# Data for modular curve with label 112.48.1-112.a.1.9, downloaded from the LMFDB on 23 May 2024.
{"label": "112.48.1-112.a.1.9", "coarse_level": 112, "coarse_index": 24, "genus": 1, "coarse_label": "112.24.1.a.1", "coarse_class": "112.24.1.a", "coarse_class_num": 1, "coarse_num": 1, "level": 112, "index": 48, "fine_num": 9, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[19, 88, 56, 43], [45, 38, 62, 61], [78, 41, 99, 56], [93, 10, 76, 31], [93, 34, 66, 53]], "canonical_generators": [[0, 1, 47, 6], [0, 1, 47, 22], [0, 3, 25, 22], [0, 3, 69, 98], [0, 111, 51, 76], [1, 0, 16, 1], [1, 16, 0, 1], [17, 16, 96, 97], [48, 77, 91, 6], [64, 21, 35, 22], [64, 49, 63, 22]], "parents": ["16.24.0-8.n.1.8", "56.24.0-8.n.1.11"], "parents_conj": null, "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", "16.24.0-8.n.1.8", "56.24.0-8.n.1.11"], "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], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [28, 96, 2], [28, 384, 1], [56, 192, 2], [56, 384, 1], [56, 1536, 1], [112, 384, 2], [112, 768, 1], [112, 1536, 1], [112, 6144, 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], [16, 8, 2], [16, 16, 1], [16, 64, 1], [28, 48, 2], [28, 192, 1], [56, 96, 2], [56, 192, 1], [56, 768, 1], [112, 384, 2], [112, 768, 1], [112, 3072, 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], [16, 2, 2], [16, 4, 1], [16, 16, 1], [28, 8, 2], [28, 32, 1], [56, 8, 2], [56, 16, 1], [56, 64, 1], [112, 16, 2], [112, 32, 1], [112, 128, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 16, "sl2level": 16, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 2], [4, 1], [16, 1]], "psl2label": "16.24.1.a.1", "sl2label": "16.24.1.a.1", "CPlabel": "16A1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "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": ["8.12.0.n.1"]}