# Data for modular curve with label 24.96.1.cf.2, downloaded from the LMFDB on 03 June 2024.
{"label": "24.96.1.cf.2", "coarse_level": 24, "coarse_index": 96, "genus": 1, "coarse_label": "24.96.1.cf.2", "coarse_class": "24.96.1.cf", "coarse_class_num": 58, "coarse_num": 2, "level": 24, "index": 96, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "8.2.2", "generators": [[5, 10, 16, 19], [7, 14, 0, 19], [7, 22, 0, 5], [13, 12, 16, 17]], "canonical_generators": [[1, 0, 2, 13], [1, 0, 8, 1], [1, 0, 12, 1], [1, 8, 0, 1], [1, 8, 2, 9], [1, 8, 10, 21], [3, 4, 4, 1], [7, 0, 12, 7], [9, 8, 16, 17]], "parents": ["8.48.0.k.1", "24.48.0.k.2", "24.48.0.m.2", "24.48.0.ba.2", "24.48.1.bg.1", "24.48.1.bi.2", "24.48.1.bv.1"], "parents_conj": [[21, 23, 8, 15], [1, 0, 0, 1], [11, 15, 10, 7], [1, 0, 0, 1], [5, 21, 8, 19], [19, 7, 20, 1], [23, 17, 0, 19]], "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.k.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 8, 1], [4, 2, 2], [4, 4, 2], [6, 8, 3], [8, 4, 2], [8, 8, 3], [8, 16, 1], [12, 16, 2], [12, 32, 2], [24, 32, 2], [24, 64, 3], [24, 128, 1]], "kummer_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 2, 2], [8, 4, 3], [8, 8, 1], [12, 8, 2], [12, 16, 2], [24, 16, 2], [24, 32, 3], [24, 64, 1]], "isogeny_orbits": [[2, 1, 3], [3, 4, 1], [4, 1, 2], [4, 2, 2], [6, 4, 3], [8, 1, 2], [8, 2, 1], [8, 4, 2], [12, 4, 2], [12, 8, 2], [24, 4, 2], [24, 8, 1], [24, 16, 2]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 8, "sl2level": 8, "rational_cusps": 0, "cusp_orbits": [[2, 4], [4, 2]], "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": "24.96.1.588", "Glabel": "768.1089273", "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["576.2.a.c"], "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": 1086616701052248176, "simple": true, "squarefree": true, "power": true, "conductor": [[2, 6], [3, 2]], "log_conductor": {"__RealLiteral__": 0, "data": "6.35610766069589123929", "prec": 74}, "q_gonality": 2, "q_gonality_bounds": [2, 2], "qbar_gonality": 2, "qbar_gonality_bounds": [2, 2], "bad_primes": [2, 3], "num_bad_primes": 2, "level_radical": 6, "level_is_squarefree": false, "cm_discriminants": [], "obstructions": [], "pointless": null, "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.d.2", "8.24.0.e.1", "8.24.0.i.1", "8.48.0.k.1", "24.6.0.c.1", "24.6.0.d.1", "24.6.0.i.1", "24.6.0.j.1", "24.12.0.a.1", "24.12.0.b.1", "24.12.0.bz.1", "24.12.1.bw.1", "24.24.0.e.1", "24.24.0.h.2", "24.24.0.by.2", "24.24.1.d.1", "24.48.0.k.2", "24.48.0.m.2", "24.48.0.ba.2", "24.48.1.bg.1", "24.48.1.bi.2", "24.48.1.bv.1", "24.96.1.cf.2"], "lattice_x": [3375, 2625, 4125, 2766, 7828, 6234, 6578, 9422, 8141, 5016, 7266, 8391, 8391, 3984, 422, 1547, 5109, 2766, 1594, 3891, 5016, 2766, 6141, 9516, 3891, 3891, 6141, 9516, 5016, 7266, 2766, 6141], "curve_label": null, "canonical_conjugator": [13, 13, 11, 10], "has_obstruction": 0, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": 1, "all_degree1_points_known": null}