# Stored data for newform 864.2.y.c, downloaded from the LMFDB on 20 April 2024. {"label": "864.2.y.c", "space_label": "864.2.y", "level": 864, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9008848555737952, "dim": 54, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [6135275584, 758017966752, 39206249755776, -229883314988440, 33365493246636, 1081964111196312, 1602331642769189, 1866109494444768, 3826419488486433, 11199074190827864, 30320481411615870, 60109943837034006, 92932545142593653, 117563339734433622, 123664823598339450, 108326844130965452, 79138513810887246, 47137235653229940, 21636761032335536, 6568715858884866, 538913748918150, -622046505992596, -135230313995550, 251491739310576, 252819537069131, 117905343565482, 42690360493044, 7474354038548, -2382195346236, -454350384630, 1349107689617, 488963397096, 97732481769, 62328886706, 762688359, -8483636034, 6441577406, 1788165054, 270808920, 141061310, -35554446, -2697336, 13296992, 718182, -40653, 14126, -4941, 1908, 4271, 54, 0, 26, 0, 0, 1]], [7, [1043846369344, 4364712437280, 671413897877472, -3482074515105632, 396321668731320, 39461481058734504, -77892384802386607, -137617446154368042, 810319743296915220, -1671532643850617306, 2636367448428540228, -3558092075504373438, 3356744561873973200, -1611888694963866888, 1485036003948827193, -96258609209255114, -422502220761950484, -22684586479743978, 142869918867943535, 31067650295237364, 53885205590992695, -48929317625666462, -18742941435404010, 12068003497817844, 9794031111614552, -1790108852267880, -1144962048654090, -211513574524496, 187502647148022, 134280503022222, 7867917985037, -23610319736802, -169185112272, 3143154177202, 674718683310, 53246956536, 63701454302, 5038074708, 6834612195, 4672416094, 1225770846, 241821684, 76051586, 3763170, -124686, 800116, 112917, -3924, 13673, 84, -243, 106, 9, 0, 1]]], "char_order": 9, "char_parity": 1, "char_degree": 6, "char_conductor": 27, "char_orbit_label": "y", "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, 9, [703, 325, 353], [9, 9, 2]], "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [97, 193, 385, 481, 673, 769], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 9, "sato_tate_group": "1.2.3.c9", "trace_display": [0, 0, 0, 0], "traces": [54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 12, 0, -18, 0, 12, 0, 0, 0, 0, 0, 21, 0, 6, 0, -36, 0, -9, 0, 0, 0, 0, 0, -24, 0, 3, 0, 21, 0, 42, 0, 0, 0, -18, 0, -24, 0, 36, 0, 72, 0, 39, 0, -18, 0, -18, 0, 30, 0, 48, 0, 27, 0, 24, 0, 0, 0, 0, 0, 84, 0, 36, 0, -72, 0, 36, 0, 0, 0, 0, 0, -6, 0, 33, 0, -36, 0, 72, 0, -36, 0, 9, 0, -120, 0, 24, 0, 84, 0, -18, 0, 0, 0, 0, 0, -42, 0, -60, 0, 120, 0, -42, 0, -108, 0, 9, 0, 120, 0, -18, 0, -48, 0, -60, 0, 0, 0, 0, 0, 84, 0, -51, 0, -108, 0, -108, 0, 0, 0, 0, 0, -96, 0, -90, 0, 36, 0, -57, 0, 0, 0, -72, 0, -108, 0, -132, 0, 138, 0, -96, 0, 54, 0, -72, 0, 15, 0, -42, 0, 18, 0, -90, 0, -27, 0, 0, 0, 156, 0, -108, 0, -150, 0, -30, 0, 72, 0, 9, 0, -6, 0, -48, 0, -90, 0, -84, 0, -54, 0, 18, 0, -132, 0, -60, 0, 144, 0, -54, 0, 0, 0, 0, 0, 3, 0, -12, 0, 120, 0, 12, 0, 63, 0, 18, 0, 174, 0, 18, 0, -108, 0, 0, 0, 0, 0, -9, 0, 150, 0, 78, 0, -216, 0, 156, 0, -54, 0, 0, 0, -222, 0, 135, 0, -24, 0, 54, 0, -36, 0, -54, 0, -204, 0, 132, 0, 204, 0, 126, 0, 63, 0, -54, 0, 78, 0, 84, 0, 54, 0, 144, 0, 0, 0, -27, 0, 267, 0, 108, 0, -240, 0, 126, 0, -54, 0, -54, 0, 12, 0, 84, 0, -162, 0, -18, 0, 144, 0, 54, 0, -360, 0, -30, 0, 216, 0, 27, 0, 54, 0, 0, 0, -54, 0, 48, 0, 174, 0, -30, 0, 90, 0, 54, 0, 258, 0, -120, 0, -150, 0, -54, 0, 9, 0, 0, 0, 234, 0, -102, 0, -276, 0, -138, 0, 0, 0, -27, 0, -231, 0, -192, 0, 66, 0, -87, 0, 108, 0, 72, 0, -246, 0, -72, 0, 276, 0, -162, 0, -180, 0, 72, 0, 216, 0, -114, 0, 138, 0, -135, 0, 0, 0, 0, 0, 294, 0, -93, 0, -318, 0, -78, 0, -72, 0, 9, 0, -69, 0, -42, 0, -144, 0, -6, 0, -90, 0, -54, 0, -312, 0, 123, 0, 234, 0, 96, 0, 0, 0, 0, 0, -180, 0, 132, 0, 282, 0, 114, 0, -162, 0, -18, 0, 240, 0, 96, 0, -135, 0, 252, 0, 126, 0, 81, 0, 192, 0, 282, 0, -258, 0, 180, 0, 0, 0, 54, 0, -198, 0, 180, 0, 150, 0, 288, 0, -72, 0, 108, 0, -324, 0, 300, 0, 396, 0, 228, 0, 81, 0, 108, 0, 132, 0, 198, 0, -42, 0, 306, 0, 0, 0, 54, 0, 324, 0, 204, 0, -390, 0, 84, 0, 180, 0, 54, 0, -72, 0, 90, 0, -183, 0, 144, 0, -108, 0, 72, 0, -300, 0, 210, 0, 324, 0, -102, 0, 0, 0, 0, 0, -132, 0, -114, 0, 339, 0, 150, 0, 90, 0, 72, 0, 342, 0, -90, 0, -234, 0, -183, 0, -180, 0, 18, 0, 132, 0, -309, 0, -423, 0, -144, 0, 108, 0, 0, 0, -192, 0, -150, 0, 36, 0, -414, 0, -108, 0, 72, 0, -216, 0, -294, 0, 504, 0, -234, 0, 90, 0, 54, 0, 72, 0, -306, 0, -96, 0, -402, 0, 0, 0, 0, 0, 390, 0, -258, 0, -243, 0, -228, 0, -108, 0, 0, 0, 66, 0, -180, 0, -156, 0, -234, 0, 252, 0, -36, 0, -378, 0, -135, 0, 183, 0, -48, 0, 0, 0, 54, 0, -114, 0, -138, 0, 270, 0, 51, 0, 144, 0, -126, 0, 360, 0, 108, 0, -162, 0, -12, 0, 18, 0, -126, 0, 174, 0, 12, 0, -366, 0, 162, 0, 0, 0, 0, 0, -156, 0, 138, 0, 6, 0, 174, 0, 270, 0, -90, 0, -333, 0, 156, 0, 324, 0, 324, 0, -288, 0, -54, 0, 66, 0, 384, 0, 66, 0, -72, 0, 0, 0, 0, 0, 357, 0, 84, 0, -306, 0, 177, 0, -117, 0, -18, 0, -60, 0, 198, 0, -222, 0, 30, 0, -72, 0, -108, 0, -354, 0, -84, 0, 270, 0, 99, 0, 108, 0, 0, 0, -42, 0, -126, 0, 318, 0, -228, 0, -216, 0, -198, 0, 318, 0, -216, 0, -246, 0, -24, 0, 261, 0, -108, 0, 180, 0, -42, 0, -366, 0, -408, 0, 0, 0, 108, 0, -396, 0, -372, 0, -60, 0, -48, 0, -63, 0, -198, 0, -480, 0, -168, 0, 240, 0, -264, 0, 108, 0, -243, 0, 270, 0, -258, 0, 84, 0, -138, 0, 162, 0, 108, 0, 402, 0, -87, 0, -510, 0, -258, 0, 198, 0, -198, 0, 42, 0, -150, 0, -228, 0, -9, 0, -108, 0, -144, 0, -510, 0, -60, 0, 447, 0, 18, 0, 0, 0, 0, 0, -78, 0, 96, 0, 336, 0, 258, 0, 180, 0, -54, 0, 396, 0, 273, 0, -162, 0, 342, 0, -288, 0, -126, 0, 312, 0, 330, 0, -390, 0, 354, 0, 0, 0, 0, 0, -174, 0, 486, 0, 93, 0, 420, 0, -252, 0, -171, 0, -324, 0, 384, 0, 324, 0, 231, 0, 180, 0, -18, 0, 306, 0, 228, 0, 237, 0, 366, 0, 0, 0, -27, 0, 315, 0, 468, 0, -378, 0, 96, 0, -234, 0, -72, 0, -24, 0, 102, 0, -198, 0, 306, 0, 360, 0, -162, 0, -270, 0, 60, 0, 384, 0, -96, 0, -324, 0, 108, 0, -210, 0, -150, 0, 216, 0, -270, 0, 90, 0, -36, 0, 462, 0, -42, 0, -102, 0, -252, 0, 18, 0, 108, 0, 276, 0], "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]], "char_orbit_index": 25, "prim_orbit_index": 5, "minimal_twist": "864.2.y.b", "char_is_minimal": true, "conrey_index": 97, "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}