# Data for modular curve with label 120.96.3-30.e.2.5, downloaded from the LMFDB on 02 June 2024.
{"label": "120.96.3-30.e.2.5", "coarse_level": 30, "coarse_index": 48, "genus": 3, "coarse_label": "30.48.3.e.2", "coarse_class": "30.48.3.e", "coarse_class_num": 5, "coarse_num": 2, "level": 120, "index": 96, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "15.4.2", "generators": [[4, 63, 45, 67], [21, 86, 107, 45], [27, 59, 10, 71], [97, 5, 91, 36], [101, 3, 119, 40]], "canonical_generators": [[0, 1, 29, 7], [0, 13, 7, 21], [0, 13, 17, 16], [0, 19, 17, 22], [0, 23, 7, 26], [0, 101, 109, 107], [0, 113, 103, 110], [1, 0, 30, 1], [1, 30, 0, 1], [31, 0, 0, 1], [31, 30, 90, 91], [59, 0, 0, 119], [117, 107, 103, 116]], "parents": ["120.48.1-15.a.1.3", "120.48.1-15.a.1.31"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "3.4.0.a.1", "3.4.0.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", "15.24.1.a.1", "24.8.0-3.a.1.2", "30.48.3.e.2", "30.48.3.e.2"], "factorization": [], "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.b.1", "sl2label": "30.48.3.b.1", "CPlabel": "30F3", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": ["15.2.a.a", "180.2.d.a"], "dims": null, "mults": null, "traces": [-1, -1, -1, 0, 4, -2, 2, 4, 0, -14, 8, -10, 30, 4, 8, -10, 4, 2, 12, -8, 10, 24, 12, -26, 2, 10, -16, -12, 18, 2, -8, -36, -6, -36, 18, -48, 14, -4, 0, -18, 28, -30, -32, 2, 6, 16, 20, 8, -20, -46, -6, 0, -18, 36, 18, 16, 26, 24, 6, -18, -12, 6, 28, -72, 26, -2, -4, -14, -28, 26, 18, 24, -24, -26, -36, -24, -62, -2, 46, -26, -52, -6, -16, -14, 64, -12, 38, 10, -30, 24, 28, -32, 32, 100, -44, -32, 50, 86, 4, 26, -20, -18, 12, 46, 76, 2, -12, 34, -56, 102, -8, 22, -6, 28, -64, -58, -36, 32, 46, 76, -22, -30, 6, 36, -108, -54, -14, -32, -16, 14, -124, -16, -40, -26, -90, 38, 6, 28, -2, 22, 92, 82, 32, -28, 66, -72, 6, -22, 60, -56, 30, -106, 44, 48, -12, -64, 64, 70, -54, -30, -36, -22, 32, 84, 2, 0, 88, 54], "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", "30.12.0.a.1"]}