# Data for modular curve with label 264.48.1-264.hm.1.26, downloaded from the LMFDB on 05 June 2024.
{"label": "264.48.1-264.hm.1.26", "coarse_level": 264, "coarse_index": 24, "genus": 1, "coarse_label": "264.24.1.hm.1", "coarse_class": "264.24.1.hm", "coarse_class_num": 195, "coarse_num": 1, "level": 264, "index": 48, "fine_num": 26, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "3.2.1", "generators": [[41, 246, 192, 119], [152, 145, 51, 262], [171, 22, 8, 241], [248, 211, 245, 0], [261, 194, 262, 35]], "canonical_generators": [[0, 1, 107, 34], [0, 1, 173, 10], [0, 1, 173, 34], [0, 263, 179, 54], [0, 263, 233, 150], [1, 0, 12, 1], [1, 12, 0, 1], [13, 12, 252, 253], [120, 11, 253, 164], [144, 209, 55, 56], [186, 143, 253, 230]], "parents": ["12.24.0-6.a.1.6", "264.24.0-6.a.1.8"], "parents_conj": null, "reductions": ["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", "2.3.0.a.1", "3.4.0.a.1", "3.4.0.a.1", "6.12.0.a.1", "6.12.0.a.1", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6", "12.24.0-6.a.1.6", "88.6.0.e.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 2, 1], [3, 6, 1], [4, 4, 1], [4, 8, 1], [6, 2, 1], [6, 4, 1], [6, 6, 1], [6, 12, 1], [8, 16, 1], [8, 32, 1], [11, 120, 1], [12, 8, 1], [12, 16, 1], [12, 24, 1], [12, 48, 1], [22, 120, 1], [22, 240, 1], [24, 32, 1], [24, 64, 1], [24, 96, 1], [24, 192, 1], [33, 240, 1], [33, 720, 1], [44, 480, 1], [44, 960, 1], [66, 240, 1], [66, 480, 1], [66, 720, 1], [66, 1440, 1], [88, 1920, 1], [88, 3840, 1], [132, 960, 1], [132, 1920, 1], [132, 2880, 1], [132, 5760, 1], [264, 3840, 1], [264, 7680, 1], [264, 11520, 1], [264, 23040, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 8, 1], [8, 16, 1], [11, 60, 1], [12, 4, 1], [12, 8, 1], [12, 12, 1], [12, 24, 1], [22, 60, 1], [22, 120, 1], [24, 16, 1], [24, 32, 1], [24, 48, 1], [24, 96, 1], [33, 120, 1], [33, 360, 1], [44, 240, 1], [44, 480, 1], [66, 120, 1], [66, 240, 1], [66, 360, 1], [66, 720, 1], [88, 960, 1], [88, 1920, 1], [132, 480, 1], [132, 960, 1], [132, 1440, 1], [132, 2880, 1], [264, 1920, 1], [264, 3840, 1], [264, 5760, 1], [264, 11520, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 2, 1], [4, 4, 1], [6, 1, 1], [6, 2, 1], [6, 3, 1], [6, 6, 1], [8, 4, 1], [8, 8, 1], [11, 12, 1], [12, 2, 1], [12, 4, 1], [12, 6, 1], [12, 12, 1], [22, 12, 1], [22, 24, 1], [24, 4, 1], [24, 8, 1], [24, 12, 1], [24, 24, 1], [33, 12, 1], [33, 36, 1], [44, 24, 1], [44, 48, 1], [66, 12, 1], [66, 24, 1], [66, 36, 1], [66, 72, 1], [88, 48, 1], [88, 96, 1], [132, 24, 1], [132, 48, 1], [132, 72, 1], [132, 144, 1], [264, 48, 1], [264, 96, 1], [264, 144, 1], [264, 288, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 12, "sl2level": 12, "rational_cusps": 4, "cusp_orbits": [[1, 4]], "cusp_widths": [[2, 1], [4, 1], [6, 1], [12, 1]], "psl2label": "12.24.1.c.1", "sl2label": "12.24.1.c.1", "CPlabel": "12F1", "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": ["6.12.0.a.1", "88.6.0.e.1"]}