# Data for modular curve with label 120.48.0-120.fm.1.10, downloaded from the LMFDB on 05 June 2024. {"label": "120.48.0-120.fm.1.10", "coarse_level": 120, "coarse_index": 24, "genus": 0, "coarse_label": "120.24.0.fm.1", "coarse_class": "120.24.0.fm", "coarse_class_num": 143, "coarse_num": 1, "level": 120, "index": 48, "fine_num": 10, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[3, 22, 10, 63], [35, 42, 24, 101], [45, 62, 82, 59], [52, 77, 1, 102], [69, 28, 14, 109]], "canonical_generators": [[0, 1, 11, 106], [0, 1, 59, 58], [0, 1, 59, 82], [0, 1, 89, 82], [0, 1, 103, 96], [0, 119, 101, 78], [7, 6, 114, 115], [91, 50, 100, 51], [119, 0, 114, 119], [119, 114, 0, 119]], "parents": ["12.24.0-6.a.1.6", "120.24.0-6.a.1.16"], "parents_conj": null, "reductions": ["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", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6", "40.6.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [15, 48, 1], [15, 144, 1], [20, 96, 1], [20, 192, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [30, 48, 1], [30, 96, 1], [30, 144, 1], [30, 288, 1], [40, 384, 1], [40, 768, 1], [60, 192, 1], [60, 384, 1], [60, 576, 1], [60, 1152, 1], [120, 768, 1], [120, 1536, 1], [120, 2304, 1], [120, 4608, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 48, 1], [20, 96, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [40, 192, 1], [40, 384, 1], [60, 96, 1], [60, 192, 1], [60, 288, 1], [60, 576, 1], [120, 384, 1], [120, 768, 1], [120, 1152, 1], [120, 2304, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 12, 1], [20, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [40, 24, 1], [40, 48, 1], [60, 12, 1], [60, 24, 1], [60, 36, 1], [60, 72, 1], [120, 24, 1], [120, 48, 1], [120, 72, 1], [120, 144, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 6, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[2, 3], [6, 3]], "psl2label": "6.24.0.a.1", "sl2label": "6.24.0.a.1", "CPlabel": "6I0", "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": ["6.12.0.a.1", "40.6.0.a.1", "120.8.0.a.1"]}