# Data for modular curve with label 264.192.1-264.sj.1.11, downloaded from the LMFDB on 12 June 2024.
{"label": "264.192.1-264.sj.1.11", "coarse_level": 264, "coarse_index": 96, "genus": 1, "coarse_label": "264.96.1.sj.1", "coarse_class": "264.96.1.sj", "coarse_class_num": 478, "coarse_num": 1, "level": 264, "index": 192, "fine_num": 11, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "12.4.1", "generators": [[31, 82, 0, 17], [43, 4, 36, 95], [125, 168, 10, 151], [227, 134, 46, 123], [246, 43, 113, 44]], "canonical_generators": [[0, 1, 107, 122], [0, 1, 239, 98], [0, 1, 239, 122], [0, 23, 185, 114], [0, 259, 71, 164], [0, 263, 113, 54], [1, 0, 24, 1], [1, 24, 0, 1], [25, 24, 240, 241], [120, 253, 11, 98], [144, 121, 143, 122], [144, 253, 11, 122]], "parents": ["12.96.0-12.c.3.3", "264.96.0-12.c.3.22", "264.96.0-264.do.2.19", "264.96.0-264.do.2.41", "264.96.1-264.zs.1.26", "264.96.1-264.zs.1.46"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "3.8.0-3.a.1.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "6.24.0-6.a.1.2", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "12.96.0-12.c.3.3", "88.12.0.y.1"], "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], [11, 120, 1], [12, 4, 2], [12, 6, 4], [12, 8, 2], [12, 24, 2], [22, 120, 1], [22, 240, 1], [24, 16, 2], [24, 24, 4], [24, 32, 2], [24, 96, 2], [33, 240, 1], [33, 360, 2], [44, 240, 2], [44, 960, 1], [66, 240, 1], [66, 360, 2], [66, 480, 1], [66, 720, 2], [88, 960, 2], [88, 3840, 1], [132, 480, 2], [132, 720, 4], [132, 960, 2], [132, 2880, 2], [264, 1920, 2], [264, 2880, 4], [264, 3840, 2], [264, 11520, 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], [11, 60, 1], [12, 2, 2], [12, 4, 2], [12, 6, 2], [12, 24, 1], [22, 60, 1], [22, 120, 1], [24, 8, 2], [24, 16, 2], [24, 24, 2], [24, 96, 1], [33, 120, 1], [33, 360, 1], [44, 120, 2], [44, 480, 1], [66, 120, 1], [66, 240, 1], [66, 360, 1], [66, 720, 1], [88, 480, 2], [88, 1920, 1], [132, 240, 2], [132, 480, 2], [132, 720, 2], [132, 2880, 1], [264, 960, 2], [264, 1920, 2], [264, 2880, 2], [264, 11520, 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], [11, 12, 1], [12, 1, 2], [12, 3, 2], [12, 4, 1], [12, 12, 1], [22, 12, 1], [22, 24, 1], [24, 2, 2], [24, 6, 2], [24, 8, 1], [24, 24, 1], [33, 12, 1], [33, 36, 1], [44, 12, 2], [44, 48, 1], [66, 12, 1], [66, 24, 1], [66, 36, 1], [66, 72, 1], [88, 24, 2], [88, 96, 1], [132, 12, 2], [132, 36, 2], [132, 48, 1], [132, 144, 1], [264, 24, 2], [264, 72, 2], [264, 96, 1], [264, 288, 1]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 24, "sl2level": 24, "rational_cusps": 0, "cusp_orbits": [[2, 6], [4, 1]], "cusp_widths": [[1, 4], [2, 2], [3, 4], [6, 2], [8, 2], [24, 2]], "psl2label": "24.96.1.a.1", "sl2label": "24.96.1.a.1", "CPlabel": "24J1", "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": null, "q_gonality_bounds": [2, 96], "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": null, "num_known_degree1_points": null, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [1, 0, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": null, "num_known_degree1_noncm_points": null, "models": null, "all_degree1_points_known": null, "coarse_parents": ["12.48.0.c.3", "264.48.0.do.2", "264.48.1.zs.1"]}