# Data for modular curve with label 264.192.1-264.lm.3.9, downloaded from the LMFDB on 10 June 2024.
{"label": "264.192.1-264.lm.3.9", "coarse_level": 264, "coarse_index": 96, "genus": 1, "coarse_label": "264.96.1.lm.3", "coarse_class": "264.96.1.lm", "coarse_class_num": 299, "coarse_num": 3, "level": 264, "index": 192, "fine_num": 9, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[113, 246, 34, 185], [119, 18, 24, 53], [203, 30, 26, 245], [203, 204, 44, 91], [251, 144, 60, 175]], "canonical_generators": [[1, 0, 12, 1], [1, 0, 242, 1], [1, 12, 0, 1], [1, 24, 14, 97], [1, 24, 26, 121], [5, 6, 64, 161], [5, 12, 26, 175], [11, 6, 38, 221], [13, 12, 252, 253], [109, 0, 22, 109], [263, 240, 238, 55]], "parents": ["12.96.0-12.a.2.9", "264.96.0-12.a.2.13", "264.96.0-264.o.2.10", "264.96.0-264.o.2.49", "264.96.1-264.dg.1.29", "264.96.1-264.dg.1.31"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.24.0.a.1", "6.24.0.a.1", "12.96.0-12.a.2.9", "12.96.0-12.a.2.9", "12.96.0-12.a.2.9", "88.12.0.a.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [6, 2, 3], [6, 6, 3], [8, 16, 3], [11, 120, 1], [12, 4, 2], [12, 8, 2], [12, 12, 2], [12, 24, 2], [22, 120, 3], [24, 16, 2], [24, 32, 2], [24, 48, 2], [24, 96, 2], [33, 240, 1], [33, 720, 1], [44, 480, 3], [66, 240, 3], [66, 720, 3], [88, 1920, 3], [132, 480, 2], [132, 960, 2], [132, 1440, 2], [132, 2880, 2], [264, 1920, 2], [264, 3840, 2], [264, 5760, 2], [264, 11520, 2]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 8, 3], [11, 60, 1], [12, 4, 3], [12, 6, 2], [12, 12, 2], [22, 60, 3], [24, 16, 3], [24, 24, 2], [24, 48, 2], [33, 120, 1], [33, 360, 1], [44, 240, 3], [66, 120, 3], [66, 360, 3], [88, 960, 3], [132, 480, 3], [132, 720, 2], [132, 1440, 2], [264, 1920, 3], [264, 2880, 2], [264, 5760, 2]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 4, 3], [11, 12, 1], [12, 2, 3], [12, 6, 3], [22, 12, 3], [24, 4, 3], [24, 12, 3], [33, 12, 1], [33, 36, 1], [44, 24, 3], [66, 12, 3], [66, 36, 3], [88, 48, 3], [132, 24, 3], [132, 72, 3], [264, 48, 3], [264, 144, 3]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 2]], "cusp_widths": [[2, 4], [4, 4], [6, 4], [12, 4]], "psl2label": "12.96.1.a.1", "sl2label": "12.96.1.a.1", "CPlabel": "12V1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": [1], "mults": [1], "traces": null, "trace_hash": null, "simple": true, "squarefree": true, "power": true, "conductor": null, "log_conductor": null, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3, 11], "num_bad_primes": 3, "level_radical": 66, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": 0, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.48.0.a.2", "264.48.0.o.2", "264.48.1.dg.1"]}