# Data for modular curve with label 120.120.8.de.1, downloaded from the LMFDB on 11 June 2024.
{"label": "120.120.8.de.1", "coarse_level": 120, "coarse_index": 120, "genus": 8, "coarse_label": "120.120.8.de.1", "coarse_class": "120.120.8.de", "coarse_class_num": 83, "coarse_num": 1, "level": 120, "index": 120, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[3, 98, 32, 25], [39, 44, 4, 11], [47, 45, 60, 77], [93, 20, 8, 47], [115, 73, 8, 81]], "canonical_generators": [[1, 0, 40, 1], [1, 1, 24, 65], [1, 1, 72, 41], [1, 1, 84, 65], [1, 2, 32, 75], [1, 6, 24, 25], [1, 7, 56, 99], [1, 9, 8, 113], [1, 40, 0, 1], [1, 42, 72, 25], [41, 40, 80, 81], [43, 42, 24, 43], [85, 54, 96, 61]], "parents": ["24.24.0.bk.1", "40.60.4.bk.1", "60.60.4.l.1", "120.60.4.bw.1"], "parents_conj": [[1, 0, 0, 1], [37, 61, 45, 4], [61, 0, 30, 1], [101, 53, 15, 62]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "5.5.0.a.1", "5.5.0.a.1", "8.12.0.m.1", "10.15.1.a.1", "10.15.1.a.1", "12.12.0.h.1", "20.30.2.c.1", "24.24.0.bk.1", "40.60.4.bk.1", "60.60.4.l.1"], "factorization": ["5.5.0.a.1", "24.24.0.bk.1"], "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, 8, 2], [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, 64, 2], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 192, 2], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 1536, 2], [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": 120, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 40, "sl2level": 40, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[10, 4], [40, 2]], "psl2label": "40.120.8.b.1", "sl2label": "40.120.8.b.1", "CPlabel": "40A8", "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": [3, 14], "qbar_gonality": null, "qbar_gonality_bounds": [3, 8], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [7], "pointless": true, "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}