# Data for modular curve with label 68.1836.64-34.a.1.5, downloaded from the LMFDB on 28 May 2024.
{"label": "68.1836.64-34.a.1.5", "coarse_level": 34, "coarse_index": 918, "genus": 64, "coarse_label": "34.918.64.a.1", "coarse_class": "34.918.64.a", "coarse_class_num": 1, "coarse_num": 1, "level": 68, "index": 1836, "fine_num": 5, "contains_negative_one": false, "determinant_label": "1.1.1", "scalar_label": "4.2.1", "generators": [[3, 8, 20, 65], [5, 60, 40, 63], [13, 64, 54, 17], [43, 30, 54, 47], [45, 66, 64, 57]], "canonical_generators": [[1, 2, 10, 21], [1, 8, 4, 33], [3, 8, 24, 31], [33, 0, 0, 67], [33, 34, 34, 33], [67, 0, 34, 67], [67, 34, 0, 67]], "parents": ["68.12.0-2.a.1.2", "68.612.22-34.a.1.1"], "parents_conj": null, "reductions": ["2.6.0.a.1", "2.6.0.a.1", "17.153.7.a.1", "34.918.64.a.1"], "factorization": [], "orbits": [[2, 1, 3], [4, 4, 3], [17, 32, 1], [17, 256, 1], [34, 32, 3], [34, 256, 3], [68, 128, 3], [68, 1024, 3]], "kummer_orbits": [[2, 1, 3], [4, 2, 3], [17, 16, 1], [17, 128, 1], [34, 16, 3], [34, 128, 3], [68, 64, 3], [68, 512, 3]], "isogeny_orbits": [[2, 1, 3], [4, 2, 3], [17, 2, 1], [17, 16, 1], [34, 2, 3], [34, 16, 3], [68, 4, 3], [68, 32, 3]], "psl2index": 918, "nu2": 0, "nu3": 0, "cusps": 27, "psl2level": 34, "sl2level": 68, "rational_cusps": 3, "cusp_orbits": [[1, 3], [8, 3]], "cusp_widths": [[34, 27]], "psl2label": "34.918.64.a.1", "sl2label": "68.1836.64-34.a.1.4", "CPlabel": null, "Slabel": null, "SZlabel": null, "RZBlabel": null, "RSZBlabel": "68.1836.64.10", "Glabel": null, "name": null, "rank": 28, "genus_minus_rank": 36, "newforms": ["17.2.a.a", "34.2.a.a", "68.2.a.a", "289.2.a.a", "289.2.a.b", "289.2.a.d", "578.2.a.a", "578.2.a.b", "578.2.a.c", "578.2.a.d", "578.2.a.e", "578.2.a.h", "1156.2.a.a", "1156.2.a.c", "1156.2.a.d", "1156.2.a.f", "1156.2.a.h"], "dims": [1, 1, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 4], "mults": [3, 2, 1, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1], "traces": [-1, -8, 0, -22, -18, 8, -1, -22, -66, 24, -64, 20, 12, 14, -96, 36, -54, 8, 14, -162, 32, -76, -42, 60, 68, 24, -100, -12, 44, 36, -70, -54, 60, -34, 84, -136, 92, 98, -210, 132, 18, 92, -246, 104, 60, -190, 38, -4, -78, 152, 132, -264, 140, -42, 156, -156, 120, -124, 164, 168, 56, 180, 62, -294, -4, 36, 92, -40, 90, -16, 0, -246, -22, -16, 104, -276, 132, -76, 12, 20, -60, 68, -300, -112, -226, 132, -60, 56, 48, 104, 126, -366, 80, 84, 122, -342, -96, 168, 104, -232, 188, 132, 72, 48, 128, -160, 210, -168, -348, 44, -34, -148, 60, 146, 86, -72, 320, -210, -72, 108, 164, -364, 156, 150, 158, -72, -136, -402, 158, -436, 362, -222, 26, -40, 120, -160, 0, 176, -60, 264, 314, 204, 176, 162, -340, -450, -40, 192, 386, 78, -4, 48, 62, -270, 368, -396, 80, -336, 80, 252, 456, -84, -10, 156, 72, -222, 8, 356], "trace_hash": 757230750736196000, "simple": false, "squarefree": false, "power": false, "conductor": [[2, 58], [17, 121]], "log_conductor": {"__RealLiteral__": 0, "data": "383.02135110327897365639", "prec": 80}, "q_gonality": null, "q_gonality_bounds": [17, 42], "qbar_gonality": null, "qbar_gonality_bounds": [17, 42], "bad_primes": [2, 17], "num_bad_primes": 2, "level_radical": 34, "level_is_squarefree": false, "cm_discriminants": [-4], "obstructions": [], "pointless": false, "num_known_degree1_points": 0, "lattice_labels": null, "lattice_x": null, "curve_label": null, "canonical_conjugator": [41, 29, 0, 1], "has_obstruction": -1, "num_known_degree1_noncusp_points": 0, "num_known_degree1_noncm_points": 0, "models": null, "all_degree1_points_known": null, "coarse_parents": ["2.6.0.a.1", "34.306.22.a.1", "34.459.28.a.1"]}