# Data for modular curve with label 120.48.0-120.ea.1.7, downloaded from the LMFDB on 25 May 2024. {"label": "120.48.0-120.ea.1.7", "coarse_level": 120, "coarse_index": 24, "genus": 0, "coarse_label": "120.24.0.ea.1", "coarse_class": "120.24.0.ea", "coarse_class_num": 105, "coarse_num": 1, "level": 120, "index": 48, "fine_num": 7, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[1, 16, 64, 47], [19, 108, 64, 17], [61, 40, 49, 3], [83, 68, 34, 35]], "canonical_generators": [[1, 0, 1, 41], [1, 0, 8, 1], [1, 0, 90, 1], [1, 8, 0, 1], [3, 4, 5, 79], [9, 8, 112, 113], [29, 0, 30, 29], [61, 0, 90, 61], [119, 116, 91, 33], [119, 116, 91, 105], [119, 116, 115, 9], [119, 116, 115, 69]], "parents": ["24.24.0-24.ba.1.12", "40.24.0-40.ba.1.10", "60.24.0-60.h.1.4", "120.24.0-24.ba.1.15", "120.24.0-40.ba.1.9", "120.24.0-60.h.1.11"], "parents_conj": null, "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.c.1", "8.12.0-4.c.1.5", "12.12.0-4.c.1.1", "20.12.0-4.c.1.2", "24.24.0-24.ba.1.12", "40.24.0-40.ba.1.10", "60.24.0-60.h.1.4"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 16, 2], [12, 64, 1], [15, 192, 1], [20, 48, 2], [20, 192, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 768, 2], [120, 1536, 1], [120, 6144, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 8, 2], [12, 32, 1], [15, 96, 1], [20, 24, 2], [20, 96, 1], [24, 32, 2], [24, 128, 1], [30, 96, 1], [30, 192, 1], [40, 96, 2], [40, 384, 1], [60, 192, 2], [60, 768, 1], [120, 768, 2], [120, 3072, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 4, 2], [12, 16, 1], [15, 24, 1], [20, 6, 2], [20, 24, 1], [24, 8, 2], [24, 32, 1], [30, 24, 1], [30, 48, 1], [40, 12, 2], [40, 48, 1], [60, 24, 2], [60, 96, 1], [120, 48, 2], [120, 192, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[2, 4], [8, 2]], "psl2label": "8.24.0.b.1", "sl2label": "8.24.0.b.1", "CPlabel": "8G0", "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, "coarse_parents": ["24.12.0.ba.1", "40.12.0.ba.1", "60.12.0.h.1"]}