# Data for modular curve with label 56.48.0-56.i.1.6, downloaded from the LMFDB on 15 May 2024.
{"label": "56.48.0-56.i.1.6", "coarse_level": 56, "coarse_index": 24, "genus": 0, "coarse_label": "56.24.0.i.1", "coarse_class": "56.24.0.i", "coarse_class_num": 9, "coarse_num": 1, "level": 56, "index": 48, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[1, 16, 40, 43], [39, 8, 20, 43], [39, 24, 2, 13], [41, 4, 44, 23], [45, 32, 52, 49]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 42, 1], [1, 4, 8, 35], [1, 8, 0, 1], [1, 8, 10, 33], [1, 8, 26, 49], [5, 8, 6, 17], [9, 8, 48, 49], [41, 0, 14, 41], [51, 48, 30, 11], [55, 28, 14, 55]], "parents": ["8.24.0-4.b.1.10", "56.24.0-4.b.1.5"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "8.24.0-4.b.1.10"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [7, 48, 1], [8, 8, 2], [8, 16, 2], [14, 48, 3], [28, 96, 2], [28, 192, 2], [56, 384, 2], [56, 768, 2]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 24, 1], [8, 4, 2], [8, 8, 2], [14, 24, 3], [28, 48, 2], [28, 96, 2], [56, 192, 2], [56, 384, 2]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 8, 1], [8, 2, 2], [8, 4, 2], [14, 8, 3], [28, 8, 2], [28, 16, 2], [56, 16, 2], [56, 32, 2]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[2, 2], [4, 3], [8, 1]], "psl2label": "8.24.0.a.1", "sl2label": "8.48.0-8.a.1.2", "CPlabel": "8J0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.48.0.239", "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": 64, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [51, 26, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 63, "num_known_degree1_noncm_points": 63, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.12.0.b.1"]}