbar_gonality_bounds": [3, 4], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "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": ["12.36.2.b.1", "120.24.0.u.1"]}