# Data for modular curve with label 24.96.1.cp.2, downloaded from the LMFDB on 10 June 2024.
{"label": "24.96.1.cp.2", "coarse_level": 24, "coarse_index": 96, "genus": 1, "coarse_label": "24.96.1.cp.2", "coarse_class": "24.96.1.cp", "coarse_class_num": 68, "coarse_num": 2, "level": 24, "index": 96, "fine_num": 0, "contains_negative_one": true, "determinant_label": "1.1.1", "scalar_label": "12.2.1", "generators": [[5, 4, 18, 13], [13, 2, 0, 13], [17, 6, 6, 7], [17, 18, 6, 17], [19, 8, 6, 13]], "canonical_generators": [[1, 0, 2, 1], [1, 0, 12, 1], [1, 6, 0, 17], [1, 12, 0, 1], [5, 6, 8, 17], [7, 6, 14, 7], [11, 0, 2, 11], [11, 6, 2, 17], [13, 12, 12, 13]], "parents": ["12.48.0.a.1", "24.48.0.o.2", "24.48.1.bz.1"], "parents_conj": [[11, 13, 18, 17], [16, 9, 9, 23], [1, 0, 0, 1]], "reductions": ["2.6.0.a.1", "2.6.0.a.1", "2.6.0.a.1", "3.4.0.a.1", "6.24.0.a.1", "12.48.0.a.1"], "factorization": [], "orbits": [[2, 1, 3], [3, 2, 1], [3, 6, 1], [4, 4, 3], [6, 2, 3], [6, 6, 3], [8, 16, 3], [12, 4, 2], [12, 8, 2], [12, 24, 3], [24, 16, 2], [24, 32, 2], [24, 96, 3]], "kummer_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 8, 3], [12, 2, 2], [12, 4, 2], [12, 12, 3], [24, 8, 2], [24, 16, 2], [24, 48, 3]], "isogeny_orbits": [[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 2, 3], [6, 1, 3], [6, 3, 3], [8, 4, 3], [12, 2, 3], [12, 6, 3], [24, 4, 3], [24, 12, 3]], "psl2index": 96, "nu2": 0, "nu3": 0, "cusps": 16, "psl2level": 12, "sl2level": 12, "rational_cusps": 2, "cusp_orbits": [[1, 2], [2, 3], [4, 2]], "cusp_widths": [[2, 4], [4, 4], [6, 4], [12, 4]], "psl2label": "12.96.1.a.1", "sl2label": "12.96.1.a.1", "CPlabel": "12V1", "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "24.96.1.1327", "Glabel": "768.335742", "name": null, "rank": 1, "genus_minus_rank": 0, "newforms": ["576.2.a.b"], "dims": [1], "mults": [1], "traces": [0, 0, -2, 0, -4, 2, -2, -4, -8, 6, -8, -6, 6, 4, 0, -2, -4, 2, -4, 8, 10, 8, 4, 6, 2, -18, -16, 12, 2, -18, 8, 4, 6, -12, 14, 16, 2, 12, 24, 6, -12, -6, 0, 2, -18, -16, -20, 8, -12, -22, -10, -16, 18, -20, -2, -8, -10, -8, 26, -26, -28, -18, 12, -24, -6, 6, 20, 18, 12, -30, -2, -24, 8, 10, 20, 0, -2, -14, 30, -6, -12, 10, 32, -14, 0, -20, 14, -22, -26, -8, 36, -16, 32, 12, 12, 24, 6, -26, 4, 18, 44, -26, -28, -10, 36, 2, 44, 14, 24, -38, 40, -38, -42, -44, -16, 14, 12, 8, 6, -12, 10, 34, -2, -4, -4, 6, 10, -32, -48, -14, -4, -8, -24, -38, 22, 2, -18, 28, 22, -26, 4, 30, 16, 28, 50, -24, 10, -42, -12, -32, 18, -50, -4, 8, 4, 16, -16, -50, 42, 6, -12, 54, 16, -36, 30, -24, -40, 26], "trace_hash": 246910301975607220, "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": false, "num_known_degree1_points": 2, "lattice_labels": ["1.1.0.a.1", "2.2.0.a.1", "2.3.0.a.1", "2.6.0.a.1", "3.4.0.a.1", "6.8.0.a.1", "6.12.0.a.1", "6.24.0.a.1", "12.48.0.a.1", "24.6.0.d.1", "24.6.0.i.1", "24.12.0.b.1", "24.24.0.cd.1", "24.24.1.eq.1", "24.48.0.o.2", "24.48.1.bz.1", "24.96.1.cp.2"], "lattice_x": [3162, 3162, 5758, 4190, 951, 1928, 5013, 3728, 5013, 7172, 9023, 8098, 6478, 9306, 3162, 6864, 5013], "curve_label": "576.b5", "canonical_conjugator": [10, 7, 1, 0], "has_obstruction": -1, "num_known_degree1_noncusp_points": 1, "num_known_degree1_noncm_points": 1, "models": 1, "all_degree1_points_known": null}