# Data for modular curve with label 10.6.0.a.1, downloaded from the LMFDB on 10 June 2024.
{"label": "10.6.0.a.1", "coarse_level": 10, "coarse_index": 6, "genus": 0, "coarse_label": "10.6.0.a.1", "coarse_class": "10.6.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 10, "index": 6, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[5, 4, 7, 1], [7, 0, 8, 7]], "canonical_generators": [[0, 1, 3, 6], [1, 0, 2, 1], [1, 2, 0, 1], [3, 2, 8, 9]], "parents": ["2.3.0.a.1", "10.2.0.a.1"], "parents_conj": [[4, 5, 9, 9], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.3.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [5, 24, 1], [10, 24, 1], [10, 48, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [5, 12, 1], [10, 12, 1], [10, 24, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [5, 6, 1], [10, 6, 1], [10, 12, 1]], "psl2index": 6, "nu2": 0, "nu3": 0, "cusps": 3, "psl2level": 2, "sl2level": 2, "rational_cusps": 1, "cusp_orbits": [[1, 1], [2, 1]], "cusp_widths": [[2, 3]], "psl2label": "2.6.0.a.1", "sl2label": "2.6.0.a.1", "CPlabel": "2C0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "10.6.0.1", "Glabel": "480.218", "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, 5], "num_bad_primes": 2, "level_radical": 10, "level_is_squarefree": true, "cm_discriminants": [-4], "obstructions": [], "pointless": false, "num_known_degree1_points": 6942, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "10.2.0.a.1", "10.6.0.a.1"], "lattice_x": [5342, 2534, 8151, 5342], "curve_label": null, "canonical_conjugator": [3, 5, 6, 9], "has_obstruction": -1, "num_known_degree1_noncusp_points": 6941, "num_known_degree1_noncm_points": 6940, "models": 1, "all_degree1_points_known": null}