# Data for modular curve with label 264.96.0-264.ca.1.27, downloaded from the LMFDB on 02 June 2024.
{"label": "264.96.0-264.ca.1.27", "coarse_level": 264, "coarse_index": 48, "genus": 0, "coarse_label": "264.48.0.ca.1", "coarse_class": "264.48.0.ca", "coarse_class_num": 53, "coarse_num": 1, "level": 264, "index": 96, "fine_num": 27, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[7, 192, 82, 253], [103, 8, 150, 151], [161, 80, 44, 103], [187, 20, 136, 13], [199, 104, 2, 129]], "canonical_generators": [[1, 0, 8, 1], [1, 8, 0, 1], [1, 8, 56, 99], [3, 4, 124, 177], [9, 8, 256, 257], [199, 0, 66, 199], [261, 260, 170, 233], [263, 0, 198, 263], [263, 256, 134, 255], [263, 256, 230, 99], [263, 256, 230, 231]], "parents": ["8.48.0-8.e.1.15", "264.48.0-8.e.1.8", "264.48.0-264.t.2.45", "264.48.0-264.t.2.58", "264.48.0-264.y.1.1", "264.48.0-264.y.1.31"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "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", "4.12.0.b.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15", "8.48.0-8.e.1.15", "132.24.0-4.b.1.2"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 8, 6], [11, 120, 1], [12, 16, 2], [12, 32, 2], [22, 120, 3], [24, 64, 6], [33, 960, 1], [44, 240, 2], [44, 480, 2], [66, 960, 3], [88, 960, 6], [132, 1920, 2], [132, 3840, 2], [264, 7680, 6]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 4, 4], [8, 8, 1], [11, 60, 1], [12, 8, 2], [12, 16, 2], [22, 60, 3], [24, 32, 4], [24, 64, 1], [33, 480, 1], [44, 120, 2], [44, 240, 2], [66, 480, 3], [88, 480, 4], [88, 960, 1], [132, 960, 2], [132, 1920, 2], [264, 3840, 4], [264, 7680, 1]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 2], [11, 12, 1], [12, 4, 2], [12, 8, 2], [22, 12, 3], [24, 8, 2], [24, 16, 2], [33, 48, 1], [44, 12, 2], [44, 24, 2], [66, 48, 3], [88, 24, 2], [88, 48, 2], [132, 48, 2], [132, 96, 2], [264, 96, 2], [264, 192, 2]], "psl2index": 48, "nu2": 0, "nu3": 0, "cusps": 10, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 5]], "cusp_widths": [[2, 4], [4, 2], [8, 4]], "psl2label": "8.48.0.b.1", "sl2label": "8.48.0.b.1", "CPlabel": "8O0", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": null, "Glabel": null, "name": null, "rank": null, "genus_minus_rank": null, "newforms": null, "dims": null, "mults": null, "traces": null, "trace_hash": null, "simple": null, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [1, 2], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "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": ["8.24.0.e.1", "264.24.0.t.2", "264.24.0.y.1"]}