# Data for modular curve with label 264.48.0-264.cs.1.13, downloaded from the LMFDB on 23 May 2024.
{"label": "264.48.0-264.cs.1.13", "coarse_level": 264, "coarse_index": 24, "genus": 0, "coarse_label": "264.24.0.cs.1", "coarse_class": "264.24.0.cs", "coarse_class_num": 71, "coarse_num": 1, "level": 264, "index": 48, "fine_num": 13, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[109, 64, 123, 29], [137, 224, 170, 43], [179, 28, 18, 199], [253, 112, 79, 201]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 66, 1], [1, 8, 0, 1], [1, 8, 23, 99], [1, 8, 51, 113], [9, 8, 256, 257], [133, 0, 66, 133], [197, 0, 198, 197], [263, 260, 229, 33], [263, 260, 229, 165], [263, 260, 235, 57]], "parents": ["24.24.0-24.ba.1.12", "88.24.0-44.h.1.6", "132.24.0-44.h.1.1", "264.24.0-24.ba.1.2", "264.24.0-264.ba.1.3", "264.24.0-264.ba.1.6"], "parents_conj": null, "reductions": ["1.1.0.a.1", "1.1.0.a.1", "1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "8.12.0-4.c.1.5", "12.12.0-4.c.1.1", "24.24.0-24.ba.1.12", "44.12.0.h.1", "88.24.0-44.h.1.6", "132.24.0-44.h.1.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [11, 120, 1], [12, 16, 2], [12, 64, 1], [22, 120, 1], [22, 240, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [33, 960, 1], [44, 240, 2], [44, 960, 1], [66, 960, 1], [66, 1920, 1], [88, 480, 2], [88, 960, 1], [88, 3840, 1], [132, 1920, 2], [132, 7680, 1], [264, 3840, 2], [264, 7680, 1], [264, 30720, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 4, 2], [8, 16, 1], [11, 60, 1], [12, 8, 2], [12, 32, 1], [22, 60, 1], [22, 120, 1], [24, 32, 2], [24, 128, 1], [33, 480, 1], [44, 120, 2], [44, 480, 1], [66, 480, 1], [66, 960, 1], [88, 480, 2], [88, 1920, 1], [132, 960, 2], [132, 3840, 1], [264, 3840, 2], [264, 15360, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [8, 2, 2], [8, 8, 1], [11, 12, 1], [12, 4, 2], [12, 16, 1], [22, 12, 1], [22, 24, 1], [24, 8, 2], [24, 32, 1], [33, 48, 1], [44, 12, 2], [44, 48, 1], [66, 48, 1], [66, 96, 1], [88, 24, 2], [88, 96, 1], [132, 48, 2], [132, 192, 1], [264, 96, 2], [264, 384, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[2, 4], [8, 2]], "psl2label": "8.24.0.b.1", "sl2label": "8.24.0.b.1", "CPlabel": "8G0", "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": ["24.12.0.ba.1", "44.12.0.h.1", "264.12.0.ba.1"]}