# Data for modular curve with label 168.24.0-168.s.1.16, downloaded from the LMFDB on 01 June 2024.
{"label": "168.24.0-168.s.1.16", "coarse_level": 168, "coarse_index": 12, "genus": 0, "coarse_label": "168.12.0.s.1", "coarse_class": "168.12.0.s", "coarse_class_num": 19, "coarse_num": 1, "level": 168, "index": 24, "fine_num": 16, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[1, 28, 131, 45], [69, 64, 107, 25], [107, 68, 142, 147], [111, 64, 40, 91], [153, 20, 151, 15]], "canonical_generators": [[1, 0, 4, 1], [1, 0, 42, 1], [1, 4, 31, 63], [125, 0, 126, 125], [163, 164, 4, 3], [167, 160, 135, 7], [167, 160, 165, 79], [167, 164, 0, 167], [167, 164, 133, 111], [167, 164, 153, 7]], "parents": ["8.12.0-4.c.1.6", "168.12.0-4.c.1.5"], "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", "4.6.0.c.1", "4.6.0.c.1", "4.6.0.c.1", "8.12.0-4.c.1.6", "8.12.0-4.c.1.6", "8.12.0-4.c.1.6"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [3, 8, 1], [4, 2, 2], [4, 8, 1], [6, 8, 1], [6, 16, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [12, 16, 2], [12, 64, 1], [14, 48, 1], [14, 96, 1], [21, 384, 1], [24, 64, 2], [24, 256, 1], [28, 96, 2], [28, 384, 1], [42, 384, 1], [42, 768, 1], [56, 384, 2], [56, 1536, 1], [84, 768, 2], [84, 3072, 1], [168, 3072, 2], [168, 12288, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [12, 8, 2], [12, 32, 1], [14, 24, 1], [14, 48, 1], [21, 192, 1], [24, 32, 2], [24, 128, 1], [28, 48, 2], [28, 192, 1], [42, 192, 1], [42, 384, 1], [56, 192, 2], [56, 768, 1], [84, 384, 2], [84, 1536, 1], [168, 1536, 2], [168, 6144, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [3, 4, 1], [4, 1, 2], [4, 4, 1], [6, 4, 1], [6, 8, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [12, 4, 2], [12, 16, 1], [14, 8, 1], [14, 16, 1], [21, 32, 1], [24, 8, 2], [24, 32, 1], [28, 8, 2], [28, 32, 1], [42, 32, 1], [42, 64, 1], [56, 16, 2], [56, 64, 1], [84, 32, 2], [84, 128, 1], [168, 64, 2], [168, 256, 1]], "psl2index": 12, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 4, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[2, 2], [4, 2]], "psl2label": "4.12.0.a.1", "sl2label": "4.12.0.a.1", "CPlabel": "4E0", "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, 3, 7], "num_bad_primes": 3, "level_radical": 42, "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": ["4.6.0.c.1", "168.6.0.a.1", "168.6.0.e.1"]}