# Data for modular curve with label 168.504.16-168.di.1.43, downloaded from the LMFDB on 05 June 2024.
{"label": "168.504.16-168.di.1.43", "coarse_level": 168, "coarse_index": 252, "genus": 16, "coarse_label": "168.252.16.di.1", "coarse_class": "168.252.16.di", "coarse_class_num": 87, "coarse_num": 1, "level": 168, "index": 504, "fine_num": 43, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[49, 20, 76, 105], [61, 40, 110, 79], [78, 103, 19, 34], [104, 63, 77, 118], [135, 116, 94, 65], [154, 15, 125, 28]], "canonical_generators": [[1, 0, 56, 1], [1, 56, 0, 1], [4, 1, 69, 32], [4, 1, 167, 102], [4, 15, 41, 158], [56, 153, 15, 98], [57, 56, 112, 113], [58, 3, 45, 40], [58, 123, 165, 40], [112, 57, 111, 154], [112, 69, 99, 154], [112, 141, 27, 154], [164, 167, 57, 94], [164, 167, 141, 10]], "parents": ["24.24.0-24.ba.1.12", "56.252.7-28.c.1.21", "84.252.7-28.c.1.8"], "parents_conj": null, "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.6.0.c.1", "7.21.0.a.1", "7.21.0.a.1", "8.12.0-4.c.1.5", "12.12.0-4.c.1.1", "14.63.2.a.1", "14.63.2.a.1", "24.24.0-24.ba.1.12", "28.126.7.c.1", "56.252.7-28.c.1.21", "84.252.7-28.c.1.8"], "factorization": ["7.21.0.a.1", "24.24.0-24.ba.1.12"], "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, 4, 2], [8, 8, 1], [8, 32, 1], [12, 16, 2], [12, 64, 1], [14, 48, 1], [14, 96, 1], [21, 384, 1], [24, 32, 2], [24, 64, 1], [24, 256, 1], [28, 96, 2], [28, 384, 1], [42, 384, 1], [42, 768, 1], [56, 192, 2], [56, 384, 1], [56, 1536, 1], [84, 768, 2], [84, 3072, 1], [168, 1536, 2], [168, 3072, 1], [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": 252, "nu2": 0, "nu3": 0, "cusps": 12, "psl2level": 56, "sl2level": 56, "rational_cusps": 0, "cusp_orbits": [[3, 2], [6, 1]], "cusp_widths": [[7, 6], [14, 3], [56, 3]], "psl2label": "56.252.16.c.1", "sl2label": "56.252.16.c.1", "CPlabel": "56B16", "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": false, "squarefree": null, "power": null, "conductor": null, "log_conductor": null, "q_gonality": null, "q_gonality_bounds": [4, 30], "qbar_gonality": null, "qbar_gonality_bounds": [4, 16], "bad_primes": [2, 3, 7], "num_bad_primes": 3, "level_radical": 42, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [11], "pointless": true, "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", "28.126.7.c.1"]}