# Data for modular curve with label 120.96.3-120.bt.1.3, downloaded from the LMFDB on 02 June 2024.
{"label": "120.96.3-120.bt.1.3", "coarse_level": 120, "coarse_index": 48, "genus": 3, "coarse_label": "120.48.3.bt.1", "coarse_class": "120.48.3.bt", "coarse_class_num": 46, "coarse_num": 1, "level": 120, "index": 96, "fine_num": 3, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[13, 60, 85, 113], [28, 39, 49, 68], [59, 43, 113, 54], [77, 90, 68, 79], [104, 97, 113, 33]], "canonical_generators": [[0, 1, 29, 82], [0, 1, 59, 82], [0, 1, 109, 57], [0, 11, 109, 107], [0, 13, 17, 106], [0, 13, 41, 82], [0, 19, 71, 58], [0, 29, 91, 113], [0, 113, 103, 95], [1, 0, 30, 1], [1, 30, 0, 1], [31, 30, 90, 91], [117, 77, 103, 116]], "parents": ["24.16.0-24.d.1.1", "30.48.1-15.a.1.4", "120.48.1-15.a.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "3.4.0.a.1", "5.6.0.a.1", "5.6.0.a.1", "5.6.0.a.1", "5.6.0.a.1", "6.8.0-3.a.1.2", "6.8.0-3.a.1.2", "15.24.1.a.1", "24.16.0-24.d.1.1", "30.48.1-15.a.1.4", "30.48.1-15.a.1.4"], "factorization": ["5.6.0.a.1", "24.16.0-24.d.1.1"], "orbits": [[2, 3, 1], [3, 2, 1], [3, 6, 1], [4, 12, 1], [5, 4, 1], [5, 20, 1], [6, 6, 1], [6, 18, 1], [8, 48, 1], [10, 12, 1], [10, 60, 1], [12, 24, 1], [12, 72, 1], [15, 8, 1], [15, 24, 1], [15, 40, 1], [15, 120, 1], [20, 48, 1], [20, 240, 1], [24, 96, 1], [24, 288, 1], [30, 24, 1], [30, 72, 1], [30, 120, 1], [30, 360, 1], [40, 192, 1], [40, 960, 1], [60, 96, 1], [60, 288, 1], [60, 480, 1], [60, 1440, 1], [120, 384, 1], [120, 1152, 1], [120, 1920, 1], [120, 5760, 1]], "kummer_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [5, 2, 1], [5, 10, 1], [6, 3, 1], [6, 9, 1], [8, 24, 1], [10, 6, 1], [10, 30, 1], [12, 12, 1], [12, 36, 1], [15, 4, 1], [15, 12, 1], [15, 20, 1], [15, 60, 1], [20, 24, 1], [20, 120, 1], [24, 48, 1], [24, 144, 1], [30, 12, 1], [30, 36, 1], [30, 60, 1], [30, 180, 1], [40, 96, 1], [40, 480, 1], [60, 48, 1], [60, 144, 1], [60, 240, 1], [60, 720, 1], [120, 192, 1], [120, 576, 1], [120, 960, 1], [120, 2880, 1]], "isogeny_orbits": [[2, 3, 1], [3, 1, 1], [3, 3, 1], [4, 6, 1], [5, 1, 1], [5, 5, 1], [6, 3, 1], [6, 9, 1], [8, 12, 1], [10, 3, 1], [10, 15, 1], [12, 6, 1], [12, 18, 1], [15, 1, 1], [15, 3, 1], [15, 5, 1], [15, 15, 1], [20, 6, 1], [20, 30, 1], [24, 12, 1], [24, 36, 1], [30, 3, 1], [30, 9, 1], [30, 15, 1], [30, 45, 1], [40, 12, 1], [40, 60, 1], [60, 6, 1], [60, 18, 1], [60, 30, 1], [60, 90, 1], [120, 12, 1], [120, 36, 1], [120, 60, 1], [120, 180, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 30, "sl2level": 30, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 1], [6, 1], [10, 1], [30, 1]], "psl2label": "30.48.3.a.1", "sl2label": "30.48.3.a.1", "CPlabel": "30G3", "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, 3], "qbar_gonality": null, "qbar_gonality_bounds": [2, 3], "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": ["15.24.1.a.1", "24.8.0.d.1", "120.12.1.bl.1"]}