# Data for modular curve with label 272.48.0-136.ca.1.13, downloaded from the LMFDB on 23 May 2024.
{"label": "272.48.0-136.ca.1.13", "coarse_level": 136, "coarse_index": 24, "genus": 0, "coarse_label": "136.24.0.ca.1", "coarse_class": "136.24.0.ca", "coarse_class_num": 53, "coarse_num": 1, "level": 272, "index": 48, "fine_num": 13, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "8.4.1", "generators": [[53, 80, 242, 179], [54, 161, 53, 122], [112, 89, 57, 144], [243, 116, 26, 245], [271, 216, 58, 261]], "canonical_generators": [[0, 3, 101, 86], [0, 5, 115, 18], [0, 269, 239, 254], [0, 271, 139, 220], [9, 8, 128, 129], [120, 17, 119, 18], [120, 119, 17, 86], [135, 0, 0, 271], [137, 136, 136, 137], [271, 0, 136, 271], [271, 0, 264, 271], [271, 136, 0, 271], [271, 264, 0, 271]], "parents": ["16.24.0-8.n.1.8", "272.24.0-8.n.1.5"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0.n.1", "16.24.0-8.n.1.8", "136.24.0.ca.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [8, 4, 2], [8, 8, 1], [8, 32, 1], [16, 8, 2], [16, 16, 1], [16, 32, 1], [16, 128, 1], [17, 288, 1], [34, 288, 1], [34, 576, 1], [68, 576, 2], [68, 2304, 1], [136, 1152, 2], [136, 2304, 1], [136, 9216, 1], [272, 2304, 2], [272, 4608, 1], [272, 9216, 1], [272, 36864, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 2, 2], [8, 4, 1], [8, 16, 1], [16, 8, 2], [16, 16, 1], [16, 64, 1], [17, 144, 1], [34, 144, 1], [34, 288, 1], [68, 288, 2], [68, 1152, 1], [136, 576, 2], [136, 1152, 1], [136, 4608, 1], [272, 2304, 2], [272, 4608, 1], [272, 18432, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [8, 1, 2], [8, 2, 1], [8, 8, 1], [16, 2, 2], [16, 4, 1], [16, 16, 1], [17, 18, 1], [34, 18, 1], [34, 36, 1], [68, 18, 2], [68, 72, 1], [136, 18, 2], [136, 36, 1], [136, 144, 1], [272, 36, 2], [272, 72, 1], [272, 288, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 6, "psl2level": 8, "sl2level": 16, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 2]], "cusp_widths": [[1, 2], [2, 1], [4, 1], [8, 2]], "psl2label": "8.24.0.c.1", "sl2label": "8.24.0.c.1", "CPlabel": "8I0", "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": 1, "q_gonality_bounds": [1, 1], "qbar_gonality": 1, "qbar_gonality_bounds": [1, 1], "bad_primes": [2, 17], "num_bad_primes": 2, "level_radical": 34, "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": ["8.12.0.n.1"]}