# Data for modular curve with label 56.24.0.bh.1, downloaded from the LMFDB on 03 June 2024.
{"label": "56.24.0.bh.1", "coarse_level": 56, "coarse_index": 24, "genus": 0, "coarse_label": "56.24.0.bh.1", "coarse_class": "56.24.0.bh", "coarse_class_num": 34, "coarse_num": 1, "level": 56, "index": 24, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[13, 0, 52, 9], [20, 15, 37, 18], [30, 17, 39, 44], [30, 39, 7, 54], [37, 10, 10, 53]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 3, 49], [1, 4, 13, 33], [1, 8, 0, 1], [1, 8, 11, 35], [3, 4, 3, 47], [9, 8, 48, 49], [29, 0, 42, 29], [43, 0, 42, 43]], "parents": ["8.12.0.n.1", "56.12.0.s.1", "56.12.0.bb.1"], "parents_conj": [[23, 14, 29, 13], [1, 0, 0, 1], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 192, 2], [56, 384, 1], [56, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 96, 2], [56, 192, 1], [56, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 8, 2], [56, 16, 1], [56, 64, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[2, 4], [8, 2]], "psl2label": "8.24.0.b.1", "sl2label": "8.24.0.b.1", "CPlabel": "8G0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.24.0.133", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 0, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": 0, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 26, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "8.12.0.n.1", "56.2.0.a.1", "56.6.0.a.1", "56.6.0.e.1", "56.12.0.s.1", "56.12.0.bb.1", "56.24.0.bh.1"], "lattice_x": [2305, 3695, 6305, 8746, 915, 1085, 3525, 3525, 5966, 5966], "curve_label": null, "canonical_conjugator": [48, 27, 55, 15], "has_obstruction": -1, "num_known_degree1_noncusp_points": 25, "num_known_degree1_noncm_points": 25, "models": 1, "all_degree1_points_known": null}