# Data for modular curve with label 264.48.0-264.q.1.6, downloaded from the LMFDB on 03 June 2024. {"label": "264.48.0-264.q.1.6", "coarse_level": 264, "coarse_index": 24, "genus": 0, "coarse_label": "264.24.0.q.1", "coarse_class": "264.24.0.q", "coarse_class_num": 17, "coarse_num": 1, "level": 264, "index": 48, "fine_num": 6, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[21, 50, 62, 141], [43, 44, 254, 213], [113, 118, 244, 133], [255, 202, 260, 153]], "canonical_generators": [[1, 0, 4, 1], [1, 2, 136, 165], [1, 2, 256, 141], [1, 4, 0, 1], [1, 8, 122, 33], [5, 4, 260, 261], [197, 0, 0, 197], [263, 256, 142, 165], [263, 256, 246, 217]], "parents": ["12.24.0-12.b.1.1", "88.24.0-88.b.1.4", "264.24.0-12.b.1.3", "264.24.0-88.b.1.6", "264.24.0-264.a.1.7", "264.24.0-264.a.1.14"], "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", "4.12.0-2.a.1.1", "4.12.0-2.a.1.1", "4.12.0-2.a.1.1", "12.24.0-12.b.1.1", "12.24.0-12.b.1.1", "12.24.0-12.b.1.1", "88.24.0-88.b.1.4"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 8, 2], [8, 16, 2], [11, 120, 1], [12, 16, 2], [12, 32, 2], [22, 120, 3], [24, 64, 2], [24, 128, 2], [33, 960, 1], [44, 240, 2], [44, 480, 2], [66, 960, 3], [88, 960, 2], [88, 1920, 2], [132, 1920, 2], [132, 3840, 2], [264, 7680, 2], [264, 15360, 2]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [8, 8, 3], [11, 60, 1], [12, 16, 3], [22, 60, 3], [24, 64, 3], [33, 480, 1], [44, 240, 3], [66, 480, 3], [88, 960, 3], [132, 1920, 3], [264, 7680, 3]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 2, 3], [6, 4, 3], [8, 4, 3], [11, 12, 1], [12, 8, 3], [22, 12, 3], [24, 16, 3], [33, 48, 1], [44, 24, 3], [66, 48, 3], [88, 48, 3], [132, 96, 3], [264, 192, 3]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 4, "sl2level": 4, "rational_cusps": 0, "cusp_orbits": [[2, 3]], "cusp_widths": [[4, 6]], "psl2label": "4.24.0.a.1", "sl2label": "4.24.0.a.1", "CPlabel": "4G0", "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": ["12.12.0.b.1", "88.12.0.b.1", "264.12.0.a.1"]}