# Data for modular curve with label 48.96.1-24.ir.1.17, downloaded from the LMFDB on 23 May 2024.
{"label": "48.96.1-24.ir.1.17", "coarse_level": 24, "coarse_index": 48, "genus": 1, "coarse_label": "24.48.1.ir.1", "coarse_class": "24.48.1.ir", "coarse_class_num": 226, "coarse_num": 1, "level": 48, "index": 96, "fine_num": 17, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[11, 21, 12, 47], [13, 4, 36, 7], [17, 47, 24, 35], [31, 34, 36, 17], [31, 41, 12, 11], [31, 44, 12, 1], [41, 14, 0, 13]], "canonical_generators": [[0, 1, 5, 4], [0, 1, 23, 10], [0, 5, 19, 2], [0, 7, 5, 10], [0, 11, 1, 2], [0, 35, 37, 38], [0, 41, 31, 26], [0, 47, 41, 30], [23, 0, 0, 47], [25, 24, 24, 25], [47, 0, 24, 47], [47, 24, 0, 47]], "parents": ["16.24.0-8.n.1.8"], "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.n.1", "12.24.0.g.1", "16.24.0-8.n.1.8", "24.48.1.ir.1"], "factorization": ["3.4.0.a.1", "16.24.0-8.n.1.8"], "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], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [24, 8, 2], [24, 16, 1], [24, 24, 2], [24, 48, 1], [24, 64, 1], [24, 192, 1], [48, 16, 2], [48, 32, 1], [48, 48, 2], [48, 64, 1], [48, 96, 1], [48, 192, 1], [48, 256, 1], [48, 768, 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, 2, 2], [8, 4, 1], [8, 16, 1], [12, 2, 2], [12, 6, 2], [12, 8, 1], [12, 24, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [24, 4, 2], [24, 8, 1], [24, 12, 2], [24, 24, 1], [24, 32, 1], [24, 96, 1], [48, 16, 2], [48, 32, 1], [48, 48, 2], [48, 96, 1], [48, 128, 1], [48, 384, 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, 1, 2], [8, 2, 1], [8, 8, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [24, 1, 2], [24, 2, 1], [24, 3, 2], [24, 6, 1], [24, 8, 1], [24, 24, 1], [48, 2, 2], [48, 4, 1], [48, 6, 2], [48, 12, 1], [48, 16, 1], [48, 48, 1]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 8, "psl2level": 24, "sl2level": 48, "rational_cusps": 8, "cusp_orbits": [[1, 8]], "cusp_widths": [[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [24, 1]], "psl2label": "24.48.1.a.1", "sl2label": "48.96.1-24.a.1.4", "CPlabel": "24G1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "48.96.1.474", "Glabel": null, "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["24.2.a.a"], "dims": [1], "mults": [1], "traces": [0, -1, -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": 906478665263567321, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 3], [3, 1]], "log_conductor": {"__RealLiteral__": 0, "data": "3.17805383034794561965", "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": [47, 22, 1, 25], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["8.12.0.n.1", "12.24.0.g.1"]}