# Data for modular curve with label 24.96.1-24.iu.1.18, downloaded from the LMFDB on 05 June 2024. {"label": "24.96.1-24.iu.1.18", "coarse_level": 24, "coarse_index": 48, "genus": 1, "coarse_label": "24.48.1.iu.1", "coarse_class": "24.48.1.iu", "coarse_class_num": 229, "coarse_num": 1, "level": 24, "index": 96, "fine_num": 18, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[1, 15, 12, 7], [1, 18, 12, 23], [7, 0, 20, 23], [11, 15, 20, 23], [19, 18, 0, 1]], "canonical_generators": [[0, 1, 23, 10], [0, 5, 19, 2], [0, 7, 1, 18], [0, 13, 11, 10], [0, 13, 23, 22], [0, 17, 7, 2], [0, 17, 19, 14], [0, 23, 19, 8]], "parents": ["12.48.0-12.g.1.3", "24.24.0-24.ba.1.12", "24.48.0-12.g.1.19"], "parents_conj": null, "reductions": ["2.3.0.a.1", "3.4.0.a.1", "4.6.0.c.1", "6.12.0.a.1", "8.12.0-4.c.1.5", "12.48.0-12.g.1.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [12, 4, 2], [12, 12, 2], [12, 16, 1], [12, 48, 1], [24, 8, 2], [24, 16, 1], [24, 24, 2], [24, 48, 1], [24, 64, 1], [24, 192, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 2], [8, 16, 1], [12, 2, 2], [12, 6, 2], [12, 8, 1], [12, 24, 1], [24, 8, 2], [24, 24, 2], [24, 32, 1], [24, 96, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 2, 2], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 24, "sl2level": 24, "rational_cusps": 4, "cusp_orbits": [[1, 4], [2, 2]], "cusp_widths": [[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [24, 1]], "psl2label": "24.48.1.a.1", "sl2label": "24.96.1-24.a.1.2", "CPlabel": "24G1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "24.96.1.1570", "Glabel": "768.1035917", "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["144.2.a.b"], "dims": [1], "mults": [1], "traces": [0, 0, 2, 0, 4, -2, -2, 4, -8, -6, -8, 6, 6, -4, 0, 2, 4, -2, 4, 8, 10, 8, -4, 6, 2, 18, -16, -12, -2, -18, 8, -4, 6, 12, -14, 16, -2, -12, 24, -6, 12, 6, 0, 2, 18, -16, 20, 8, 12, 22, -10, -16, 18, 20, -2, -8, 10, -8, -26, -26, 28, 18, -12, -24, -6, -6, -20, 18, -12, 30, -2, -24, 8, -10, -20, 0, 2, 14, 30, -6, 12, -10, 32, -14, 0, 20, 14, -22, 26, -8, -36, -16, 32, -12, -12, 24, -6, -26, -4, -18, -44, 26, 28, -10, -36, 2, -44, 14, 24, -38, 40, 38, -42, 44, -16, 14, -12, 8, -6, 12, -10, 34, 2, 4, 4, -6, -10, -32, -48, 14, 4, -8, -24, 38, 22, 2, 18, -28, -22, -26, -4, -30, 16, -28, -50, -24, -10, -42, 12, -32, -18, -50, 4, 8, -4, 16, -16, -50, 42, -6, 12, 54, 16, 36, 30, -24, -40, -26], "trace_hash": 1303050038312089697, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 4], [3, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "4.96981329957600062046", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 1, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [14, 5, 17, 9], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.24.0.g.1", "24.12.0.ba.1"]}