# Data for modular curve with label 56.24.1.n.1, downloaded from the LMFDB on 01 June 2024.
{"label": "56.24.1.n.1", "coarse_level": 56, "coarse_index": 24, "genus": 1, "coarse_label": "56.24.1.n.1", "coarse_class": "56.24.1.n", "coarse_class_num": 14, "coarse_num": 1, "level": 56, "index": 24, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "1.1.1", "generators": [[5, 4, 4, 25], [9, 6, 46, 49], [9, 46, 10, 33], [10, 11, 23, 2], [34, 1, 21, 54]], "canonical_generators": [[1, 0, 8, 1], [1, 1, 12, 7], [1, 1, 52, 47], [1, 3, 4, 35], [1, 3, 20, 7], [1, 8, 0, 1], [1, 42, 28, 1], [9, 8, 48, 49], [29, 42, 28, 29], [43, 42, 28, 43]], "parents": ["4.12.0.d.1", "56.12.0.bx.1", "56.12.1.c.1"], "parents_conj": [[19, 51, 15, 10], [52, 7, 27, 34], [13, 40, 50, 55]], "reductions": ["1.1.0.a.1", "2.3.0.a.1", "2.3.0.a.1", "4.12.0.d.1", "4.12.0.d.1", "4.12.0.d.1"], "factorization": [], "orbits": [[2, 1, 1], [2, 2, 1], [4, 2, 2], [4, 8, 1], [7, 48, 1], [8, 8, 2], [8, 32, 1], [14, 48, 1], [14, 96, 1], [28, 96, 2], [28, 384, 1], [56, 384, 2], [56, 1536, 1]], "kummer_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 24, 1], [8, 4, 2], [8, 16, 1], [14, 24, 1], [14, 48, 1], [28, 48, 2], [28, 192, 1], [56, 192, 2], [56, 768, 1]], "isogeny_orbits": [[2, 1, 1], [2, 2, 1], [4, 1, 2], [4, 4, 1], [7, 8, 1], [8, 2, 2], [8, 8, 1], [14, 8, 1], [14, 16, 1], [28, 8, 2], [28, 32, 1], [56, 16, 2], [56, 64, 1]], "psl2index": 24, "nu2": 0, "nu3": 0, "cusps": 4, "psl2level": 8, "sl2level": 8, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 1]], "cusp_widths": [[4, 2], [8, 2]], "psl2label": "8.24.1.a.1", "sl2label": "8.24.1.a.1", "CPlabel": "8B1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.24.1.10", "Glabel": null, "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["3136.2.a.m"], "dims": [1], "mults": [1], "traces": [0, 0, -2, 0, 0, 6, -2, 0, 0, 10, 0, 2, -10, 0, 0, -14, 0, -10, 0, 0, 6, 0, 0, -10, -18, -2, 0, 0, -6, -14, 0, 0, -22, 0, -14, 0, 22, 0, 0, -26, 0, -18, 0, -14, 2, 0, 0, 0, 0, 30, 26, 0, 30, 0, -2, 0, -26, 0, 18, 10, 0, -34, 0, 0, -26, -22, 0, 18, 0, -10, -34, 0, 0, -14, 0, 0, 34, 38, 2, 6, 0, -30, 0, -34, 0, 0, -14, 42, 38, 0, 0, 0, 0, 0, 0, 0, -10, 22, 0, 42, 0, -38, 0, 26, 0, -2, 0, 46, 0, -10, 0, 34, -38, 0, 0, 50, 0, 0, 26, 0, -50, -46, -2, 0, 0, 10, -30, 0, 0, 54, 0, 0, 0, 18, 38, -50, -34, 0, 22, 10, 0, 50, 0, 0, 54, 0, 46, -58, 0, 0, 58, -50, 0, 0, 0, 0, 0, 46, 38, -58, 0, 26, 0, 0, -62, 0, 0, 62], "trace_hash": 2150367284721650669, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6], [7, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "8.05070338147029846671", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 7], "num_bad_primes": 2, "level_radical": 14, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": false, "num_known_degree1_points": 2, "lattice_labels": ["1.1.0.a.1", "2.3.0.a.1", "4.2.0.a.1", "4.6.0.a.1", "4.6.0.c.1", "4.6.0.e.1", "4.12.0.d.1", "56.12.0.bx.1", "56.12.1.c.1", "56.24.1.n.1"], "lattice_x": [2429, 3893, 964, 964, 3893, 6821, 3893, 6464, 9036, 6464], "curve_label": "3136.m4", "canonical_conjugator": [1, 0, 3, 25], "has_obstruction": -1, "num_known_degree1_noncusp_points": 1, "num_known_degree1_noncm_points": 1, "models": 1, "all_degree1_points_known": null}