# Data for modular curve with label 120.144.4-120.d.1.8, downloaded from the LMFDB on 02 June 2024.
{"label": "120.144.4-120.d.1.8", "coarse_level": 120, "coarse_index": 72, "genus": 4, "coarse_label": "120.72.4.d.1", "coarse_class": "120.72.4.d", "coarse_class_num": 4, "coarse_num": 1, "level": 120, "index": 144, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[17, 86, 114, 31], [61, 32, 44, 77], [81, 8, 88, 63], [83, 114, 48, 47], [89, 110, 108, 109]], "canonical_generators": [[1, 0, 12, 1], [1, 2, 8, 27], [1, 2, 8, 75], [1, 2, 80, 21], [1, 2, 80, 51], [1, 12, 0, 1], [13, 12, 108, 109], [61, 80, 80, 101], [61, 100, 100, 101], [69, 20, 40, 69], [119, 104, 102, 25], [119, 112, 100, 9]], "parents": ["24.72.2-24.a.1.12", "60.72.2-60.b.1.6", "120.48.0-40.d.1.3", "120.72.2-24.a.1.1", "120.72.2-60.b.1.13", "120.72.2-120.b.1.5", "120.72.2-120.b.1.30"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "6.18.1.a.1", "6.18.1.a.1", "8.12.0.a.1", "12.36.1-6.a.1.2", "20.12.0.b.1", "24.72.2-24.a.1.12", "40.24.0.d.1", "60.72.2-60.b.1.6"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 4, 3], [5, 24, 1], [6, 8, 3], [8, 16, 3], [10, 24, 3], [12, 32, 3], [15, 192, 1], [20, 96, 3], [24, 128, 3], [30, 192, 3], [40, 384, 3], [60, 768, 3], [120, 3072, 3]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 12, 1], [6, 4, 3], [8, 8, 3], [10, 12, 3], [12, 16, 3], [15, 96, 1], [20, 48, 3], [24, 64, 3], [30, 96, 3], [40, 192, 3], [60, 384, 3], [120, 1536, 3]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [5, 6, 1], [6, 4, 3], [8, 4, 3], [10, 6, 3], [12, 8, 3], [15, 24, 1], [20, 12, 3], [24, 16, 3], [30, 24, 3], [40, 24, 3], [60, 48, 3], [120, 96, 3]], "psl2index": 72, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 12, "sl2level": 12, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[12, 6]], "psl2label": "12.72.4.a.1", "sl2label": "12.72.4.a.1", "CPlabel": "12A4", "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, 6], "qbar_gonality": null, "qbar_gonality_bounds": [2, 4], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["24.36.2.a.1", "40.24.0.d.1", "60.36.2.b.1", "120.36.2.b.1"]}