# Data for modular curve with label 228.12.0.o.1, downloaded from the LMFDB on 05 June 2024.
{"label": "228.12.0.o.1", "coarse_level": 228, "coarse_index": 12, "genus": 0, "coarse_label": "228.12.0.o.1", "coarse_class": "228.12.0.o", "coarse_class_num": 15, "coarse_num": 1, "level": 228, "index": 12, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[37, 28, 100, 119], [159, 172, 23, 97], [225, 46, 130, 161]], "canonical_generators": [[1, 0, 4, 1], [1, 0, 114, 1], [1, 2, 75, 95], [1, 2, 104, 3], [1, 2, 104, 117], [1, 2, 176, 147], [1, 4, 0, 1], [5, 4, 224, 225], [115, 0, 114, 115]], "parents": ["12.6.0.c.1", "38.6.0.b.1", "228.6.0.d.1"], "parents_conj": [[32, 89, 33, 139], [200, 29, 21, 199], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "12.6.0.c.1", "38.6.0.b.1", "38.6.0.b.1", "38.6.0.b.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 4, 1], [4, 8, 1], [6, 8, 1], [6, 16, 1], [12, 32, 1], [12, 64, 1], [19, 360, 1], [38, 360, 1], [38, 720, 1], [57, 2880, 1], [76, 1440, 1], [76, 2880, 1], [114, 2880, 1], [114, 5760, 1], [228, 11520, 1], [228, 23040, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [6, 4, 1], [6, 8, 1], [12, 16, 1], [12, 32, 1], [19, 180, 1], [38, 180, 1], [38, 360, 1], [57, 1440, 1], [76, 720, 1], [76, 1440, 1], [114, 1440, 1], [114, 2880, 1], [228, 5760, 1], [228, 11520, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 2, 1], [4, 4, 1], [6, 4, 1], [6, 8, 1], [12, 8, 1], [12, 16, 1], [19, 20, 1], [38, 20, 1], [38, 40, 1], [57, 80, 1], [76, 40, 1], [76, 80, 1], [114, 80, 1], [114, 160, 1], [228, 160, 1], [228, 320, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 4, "sl2level": 4, "rational_cusps": 0, "cusp_orbits": [[2, 2]], "cusp_widths": [[2, 2], [4, 2]], "psl2label": "4.12.0.a.1", "sl2label": "4.12.0.a.1", "CPlabel": "4E0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 3, 19], "num_bad_primes": 3, "level_radical": 114, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [0], "pointless": true, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null}