# Data for modular curve with label 20.16.0-4.b.1.1, downloaded from the LMFDB on 21 May 2024.
{"label": "20.16.0-4.b.1.1", "coarse_level": 4, "coarse_index": 8, "genus": 0, "coarse_label": "4.8.0.b.1", "coarse_class": "4.8.0.b", "coarse_class_num": 2, "coarse_num": 1, "level": 20, "index": 16, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[10, 7, 19, 19], [14, 13, 5, 2]], "canonical_generators": [[1, 0, 4, 1], [1, 4, 0, 1], [3, 0, 0, 19], [4, 15, 5, 19], [4, 15, 15, 4], [5, 4, 16, 17]], "parents": ["20.4.0-4.a.1.1"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "4.8.0.b.1"], "factorization": [], "orbits": [[2, 3, 1], [4, 6, 2], [5, 24, 1], [10, 72, 1], [20, 144, 2]], "kummer_orbits": [[2, 3, 1], [4, 3, 2], [5, 12, 1], [10, 36, 1], [20, 72, 2]], "isogeny_orbits": [[2, 3, 1], [4, 3, 2], [5, 6, 1], [10, 18, 1], [20, 18, 2]], "psl2index": 8, "nu2": 0, "nu3": 2, "cusps": 2, "psl2level": 4, "sl2level": 4, "rational_cusps": 2, "cusp_orbits": [[1, 2]], "cusp_widths": [[4, 2]], "psl2label": "4.8.0.a.1", "sl2label": "4.16.0-4.a.1.1", "CPlabel": "4D0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "20.16.0.2", "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, 5], "num_bad_primes": 2, "level_radical": 10, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 172, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [6, 11, 15, 4], "has_obstruction": -1, "num_known_degree1_noncusp_points": 171, "num_known_degree1_noncm_points": 171, "models": null, "all_degree1_points_known": null, "coarse_parents": ["4.2.0.a.1", "4.4.0.a.1"]}