# Data for modular curve with label 68.6.0.e.1, downloaded from the LMFDB on 24 May 2024.
{"label": "68.6.0.e.1", "coarse_level": 68, "coarse_index": 6, "genus": 0, "coarse_label": "68.6.0.e.1", "coarse_class": "68.6.0.e", "coarse_class_num": 5, "coarse_num": 1, "level": 68, "index": 6, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[23, 14, 65, 35], [45, 66, 64, 3], [67, 58, 39, 29]], "canonical_generators": [[0, 1, 31, 18], [0, 1, 65, 18], [1, 0, 4, 1], [1, 2, 24, 17], [1, 4, 0, 1], [5, 4, 64, 65], [18, 17, 51, 18], [52, 17, 51, 52]], "parents": ["2.3.0.a.1"], "parents_conj": [[10, 15, 31, 34]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [17, 288, 1], [34, 288, 1], [34, 576, 1], [68, 1152, 1], [68, 2304, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [17, 144, 1], [34, 144, 1], [34, 288, 1], [68, 576, 1], [68, 1152, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [17, 18, 1], [34, 18, 1], [34, 36, 1], [68, 36, 1], [68, 72, 1]], "psl2index": 6, "nu2": 2, "nu3": 0, "cusps": 2, "psl2level": 4, "sl2level": 4, "rational_cusps": 2, "cusp_orbits": [[1, 2]], "cusp_widths": [[2, 1], [4, 1]], "psl2label": "4.6.0.b.1", "sl2label": "4.6.0.b.1", "CPlabel": "4C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "68.6.0.1", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 0, "newforms": [], "dims": null, "mults": null, "traces": [], "trace_hash": 0, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 17], "num_bad_primes": 2, "level_radical": 34, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 771, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "68.6.0.e.1"], "lattice_x": [5000, 5000, 5000], "curve_label": null, "canonical_conjugator": [33, 67, 5, 60], "has_obstruction": -1, "num_known_degree1_noncusp_points": 770, "num_known_degree1_noncm_points": 770, "models": 1, "all_degree1_points_known": null}