# Data for modular curve with label 12.192.1-12.d.1.8, downloaded from the LMFDB on 29 May 2024.
{"label": "12.192.1-12.d.1.8", "coarse_level": 12, "coarse_index": 96, "genus": 1, "coarse_label": "12.96.1.d.1", "coarse_class": "12.96.1.d", "coarse_class_num": 4, "coarse_num": 1, "level": 12, "index": 192, "fine_num": 8, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[1, 2, 6, 5], [11, 0, 0, 5], [11, 4, 6, 11]], "canonical_generators": [[11, 0, 2, 5], [11, 0, 2, 11], [11, 0, 10, 5], [11, 0, 10, 11], [11, 6, 0, 1]], "parents": ["12.96.0-12.a.1.8", "12.96.0-12.a.1.9", "12.96.0-12.a.2.6", "12.96.0-12.a.2.9", "12.96.1-12.d.1.1", "12.96.1-12.d.1.3"], "parents_conj": null, "reductions": ["2.6.0.a.1", "3.4.0.a.1", "4.12.0-2.a.1.2", "6.24.0.a.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [6, 2, 3], [6, 6, 3], [12, 4, 4], [12, 8, 1], [12, 12, 2], [12, 24, 2]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 12, 2]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [12, 2, 3], [12, 6, 3]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 12, "sl2level": 12, "rational_cusps": 0, "cusp_orbits": [[2, 8]], "cusp_widths": [[2, 4], [4, 4], [6, 4], [12, 4]], "psl2label": "12.96.1.a.1", "sl2label": "12.192.1-12.a.1.2", "CPlabel": "12V1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "12.192.1.53", "Glabel": "24.14", "name": null, "rank": 0, "genus_minus_rank": 1, "newforms": ["72.2.a.a"], "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": 1436269620903515173, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 3], [3, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "4.27666611901605531104", "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": null, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [7, 4, 5, 3], "has_obstruction": 0, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.48.0.a.1", "12.48.0.a.2", "12.48.1.d.1"]}