# Data for modular curve with label 21.8.0-3.a.1.1, downloaded from the LMFDB on 07 May 2024.
{"label": "21.8.0-3.a.1.1", "coarse_level": 3, "coarse_index": 4, "genus": 0, "coarse_label": "3.4.0.a.1", "coarse_class": "3.4.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 21, "index": 8, "fine_num": 1, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[13, 9, 18, 8], [17, 12, 4, 1]], "canonical_generators": [[1, 0, 3, 1], [1, 3, 0, 1], [4, 3, 18, 19], [6, 14, 7, 20], [6, 14, 14, 6], [11, 0, 0, 20]], "parents": [], "parents_conj": null, "reductions": ["1.1.0.a.1", "3.4.0.a.1"], "factorization": [], "orbits": [[3, 2, 1], [3, 6, 1], [7, 48, 1], [21, 96, 1], [21, 288, 1]], "kummer_orbits": [[3, 1, 1], [3, 3, 1], [7, 24, 1], [21, 48, 1], [21, 144, 1]], "isogeny_orbits": [[3, 1, 1], [3, 3, 1], [7, 8, 1], [21, 8, 1], [21, 24, 1]], "psl2index": 4, "nu2": 0, "nu3": 1, "cusps": 2, "psl2level": 3, "sl2level": 3, "rational_cusps": 2, "cusp_orbits": [[1, 2]], "cusp_widths": [[1, 1], [3, 1]], "psl2label": "3.4.0.a.1", "sl2label": "3.8.0-3.a.1.1", "CPlabel": "3B0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "21.8.0.1", "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": [3, 7], "num_bad_primes": 2, "level_radical": 21, "level_is_squarefree": true, "cm_discriminants": [-3, -12, -27], "obstructions": [], "pointless": false, "num_known_degree1_points": 78279, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [10, 7, 0, 17], "has_obstruction": -1, "num_known_degree1_noncusp_points": 78278, "num_known_degree1_noncm_points": 78275, "models": null, "all_degree1_points_known": null, "coarse_parents": ["1.1.0.a.1"]}