# Data for modular curve with label 120.24.0.oj.1, downloaded from the LMFDB on 29 May 2024.
{"label": "120.24.0.oj.1", "coarse_level": 120, "coarse_index": 24, "genus": 0, "coarse_label": "120.24.0.oj.1", "coarse_class": "120.24.0.oj", "coarse_class_num": 374, "coarse_num": 1, "level": 120, "index": 24, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[18, 53, 17, 94], [26, 7, 93, 70], [42, 77, 85, 34], [82, 15, 113, 98], [115, 86, 22, 111]], "canonical_generators": [[0, 1, 29, 112], [0, 1, 59, 52], [0, 1, 71, 16], [0, 1, 71, 56], [0, 1, 103, 96], [1, 0, 8, 1], [1, 8, 0, 1], [2, 1, 59, 110], [9, 8, 112, 113], [16, 75, 45, 16], [16, 105, 15, 16], [76, 105, 15, 76]], "parents": ["8.12.0.y.1", "60.12.0.bn.1", "120.12.0.eq.1"], "parents_conj": [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "1.1.0.a.1", "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", "4.6.0.e.1", "4.6.0.e.1", "4.6.0.e.1", "8.12.0.y.1", "8.12.0.y.1", "8.12.0.y.1", "60.12.0.bn.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 32, 1], [12, 64, 1], [15, 192, 1], [20, 96, 1], [20, 192, 1], [24, 128, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 384, 1], [40, 768, 1], [60, 768, 1], [60, 1536, 1], [120, 3072, 1], [120, 6144, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 16, 1], [12, 32, 1], [15, 96, 1], [20, 48, 1], [20, 96, 1], [24, 64, 1], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 192, 1], [40, 384, 1], [60, 384, 1], [60, 768, 1], [120, 1536, 1], [120, 3072, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 8, 1], [12, 16, 1], [15, 24, 1], [20, 12, 1], [20, 24, 1], [24, 16, 1], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 24, 1], [40, 48, 1], [60, 48, 1], [60, 96, 1], [120, 96, 1], [120, 192, 1]], "psl2index": 24, "nu2": 4, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 2]], "cusp_widths": [[4, 2], [8, 2]], "psl2label": "8.24.0.e.1", "sl2label": "8.24.0.e.1", "CPlabel": "8H0", "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": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [1, 2], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "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}