# Data for modular curve with label 36.72.0-18.a.1.12, downloaded from the LMFDB on 23 May 2024.
{"label": "36.72.0-18.a.1.12", "coarse_level": 18, "coarse_index": 36, "genus": 0, "coarse_label": "18.36.0.a.1", "coarse_class": "18.36.0.a", "coarse_class_num": 1, "coarse_num": 1, "level": 36, "index": 72, "fine_num": 12, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[1, 21, 18, 7], [5, 6, 0, 23], [17, 21, 18, 19], [23, 2, 18, 35]], "canonical_generators": [[0, 29, 31, 34], [0, 31, 29, 20], [0, 31, 35, 32], [0, 35, 19, 34], [0, 35, 29, 0], [0, 35, 31, 22], [19, 0, 0, 1], [19, 18, 18, 19], [35, 0, 18, 35], [35, 18, 0, 35]], "parents": ["12.24.0-6.a.1.6"], "parents_conj": null, "reductions": ["2.3.0.a.1", "2.3.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "9.12.0.a.1", "12.24.0-6.a.1.6", "18.36.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [9, 6, 1], [9, 12, 1], [9, 54, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [18, 6, 1], [18, 12, 2], [18, 24, 1], [18, 54, 1], [18, 108, 1], [36, 24, 1], [36, 48, 2], [36, 96, 1], [36, 216, 1], [36, 432, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 3, 1], [9, 6, 1], [9, 27, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [18, 3, 1], [18, 6, 2], [18, 12, 1], [18, 27, 1], [18, 54, 1], [36, 12, 1], [36, 24, 2], [36, 48, 1], [36, 108, 1], [36, 216, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [9, 1, 1], [9, 2, 1], [9, 9, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [18, 1, 1], [18, 2, 2], [18, 4, 1], [18, 9, 1], [18, 18, 1], [36, 2, 1], [36, 4, 2], [36, 8, 1], [36, 18, 1], [36, 36, 1]], "psl2index": 36, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 18, "sl2level": 36, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[1, 3], [2, 3], [9, 1], [18, 1]], "psl2label": "18.36.0.a.1", "sl2label": "36.72.0-18.a.1.2", "CPlabel": "18E0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "36.72.0.40", "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, 3], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 93, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [5, 0, 31, 35], "has_obstruction": -1, "num_known_degree1_noncusp_points": 92, "num_known_degree1_noncm_points": 92, "models": null, "all_degree1_points_known": null, "coarse_parents": ["6.12.0.a.1", "9.12.0.a.1"]}