# Data for modular curve with label 120.72.2-120.cv.1.22, downloaded from the LMFDB on 02 June 2024.
{"label": "120.72.2-120.cv.1.22", "coarse_level": 120, "coarse_index": 36, "genus": 2, "coarse_label": "120.36.2.cv.1", "coarse_class": "120.36.2.cv", "coarse_class_num": 74, "coarse_num": 1, "level": 120, "index": 72, "fine_num": 22, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[25, 22, 76, 119], [47, 98, 50, 103], [68, 27, 111, 100], [89, 76, 110, 107], [90, 1, 43, 84], [102, 71, 103, 18]], "canonical_generators": [[0, 1, 31, 66], [0, 1, 79, 18], [0, 1, 79, 42], [0, 7, 49, 66], [0, 113, 83, 78], [1, 0, 24, 1], [1, 24, 0, 1], [24, 35, 85, 54], [24, 95, 25, 54], [24, 115, 5, 54], [25, 24, 96, 97], [94, 65, 95, 104], [94, 85, 115, 104], [96, 55, 65, 6], [118, 119, 31, 70]], "parents": ["24.36.1-12.c.1.9", "60.36.1-12.c.1.1", "120.24.0-40.z.1.13"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "6.9.0.a.1", "6.9.0.a.1", "12.18.1.c.1", "24.36.1-12.c.1.9", "40.12.0.z.1", "60.36.1-12.c.1.1"], "factorization": [], "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": 36, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 24, "sl2level": 24, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[3, 2], [6, 1], [24, 1]], "psl2label": "24.36.2.b.1", "sl2label": "24.36.2.b.1", "CPlabel": "24B2", "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": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "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": ["12.18.1.c.1", "40.12.0.z.1"]}