# Data for modular curve with label 228.48.1-228.o.1.11, downloaded from the LMFDB on 23 May 2024.
{"label": "228.48.1-228.o.1.11", "coarse_level": 228, "coarse_index": 24, "genus": 1, "coarse_label": "228.24.1.o.1", "coarse_class": "228.24.1.o", "coarse_class_num": 15, "coarse_num": 1, "level": 228, "index": 48, "fine_num": 11, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[85, 2, 42, 59], [102, 23, 133, 158], [126, 197, 167, 24], [148, 35, 97, 126]], "canonical_generators": [[0, 1, 91, 72], [0, 1, 91, 156], [0, 227, 23, 186], [0, 227, 173, 18], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 216, 217], [18, 95, 133, 170], [96, 209, 19, 20], [132, 95, 133, 56]], "parents": ["12.24.0-6.a.1.6", "228.24.0-6.a.1.3"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.0-6.a.1.6", "76.6.0.d.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [19, 360, 1], [38, 360, 1], [38, 720, 1], [57, 720, 1], [57, 2160, 1], [76, 1440, 1], [76, 2880, 1], [114, 720, 1], [114, 1440, 1], [114, 2160, 1], [114, 4320, 1], [228, 2880, 1], [228, 5760, 1], [228, 8640, 1], [228, 17280, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [19, 180, 1], [38, 180, 1], [38, 360, 1], [57, 360, 1], [57, 1080, 1], [76, 720, 1], [76, 1440, 1], [114, 360, 1], [114, 720, 1], [114, 1080, 1], [114, 2160, 1], [228, 1440, 1], [228, 2880, 1], [228, 4320, 1], [228, 8640, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [19, 20, 1], [38, 20, 1], [38, 40, 1], [57, 20, 1], [57, 60, 1], [76, 40, 1], [76, 80, 1], [114, 20, 1], [114, 40, 1], [114, 60, 1], [114, 120, 1], [228, 40, 1], [228, 80, 1], [228, 120, 1], [228, 240, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 12, "sl2level": 12, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 1], [4, 1], [6, 1], [12, 1]], "psl2label": "12.24.1.c.1", "sl2label": "12.24.1.c.1", "CPlabel": "12F1", "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, 3, 19], "num_bad_primes": 3, "level_radical": 114, "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": ["6.12.0.a.1", "76.6.0.d.1"]}