# Data for modular curve with label 10.72.0-10.a.2.4, downloaded from the LMFDB on 16 May 2024.
{"label": "10.72.0-10.a.2.4", "coarse_level": 10, "coarse_index": 36, "genus": 0, "coarse_label": "10.36.0.a.2", "coarse_class": "10.36.0.a", "coarse_class_num": 1, "coarse_num": 2, "level": 10, "index": 72, "fine_num": 4, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "5.4.1", "generators": [[1, 2, 0, 3], [9, 1, 0, 3]], "canonical_generators": [[0, 9, 1, 8], [0, 9, 7, 2]], "parents": ["10.24.0-5.a.1.1"], "parents_conj": null, "reductions": ["2.3.0.a.1", "5.12.0.a.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [5, 2, 2], [5, 20, 1], [10, 2, 6], [10, 20, 1], [10, 40, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [5, 1, 2], [5, 10, 1], [10, 1, 2], [10, 2, 2], [10, 10, 1], [10, 20, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [5, 1, 1], [5, 5, 1], [10, 1, 1], [10, 2, 1], [10, 5, 1], [10, 10, 1]], "psl2index": 36, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 10, "sl2level": 10, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[1, 2], [2, 2], [5, 2], [10, 2]], "psl2label": "10.36.0.a.1", "sl2label": "10.72.0-10.a.1.2", "CPlabel": "10F0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "10.72.0.5", "Glabel": "40.12", "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": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 43, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [0, 9, 9, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 42, "num_known_degree1_noncm_points": 42, "models": null, "all_degree1_points_known": null, "coarse_parents": ["5.12.0.a.1", "10.18.0.a.1"]}