# Data for modular curve with label 24.192.3-24.gm.3.8, downloaded from the LMFDB on 11 June 2024.
{"label": "24.192.3-24.gm.3.8", "coarse_level": 24, "coarse_index": 96, "genus": 3, "coarse_label": "24.96.3.gm.3", "coarse_class": "24.96.3.gm", "coarse_class_num": 169, "coarse_num": 3, "level": 24, "index": 192, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[13, 0, 12, 1], [13, 0, 16, 11], [13, 21, 8, 23], [19, 18, 12, 1]], "canonical_generators": [[0, 1, 7, 18], [0, 11, 1, 14], [0, 11, 13, 14], [0, 17, 13, 20], [0, 23, 1, 14], [0, 23, 13, 14]], "parents": ["12.96.0-12.c.3.3", "24.96.0-12.c.3.24", "24.96.1-24.iq.1.8", "24.96.1-24.iq.1.23", "24.96.2-24.g.1.8", "24.96.2-24.g.1.23"], "parents_conj": null, "reductions": ["2.3.0.a.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "8.12.0.m.1", "12.96.0-12.c.3.3"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 3, 2], [4, 2, 2], [4, 8, 1], [6, 2, 1], [6, 3, 2], [6, 4, 1], [6, 6, 2], [8, 8, 2], [8, 32, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2]], "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, 4, 2], [12, 6, 2], [12, 24, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [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": 96, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 24, "sl2level": 24, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 5]], "cusp_widths": [[2, 4], [6, 4], [8, 2], [24, 2]], "psl2label": "24.96.3.g.1", "sl2label": "24.192.3-24.g.1.3", "CPlabel": "24W3", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "24.192.3.1076", "Glabel": "384.12720", "name": null, "rank": 0, "genus_minus_rank": 3, "newforms": ["192.2.a.b", "192.2.c.a"], "dims": [1, 2], "mults": [1, 1], "traces": [0, -1, 2, 0, 4, 6, 2, -4, 8, -6, -8, 14, -6, 4, 0, 2, 4, -26, -4, -8, 30, 8, -4, -6, -26, 18, -16, -12, 6, 18, 8, -4, -6, -12, -14, 16, -26, 12, -24, -6, 12, 46, 0, 6, 18, -16, -20, 8, 12, -66, 10, 16, -10, 20, 2, 8, 10, -8, 78, 26, -28, 18, 12, 24, -50, -6, 20, 86, -12, -58, 2, 24, 8, -66, 20, 0, 2, 54, -30, -82, 12, -34, -32, -10, 0, 20, -14, -2, 26, -8, -36, 16, 32, -12, 12, -24, -6, 26, 4, -74, 44, 26, 28, 10, 36, -90, -44, -14, -24, 14, 40, -18, 42, -44, -16, -14, 12, -8, -6, 12, -66, 134, 2, 4, -4, -6, -34, 32, -48, 86, -4, 8, -24, 14, -22, 6, 18, 28, -22, 26, 4, -30, 16, -28, -42, 24, 126, 42, -12, 32, 86, 50, -4, -8, 4, -16, -16, 50, 94, -6, 12, -54, 16, 36, -30, 24, -40, 46], "trace_hash": 446036453265084553, "simple": false, "squarefree": true, "power": false, "conductor": [[2, 18], [3, 3]], "log_conductor": {"__RealLiteral__": 0, "data": "15.77248611608334464370", "prec": 77}, "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": [17, 8, 7, 23], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.48.0.c.3", "24.48.1.iq.1", "24.48.2.g.1"]}