# Data for modular curve with label 266.126.7.d.1, downloaded from the LMFDB on 03 June 2024.
{"label": "266.126.7.d.1", "coarse_level": 266, "coarse_index": 126, "genus": 7, "coarse_label": "266.126.7.d.1", "coarse_class": "266.126.7.d", "coarse_class_num": 4, "coarse_num": 1, "level": 266, "index": 126, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[171, 24, 160, 123], [175, 162, 254, 53], [192, 75, 3, 226]], "canonical_generators": [[1, 0, 14, 1], [1, 14, 0, 1], [1, 114, 228, 191], [1, 228, 38, 153], [2, 1, 205, 132], [9, 8, 30, 139], [9, 8, 58, 223], [9, 8, 254, 125], [15, 14, 252, 253]], "parents": ["14.63.2.a.1", "38.6.0.b.1", "266.42.3.a.1"], "parents_conj": [[241, 36, 0, 1], [1, 0, 0, 1], [241, 169, 0, 1]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "7.21.0.a.1", "7.21.0.a.1", "14.63.2.a.1", "38.6.0.b.1"], "factorization": ["7.21.0.a.1", "38.6.0.b.1"], "orbits": [[2, 1, 1], [2, 2, 1], [7, 48, 1], [14, 48, 1], [14, 96, 1], [19, 360, 1], [38, 360, 1], [38, 720, 1], [133, 17280, 1], [266, 17280, 1], [266, 34560, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [7, 24, 1], [14, 24, 1], [14, 48, 1], [19, 180, 1], [38, 180, 1], [38, 360, 1], [133, 8640, 1], [266, 8640, 1], [266, 17280, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [7, 8, 1], [14, 8, 1], [14, 16, 1], [19, 20, 1], [38, 20, 1], [38, 40, 1], [133, 160, 1], [266, 160, 1], [266, 320, 1]], "psl2index": 126, "nu2": 0, "nu3": 0, "cusps": 9, "psl2level": 14, "sl2level": 14, "rational_cusps": 0, "cusp_orbits": [[3, 1], [6, 1]], "cusp_widths": [[14, 9]], "psl2label": "14.126.7.a.1", "sl2label": "14.126.7.a.1", "CPlabel": "14A7", "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": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [3, 12], "qbar_gonality": null, "qbar_gonality_bounds": [3, 7], "bad_primes": [2, 7, 19], "num_bad_primes": 3, "level_radical": 266, "level_is_squarefree": true, "cm_discriminants": [], "obstructions": [], "pointless": null, "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}