# Data for modular curve with label 120.288.15.dhc.1, downloaded from the LMFDB on 02 June 2024.
{"label": "120.288.15.dhc.1", "coarse_level": 120, "coarse_index": 288, "genus": 15, "coarse_label": "120.288.15.dhc.1", "coarse_class": "120.288.15.dhc", "coarse_class_num": 2213, "coarse_num": 1, "level": 120, "index": 288, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[31, 38, 84, 95], [47, 56, 44, 3], [65, 92, 8, 37], [95, 56, 56, 73], [111, 94, 76, 5], [111, 106, 104, 75]], "canonical_generators": [[1, 0, 24, 1], [1, 2, 104, 95], [1, 4, 4, 27], [1, 4, 4, 75], [1, 4, 100, 51], [1, 8, 36, 35], [1, 10, 4, 81], [1, 20, 80, 41], [1, 24, 0, 1], [1, 50, 80, 41], [1, 110, 80, 41], [25, 24, 96, 97], [31, 50, 80, 71]], "parents": ["24.144.8.er.1", "120.144.7.bap.2", "120.144.7.baq.1", "120.144.7.blk.1", "120.144.8.hy.2", "120.144.8.hz.1", "120.144.8.ou.1"], "parents_conj": [[1, 0, 0, 1], [43, 103, 16, 29], [1, 0, 0, 1], [59, 119, 62, 49], [29, 89, 32, 49], [1, 0, 0, 1], [113, 0, 86, 79]], "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "6.18.1.a.1", "6.18.1.a.1", "8.24.0.e.2", "8.24.0.e.2", "12.36.2.b.1", "12.36.2.b.1", "24.144.8.er.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [5, 24, 1], [6, 8, 3], [8, 4, 2], [8, 8, 1], [8, 16, 2], [10, 24, 3], [12, 16, 2], [12, 32, 2], [15, 192, 1], [20, 48, 2], [20, 96, 2], [24, 32, 2], [24, 64, 1], [24, 128, 2], [30, 192, 3], [40, 96, 2], [40, 192, 1], [40, 384, 2], [60, 384, 2], [60, 768, 2], [120, 768, 2], [120, 1536, 1], [120, 3072, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 12, 1], [6, 4, 3], [8, 2, 2], [8, 4, 1], [8, 8, 2], [10, 12, 3], [12, 8, 2], [12, 16, 2], [15, 96, 1], [20, 24, 2], [20, 48, 2], [24, 16, 2], [24, 32, 1], [24, 64, 2], [30, 96, 3], [40, 48, 2], [40, 96, 1], [40, 192, 2], [60, 192, 2], [60, 384, 2], [120, 384, 2], [120, 768, 1], [120, 1536, 2]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [5, 6, 1], [6, 4, 3], [8, 2, 2], [8, 4, 2], [10, 6, 3], [12, 4, 2], [12, 8, 2], [15, 24, 1], [20, 6, 2], [20, 12, 2], [24, 8, 2], [24, 16, 2], [30, 24, 3], [40, 12, 2], [40, 24, 2], [60, 24, 2], [60, 48, 2], [120, 48, 2], [120, 96, 2]], "psl2index": 288, "nu2": 0, "nu3": 0, "cusps": 20, "psl2level": 24, "sl2level": 24, "rational_cusps": 0, "cusp_orbits": [[2, 2], [4, 2], [8, 1]], "cusp_widths": [[6, 8], [12, 4], [24, 8]], "psl2label": "24.288.15.g.1", "sl2label": "24.288.15.g.1", "CPlabel": "24E15", "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": [4, 28], "qbar_gonality": null, "qbar_gonality_bounds": [4, 15], "bad_primes": [2, 3, 5], "num_bad_primes": 3, "level_radical": 30, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [61], "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}