# Data for modular curve with label 120.192.3-120.sn.4.27, downloaded from the LMFDB on 11 June 2024.
{"label": "120.192.3-120.sn.4.27", "coarse_level": 120, "coarse_index": 96, "genus": 3, "coarse_label": "120.96.3.sn.4", "coarse_class": "120.96.3.sn", "coarse_class_num": 482, "coarse_num": 4, "level": 120, "index": 192, "fine_num": 27, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[6, 77, 67, 80], [16, 101, 63, 2], [75, 118, 28, 105], [101, 72, 62, 31], [104, 85, 113, 84]], "canonical_generators": [[0, 11, 13, 2], [0, 11, 49, 2], [0, 11, 61, 86], [0, 109, 91, 78], [0, 113, 13, 68], [0, 119, 49, 14], [1, 0, 24, 1], [1, 24, 0, 1], [24, 35, 85, 14], [24, 95, 25, 14], [25, 24, 96, 97], [96, 35, 85, 86]], "parents": ["12.96.0-12.c.3.3", "120.96.0-12.c.3.15", "120.96.1-120.zx.1.20", "120.96.1-120.zx.1.61", "120.96.2-120.h.2.22", "120.96.2-120.h.2.53"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "6.24.0-6.a.1.2", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "40.12.0-4.c.1.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [5, 24, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [8, 8, 2], [8, 32, 1], [10, 24, 1], [10, 48, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [15, 48, 1], [15, 72, 2], [20, 48, 2], [20, 192, 1], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [30, 48, 1], [30, 72, 2], [30, 96, 1], [30, 144, 2], [40, 192, 2], [40, 768, 1], [60, 96, 2], [60, 144, 4], [60, 192, 2], [60, 576, 2], [120, 384, 2], [120, 576, 4], [120, 768, 2], [120, 2304, 2]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [5, 12, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [10, 12, 1], [10, 24, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [15, 24, 1], [15, 72, 1], [20, 24, 2], [20, 96, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [30, 24, 1], [30, 48, 1], [30, 72, 1], [30, 144, 1], [40, 96, 2], [40, 384, 1], [60, 48, 2], [60, 96, 2], [60, 144, 2], [60, 576, 1], [120, 192, 2], [120, 384, 2], [120, 576, 2], [120, 2304, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [5, 6, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [10, 6, 1], [10, 12, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [15, 6, 1], [15, 18, 1], [20, 6, 2], [20, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [30, 6, 1], [30, 12, 1], [30, 18, 1], [30, 36, 1], [40, 12, 2], [40, 48, 1], [60, 6, 2], [60, 18, 2], [60, 24, 1], [60, 72, 1], [120, 12, 2], [120, 36, 2], [120, 48, 1], [120, 144, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 24, "sl2level": 24, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 5]], "cusp_widths": [[2, 4], [6, 4], [8, 2], [24, 2]], "psl2label": "24.96.3.g.1", "sl2label": "24.96.3.g.1", "CPlabel": "24W3", "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": ["12.48.0.c.3", "120.48.1.zx.1", "120.48.2.h.2"]}