# Data for modular curve with label 114.18.1.b.1, downloaded from the LMFDB on 05 June 2024.
{"label": "114.18.1.b.1", "coarse_level": 114, "coarse_index": 18, "genus": 1, "coarse_label": "114.18.1.b.1", "coarse_class": "114.18.1.b", "coarse_class_num": 2, "coarse_num": 1, "level": 114, "index": 18, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[41, 82, 28, 7], [55, 81, 82, 83], [59, 105, 96, 59]], "canonical_generators": [[1, 0, 6, 1], [1, 1, 36, 95], [1, 2, 62, 33], [1, 2, 104, 3], [1, 6, 0, 1], [1, 38, 38, 77], [1, 76, 76, 77], [7, 6, 108, 109]], "parents": ["6.9.0.a.1", "38.6.0.b.1", "114.6.1.a.1"], "parents_conj": [[31, 0, 13, 101], [35, 0, 49, 103], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "3.3.0.a.1", "3.3.0.a.1", "6.9.0.a.1", "38.6.0.b.1"], "factorization": ["3.3.0.a.1", "38.6.0.b.1"], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [6, 8, 1], [6, 16, 1], [19, 360, 1], [38, 360, 1], [38, 720, 1], [57, 2880, 1], [114, 2880, 1], [114, 5760, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1], [19, 180, 1], [38, 180, 1], [38, 360, 1], [57, 1440, 1], [114, 1440, 1], [114, 2880, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [6, 4, 1], [6, 8, 1], [19, 20, 1], [38, 20, 1], [38, 40, 1], [57, 80, 1], [114, 80, 1], [114, 160, 1]], "psl2index": 18, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 6, "sl2level": 6, "rational_cusps": 1, "cusp_orbits": [[1, 1], [2, 1]], "cusp_widths": [[6, 3]], "psl2label": "6.18.1.a.1", "sl2label": "6.18.1.a.1", "CPlabel": "6C1", "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": true, "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}