# Data for modular curve with label 56.24.0-56.y.1.1, downloaded from the LMFDB on 01 June 2024.
{"label": "56.24.0-56.y.1.1", "coarse_level": 56, "coarse_index": 12, "genus": 0, "coarse_label": "56.12.0.y.1", "coarse_class": "56.12.0.y", "coarse_class_num": 25, "coarse_num": 1, "level": 56, "index": 24, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[12, 37, 53, 4], [30, 29, 39, 4], [43, 30, 20, 49], [47, 18, 6, 47]], "canonical_generators": [[0, 1, 5, 36], [0, 1, 19, 50], [0, 1, 47, 34], [0, 1, 47, 50], [0, 3, 13, 50], [1, 0, 8, 1], [1, 8, 0, 1], [8, 21, 35, 50], [8, 49, 7, 50], [9, 8, 48, 49], [48, 21, 35, 34]], "parents": ["8.12.0-4.c.1.2", "28.12.0-4.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", "8.12.0-4.c.1.2", "28.12.0-4.c.1.2"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 384, 2], [56, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 192, 2], [56, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 16, 2], [56, 64, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[1, 2], [2, 1], [8, 1]], "psl2label": "8.12.0.a.1", "sl2label": "8.24.0-8.a.1.2", "CPlabel": "8C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.24.0.210", "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": 775, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [15, 0, 28, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 774, "num_known_degree1_noncm_points": 774, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.6.0.c.1"]}