# Data for modular curve with label 56.96.1.ch.1, downloaded from the LMFDB on 01 June 2024.
{"label": "56.96.1.ch.1", "coarse_level": 56, "coarse_index": 96, "genus": 1, "coarse_label": "56.96.1.ch.1", "coarse_class": "56.96.1.ch", "coarse_class_num": 60, "coarse_num": 1, "level": 56, "index": 96, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[17, 52, 24, 53], [21, 26, 54, 41], [53, 26, 4, 11], [55, 38, 24, 29]], "canonical_generators": [[1, 0, 8, 1], [1, 0, 28, 1], [1, 8, 0, 1], [1, 8, 4, 35], [1, 8, 10, 5], [1, 8, 18, 49], [1, 8, 26, 21], [9, 8, 48, 49], [15, 0, 28, 15]], "parents": ["8.48.0.l.1", "56.48.0.m.2", "56.48.0.n.2", "56.48.0.ba.2", "56.48.1.bi.2", "56.48.1.bj.2", "56.48.1.bv.1"], "parents_conj": [[53, 33, 33, 34], [14, 55, 25, 47], [20, 11, 29, 47], [0, 39, 3, 24], [10, 25, 51, 13], [52, 5, 9, 25], [1, 0, 0, 1]], "reductions": ["1.1.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "4.12.0.b.1", "4.12.0.b.1", "8.48.0.l.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 2, 2], [4, 4, 2], [7, 48, 1], [8, 4, 2], [8, 8, 5], [14, 48, 3], [28, 96, 2], [28, 192, 2], [56, 192, 2], [56, 384, 5]], "kummer_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 24, 1], [8, 2, 2], [8, 4, 5], [14, 24, 3], [28, 48, 2], [28, 96, 2], [56, 96, 2], [56, 192, 5]], "isogeny_orbits": [[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 8, 1], [8, 1, 2], [8, 2, 1], [8, 4, 2], [14, 8, 3], [28, 8, 2], [28, 16, 2], [56, 8, 2], [56, 16, 1], [56, 32, 2]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 4, "cusp_orbits": [[1, 4], [4, 3]], "cusp_widths": [[4, 8], [8, 8]], "psl2label": "8.96.1.a.1", "sl2label": "8.96.1.a.1", "CPlabel": "8K1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "56.96.1.560", "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": 0, "lattice_labels": ["1.1.0.a.1", "2.2.0.a.1", "2.3.0.a.1", "2.6.0.a.1", "4.6.0.c.1", "4.6.0.d.1", "4.12.0.b.1", "8.12.0.n.1", "8.12.0.o.1", "8.24.0.e.1", "8.24.0.i.1", "8.24.0.bb.2", "8.48.0.l.1", "56.6.0.c.1", "56.6.0.d.1", "56.6.0.e.1", "56.6.0.f.1", "56.12.0.a.1", "56.12.0.b.1", "56.12.0.bv.1", "56.12.1.a.1", "56.24.0.e.1", "56.24.0.h.2", "56.24.0.i.1", "56.24.1.d.1", "56.48.0.m.2", "56.48.0.n.2", "56.48.0.ba.2", "56.48.1.bi.2", "56.48.1.bj.2", "56.48.1.bv.1", "56.96.1.ch.1"], "lattice_x": [3375, 2625, 4125, 2766, 7828, 6234, 6578, 9422, 8141, 6141, 8391, 9516, 9516, 422, 5109, 3984, 1547, 1594, 2766, 3891, 5016, 2766, 5016, 7266, 3891, 2766, 6141, 8391, 5016, 7266, 3891, 6141], "curve_label": null, "canonical_conjugator": [10, 45, 17, 25], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null}