# Data for modular curve with label 120.48.0-120.u.1.51, downloaded from the LMFDB on 19 May 2024.
{"label": "120.48.0-120.u.1.51", "coarse_level": 120, "coarse_index": 24, "genus": 0, "coarse_label": "120.24.0.u.1", "coarse_class": "120.24.0.u", "coarse_class_num": 21, "coarse_num": 1, "level": 120, "index": 48, "fine_num": 51, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[7, 96, 118, 1], [59, 16, 64, 75], [71, 116, 112, 89], [97, 32, 26, 45], [107, 48, 80, 103], [119, 32, 66, 47]], "canonical_generators": [[1, 0, 8, 1], [1, 4, 24, 115], [1, 4, 44, 15], [1, 4, 44, 75], [1, 8, 0, 1], [3, 4, 4, 49], [9, 8, 112, 113], [31, 0, 90, 31], [119, 0, 30, 119], [119, 60, 30, 119], [119, 112, 98, 15], [119, 116, 108, 85]], "parents": ["12.24.0-4.b.1.2", "40.24.0-4.b.1.2"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "12.24.0-4.b.1.2", "12.24.0-4.b.1.2", "12.24.0-4.b.1.2", "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": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[2, 2], [4, 3], [8, 1]], "psl2label": "8.24.0.a.1", "sl2label": "8.24.0.a.1", "CPlabel": "8J0", "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": 1, "q_gonality_bounds": [1, 1], "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": 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": ["4.12.0.b.1"]}