# Stored data for newform 864.2.bu.a, downloaded from the LMFDB on 19 April 2024.
{"label": "864.2.bu.a", "space_label": "864.2.bu", "level": 864, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3161129485152, "dim": 3408, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 72, "char_parity": 1, "char_degree": 24, "char_conductor": 864, "char_orbit_label": "bu", "char_is_real": false, "Nk2": 3456, "analytic_conductor": 6.899074734638625, "level_radical": 6, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [864, 72, [703, 325, 353], [72, 63, 32]], "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [13, 61, 85, 133, 157, 205, 229, 277, 301, 349, 373, 421, 445, 493, 517, 565, 589, 637, 661, 709, 733, 781, 805, 853], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 142, "sato_tate_group": "1.2.3.c72", "trace_display": [-24, -24, -24, -24], "traces": [3408, -24, -24, -24, -24, -24, -24, -12, -24, -12, -24, -24, -24, -24, 0, -24, 0, -24, -12, -24, -24, -24, -24, 36, -24, -48, -24, -48, -24, -24, -48, -24, -48, -48, -12, -24, -12, -24, -24, -24, -24, -144, -24, -12, -24, -12, 0, -24, 0, 288, -60, -24, -48, -24, -48, -24, -24, 84, -24, -24, -24, -12, -48, -12, -48, 168, -24, -72, -24, -24, -12, -24, -12, -24, -24, -24, -24, -24, 0, -48, 0, -48, -144, -252, -84, -24, -24, -24, -12, -24, -12, 204, -24, -24, -48, -24, -48, -12, -24, -12, -24, -96, -24, -24, -24, -24, -48, 60, -48, 144, 0, -24, 0, -24, -24, -12, -312, -12, -108, -120, -24, -84, -24, -24, -12, 60, -24, -192, -48, -24, -24, -216, -24, -528, 216, -240, -24, -240, -24, -336, -24, -24, 0, -612, 0, -276, -24, -24, -24, -456, -24, 204, -132, -12, -24, -264, -24, -216, -48, -528, -96, -192, -48, -192, -24, -24, 48, 444, -24, -252, -24, -12, -24, -24, 0, -624, 0, -24, -12, -24, -12, -24, -24, 192, -24, -288, -156, -48, -24, -48, -48, -24, -48, 240, -24, -24, -12, -24, -12, -24, -24, -24, -552, -168, -24, -12, 0, -12, 0, 336, -24, 168, -24, -24, -48, -24, -48, -276, 648, -24, -180, -24, -48, -12, -48, -12, -24, 324, -24, -24, -24, -24, -12, -24, -12, -360, -24, -192, 0, -24, 0, -48, -24, -48, -24, -504, -24, 72, -24, -24, -12, -300, -12, 768, -408, -24, -48, 132, -24, 444, -24, -12, -264, 288, -24, 240, -288, -24, -48, 1176, 0, 36, 0, -24, -384, 300, -24, -432, -336, -12, -24, 252, -24, 300, -204, -336, -696, 216, 1296, 444, -360, -24, -24, -324, -24, 504, -24, -48, -336, 396, -24, 540, 0, -24, 0, 24, -12, 360, -24, 96, -288, 696, -24, 420, -264, -12, -24, 204, -48, -300, -48, -72, -456, -24, -48, -24, -24, -24, -24, 552, -24, -12, -24, -12, 0, -228, 0, -432, 336, -228, -12, -24, -12, -24, -24, -24, -24, -648, -24, -48, -48, -48, -48, -336, -24, 624, -228, -24, -12, -24, -12, 336, -24, 336, -24, -24, 0, -12, 0, -12, 408, 744, -24, -228, -24, -120, -48, 96, -48, -1200, 12, -24, -48, -24, -48, -12, -336, -12, 360, -84, -228, 0, -24, -132, -12, -408, -12, 780, 0, -276, 0, 504, -24, 1344, -24, -48, -648, 324, -24, 888, -24, -204, -12, 1104, -24, 1164, -48, -420, -24, 1560, -24, 312, 744, -12, -228, 1224, -24, 648, -60, -492, 0, 1308, 0, 840, -60, -492, -24, 324, 336, 612, -24, 192, -24, 624, -24, 1488, -48, -420, -24, 408, -12, 576, -24, -384, 888, 468, -24, 1056, -228, -48, -24, 672, 0, 1032, 0, -1068, -12, 480, -12, 312, -360, -132, -24, 936, -24, 192, -24, -12, -48, 408, -48, -1080, -96, -24, -48, -24, -48, -276, 264, 864, -504, -348, -228, -12, 0, -12, 0, -1104, -24, 588, -24, -24, -12, 72, -12, 768, 480, 24, -24, -228, -48, -48, -48, -480, -24, 516, -24, 288, -24, 72, -12, 720, -12, -444, -1164, -24, 0, -24, 0, -108, 96, -12, -168, 540, -24, 240, -24, -24, 624, -288, -48, 48, 624, -228, -48, 384, -24, 756, -408, -12, 360, 168, -24, 396, 276, -24, 468, -336, 0, 1584, 0, -24, 408, 696, -24, 960, 600, -48, -24, 456, -24, 600, -504, 0, 984, 1644, -24, 216, 480, -72, -504, 984, -24, -492, -24, -12, 600, 480, 204, 24, 0, -492, 0, 108, -456, 360, -504, -24, 456, -1116, -24, 1236, 360, -12, -408, 324, -48, 1320, -48, -48, -348, 180, -12, 312, 312, 480, -24, 996, -24, 432, -168, -48, 0, 984, 0, -696, 1068, -24, -420, 96, -12, -840, -24, -24, 36, 312, -24, -12, -48, -12, -48, -732, -1032, -648, -24, -228, -48, -120, -48, 816, -24, -24, -24, -408, 0, -12, 0, -12, 1032, -756, -24, 624, -228, -24, -12, 408, -12, 408, -24, 444, -48, -324, -48, -768, -1224, -48, -24, 564, -24, -684, -24, -24, -12, -36, -12, -2088, 0, -24, 0, -732, 408, -1092, -552, -12, -648, -780, -228, -780, -24, -24, -48, -2040, -96, -276, -48, -24, -24, -984, -24, 636, 552, -12, -24, -1044, -84, -588, -24, 480, 0, -24, 0, -540, -24, -24, 252, 600, -24, -1680, -24, -48, -228, -672, -24, -1692, -48, -24, -24, -276, -12, -792, -24, -384, 576, -1152, -24, -972, 288, -420, -24, -1164, 0, -84, 0, -24, -48, -888, -48, -612, -480, 72, -984, -780, -24, 408, -228, -12, -48, 204, -48, 588, -24, -960, -12, -108, -12, -324, -24, -24, 480, 1320, -24, -456, 0, -48, 0, 576, -24, -1296, -24, -144, -12, -144, -12, -768, -432, 1272, 456, -348, -456, -12, -48, -12, -24, -1680, -144, -312, 120, 84, -48, -1188, -48, 1104, 48, 264, 0, -1092, 0, -324, 840, 420, -24, -24, -384, -804, 336, 480, 492, 432, -12, -1968, 1968, 444, -456, -1368, -528, -2256, -24, -48, 1128, -1032, -24, -768, 1248, 1704, -12, -1728, 0, -1716, 0, 456, 1416, -2064, -24, -780, 1560, -12, -24, -2088, -600, -816, 492, 636, 1920, -1908, -96, -720, 816, -84, -24, -960, -600, -696, -24, -12, 1560, -1560, -24, -1236, 0, 660, 0, -456, -12, -1380, -24, 624, 984, -240, 60, -3312, 1128, -48, -252, -1548, -1056, -2196, -48, -216, 492, -1800, 192, -636, 984, 384, -24, -2112, -384, -336, -24, -12, 0, -1260, 0, 408, 1380, 264, -48, -780, -48, 192, -24, 660, 120, 24, -24, -12, -48, -12, -48, 1188, -252, -432, -984, -24, 192, 348, -12, -1752, -24, -24, -24, 588, 0, -48, 0, -48, 720, -720, -24, -888, 240, -228, -12, -1272, -12, 228, -24, -24, -48, -732, -48, 528, -552, -12, 1416, -1440, -24, -252, -228, 456, -48, 240, -48, 324, 0, 372, 0, -624, -24, -1668, -24, -12, 768, 252, -24, -852, -24, -24, -12, -180, -24, -2064, -48, -24, -216, -1284, -888, -2040, -672, -48], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0], [1, 1, 32, 7, 1, 8, 0], [1, 1, 864, 47, 1, 72, 0]], "char_orbit_index": 47, "prim_orbit_index": 47, "minimal_twist": "864.2.bu.a", "char_is_minimal": true, "conrey_index": 13, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}