# Data for modular curve with label 120.240.7-120.di.1.17, downloaded from the LMFDB on 23 May 2024.
{"label": "120.240.7-120.di.1.17", "coarse_level": 120, "coarse_index": 120, "genus": 7, "coarse_label": "120.120.7.di.1", "coarse_class": "120.120.7.di", "coarse_class_num": 87, "coarse_num": 1, "level": 120, "index": 240, "fine_num": 17, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[11, 84, 96, 115], [14, 117, 73, 86], [15, 16, 86, 45], [62, 75, 45, 92], [74, 41, 5, 106], [116, 53, 109, 44]], "canonical_generators": [[0, 1, 71, 10], [0, 1, 71, 50], [0, 11, 29, 66], [0, 113, 43, 110], [1, 0, 40, 1], [1, 40, 0, 1], [2, 7, 63, 34], [2, 17, 63, 64], [40, 9, 111, 34], [40, 21, 99, 106], [40, 81, 39, 106], [40, 93, 3, 10], [41, 40, 80, 81], [80, 69, 51, 74]], "parents": ["24.24.0-24.ba.1.12", "40.120.3-20.c.1.1", "60.120.3-20.c.1.2"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "5.10.0.a.1", "5.10.0.a.1", "8.12.0-4.c.1.5", "10.30.1.a.1", "10.30.1.a.1", "12.12.0-4.c.1.1", "20.60.3.c.1", "24.24.0-24.ba.1.12", "40.120.3-20.c.1.1", "60.120.3-20.c.1.2"], "factorization": ["5.10.0.a.1", "24.24.0-24.ba.1.12"], "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, 4, 2], [8, 8, 1], [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, 32, 2], [24, 64, 1], [24, 256, 1], [30, 192, 1], [30, 384, 1], [40, 96, 2], [40, 192, 1], [40, 768, 1], [60, 384, 2], [60, 1536, 1], [120, 768, 2], [120, 1536, 1], [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": 8, "psl2level": 40, "sl2level": 40, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 1]], "cusp_widths": [[5, 4], [10, 2], [40, 2]], "psl2label": "40.120.7.b.1", "sl2label": "40.120.7.b.1", "CPlabel": "40G7", "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, 12], "qbar_gonality": null, "qbar_gonality_bounds": [3, 7], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "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, "coarse_parents": ["20.60.3.c.1", "24.12.0.ba.1"]}