# Stored data for newform 671.2.bn.a, downloaded from the LMFDB on 05 May 2024.
{"label": "671.2.bn.a", "space_label": "671.2.bn", "level": 671, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2680093147807, "dim": 208, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [140920641, -18740094795, 9906576166827, -745284218344056, 24794214712415091, -493112194905657249, 7210735470605211297, -84023626074703595880, 779410067232119538442, -5917813260722988776084, 40028608618871722523089, -249165022904115604610559, 1506702293998359111474054, -9569507198988168012531746, 46183315631598881335585707, -51207523396341248002994578, -562221621081050748526892044, -253061769052271093128524053, 37194860680519795089696220514, -316545057501131710147898666664, 1622311616013861960929680688484, -3915865766404598726016198606638, -10360409494570442864441692417820, 99485057255790559616078522970002, -87210349257336342901506092552412, -1931557352312826821107822887749665, 12165045657064027808499728635255965, -37136787545709730777739530829144821, 47422519238194803222575043301804202, 125601442703756474699982689023263816, -822318227566707028543195563711446264, 1763761230887603069005769034358562333, 160374823814704633129642640758360661, -10483190534124507033278109031526746541, 23861133083759656488286048160392233147, -2280556062587039351707751517730733366, -99833513032639021322480880542390624612, 193521666941672135761557082745140090060, 64582680927332837102953836409475762225, -811036845480985718451433221650007038206, 852415262740950260209688322030953514579, 1631406948851171594528779227769622100349, -4184131304100953923620465600281183411252, -821060769249953526473728995389740254664, 11173334551836629840248089116766058642288, -5963556654869028020761354179551568718172, -19155778161977546919929177429671650785271, 23560603174636102922723545584182468095582, 15806074560824442522980821907243930373127, -48368505496656516903209584307051910653911, 20663790644208403008186462795287114047734, 57737517179655721220558978742796062045856, -102451658629355526916650124384700917861348, -24080969266003660864774429478128700534929, 200686905571313194892849137726606982946113, -32175364850091052408468975207828493541334, -221287034635890920200263094790866134321131, 56340807955775602755884147405705322977740, 86047654692338748372263580839513368394751, -35737462653068270225308302219891832020045, 138997750185439029811170547748130715875290, 3387815302346425234885706161090631693176, -286389788589600969214098298532617132333104, 9534942897346713021708966615897206052346, 256083323817314581805114686812950100371091, 9214065288113126669563745637890699283113, -81394083908113639713451446196418974434148, -41267722444613784949947382379634305938927, -114846982390950134546790233218785749222782, 50047667982655200850217014179753365726021, 208765614879210128533071374635564166504304, -24060292777869294147265062171680986494639, -167048540350645175807697702014839256424332, -13225007229049127557773265210993896419691, 57449586495628766689584133937907668151383, 35596728949351691764059628319990040552933, 31826013744285147439610593394090970425559, -35633306236872196959837903136951007569321, -61820163535343555421256702113571852186979, 21518957876484326226750143902840656941296, 46059785710357033142862635666636626948637, -5617791936528231247188194355391509376253, -16949861504303603228438630895458393825404, -4039020582601283103646921735836239225152, -2738877228867679492430201829744988159649, 6376364345417591519285044655691411190150, 8249769089486777449421366606169342319843, -4505396064969946847758335603980181583986, -5661312110324108002916273033204041792062, 1827565350394714883317742326987726252218, 1801495058871707762442891985396039054127, -109769895403277067164843368918677822936, 310478137936743045649048825977064983763, -448725216843197650821812217231187632406, -724294157378421973589662856132104121190, 368858749825505145452551049653713346736, 431002128752940981926929206588919503946, -152261244796459685919219347621036323088, -119164428514300883190117229128553987980, 17959736482178580737051956061605530002, -17746427354716941979629986133175915511, 21651784347135521349282260065512283430, 35455135262749711688220711169749664543, -17129476248043407955788277596557545340, -17879965747537026996572160134571750895, 5915464399957599535608869928691902255, 4020395897554815411621952064179886576, -219580745692948159126090791084142297, 744429751869014587092866047351682179, -886978155676307961937874410223183398, -1035017827272193140617768783607166726, 497622457785582336898498547060669694, 432967652601040517872529041749316151, -119564075633198910846318649283479644, -76519537350133041974073535088603565, -10937176804480163840249696348030153, -18840466619101815093089109746896698, 21034969094020357575069715366273144, 18477634569344120610179366794625052, -8398869920475041493754845996008830, -6407860848603106341766728949349815, 1299856817976479462901697635791268, 860465817307748132758963339720867, 367192256588690060365587164500569, 290430608384476379172160399862455, -292325153675388070754970592011871, -208938196736770781931437208124308, 84681539306881611463392817850672, 59661822274078932002915585781282, -7027515943650886255351036291046, -5653743158698468799513386888287, -4611749809438581018688570144311, -2754229173988010898106187218490, 2324726967542079117927722244227, 1489464943641766898222198071006, -499753299418554864572124472801, -341733600323319817850170653850, 9757067316016360559146182817, 16398765416017929862929621683, 30396530287934829189378522358, 17212592164922861962297920782, -10674522342992470183148164739, -6803635883089866641450451892, 1620132599143531466493148647, 1183310512412749578720949459, 91036152382080537371350508, 9894434598724734207361258, -113196547919237595967486024, -65897908063637872396366587, 28960509927788032564792363, 19130978550292625854788072, -2972924635247157407326434, -2412749922667567326765005, -469411110921287792925014, -181789280117913317549582, 253823776859785879606374, 153501255573645112698909, -48174982558552126236514, -33833311802234633666499, 2760854243799174794484, 2940637399489702263444, 1037847920933106791536, 483893176487654880033, -348623287201950512030, -221600697227229148343, 49741958214297668420, 37767136813134375189, -855913042457047355, -2016869364719876928, -1254339047087028093, -652249011622712301, 299453284839793388, 202692624749391827, -31750575277820831, -26891728404008941, -643478081044904, 625751867056356, 858659689446120, 506518572964212, -156650033645076, -115648606883387, 12727951073260, 11899668793167, 603944699549, 49581458161, -330968933141, -233406250824, 47152940724, 40820737495, -2917816269, -3208677184, -176435198, -87255124, 64122105, 59468143, -7442091, -8150351, 384236, 508687, 12294, 16204, -3488, -7056, 234, 748, -6, -41, 0, 1]]], "char_order": 15, "char_parity": 1, "char_degree": 8, "char_conductor": 61, "char_orbit_label": "bn", "char_is_real": false, "Nk2": 2684, "analytic_conductor": 5.357961975627914, "level_radical": 671, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [671, 15, [123, 551], [15, 2]], "inner_twist_count": 2, "level_primes": [11, 61], "conrey_indexes": [12, 56, 144, 199, 320, 408, 452, 606], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 26, "sato_tate_group": "1.2.3.c15", "trace_display": [0, -2, -10, -10], "traces": [208, 0, -2, 30, -10, -12, -10, 18, -60, -75, -208, -25, 0, -17, -8, 42, 8, -5, -19, -26, 50, 0, 18, -41, -6, -32, -8, 24, 40, -12, -13, 12, 2, -38, 40, -94, 66, 15, -58, 157, 20, 42, -3, -30, -25, 90, -34, -58, 56, -84, 37, 98, 18, 92, 10, 76, 16, -119, -7, -60, -7, 34, 30, 38, -95, 12, -43, 40, 100, 43, -46, -156, -28, -4, -47, -121, 10, -108, 38, -45, -78, -2, -62, -14, 54, 7, 23, -18, 6, 121, 32, -39, 70, 73, -74, 220, -49, -63, 60, -155, 90, 234, 17, -3, -186, -55, 45, 49, -23, 75, -26, 131, -63, 242, -14, 88, -27, 39, -142, -24, 208, -63, 130, 264, 44, -61, -100, -136, -225, -66, -56, 25, -244, -84, -123, -119, -173, 165, -210, 120, -64, 42, 0, -255, 134, -46, 139, -63, 54, 8, 106, 281, 25, 17, -145, -44, 19, -40, 90, 89, -135, 161, 46, 62, 8, -154, -22, 364, -62, -177, 284, -252, 62, -204, 4, -42, 322, -62, 165, -164, -100, 182, -69, -70, 149, 51, -8, 24, -250, 551, 12, -364, -195, 126, 39, -159, 31, 5, -138, 129, -76, -180, 93, 7, -421, -157, -138, -7, 19, -258, -4, 141, -71, 197, -84, -167, 43, 258, -16, 26, 124, -260, 250, 98, 313, -95, 105, -178, 288, 260, -50, 397, 10, 146, 107, 251, 48, 263, -54, 380, 58, 0, 224, -252, 254, 157, 236, -342, -210, -312, 63, 216, -18, -149, -630, -142, -123, -78, -305, -8, 110, -207, -118, 41, 145, -363, -189, 50, 224, -20, -44, 40, 136, 269, 6, 205, -187, -139, 61, 269, 153, 201, -108, 31, 209, 32, 88, -131, -278, 29, 128, -9, 289, -216, 18, -159, 8, -82, 302, -525, 25, -134, 165, -26, -228, 166, 55, -24, -136, -12, -327, 310, 79, 22, -233, -328, -86, -237, -40, -216, -297, -682, -77, -363, -107, -303, -369, -63, -31, 12, 115, 112, 338, 252, 80, 574, 132, -78, -172, 463, 13, -3, 336, -476, 292, 115, 48, 11, -3, -19, 274, -12, 3, 21, -318, 412, 124, 101, 298, 118, -75, 546, -2, 558, -128, -184, 50, 7, -26, -279, -296, -537, -103, 38, -141, -404, 32, -467, -145, 56, 198, -53, -110, -769, -40, 191, -188, -444, -122, -355, 268, 377, 265, 360, 145, 94, 97, 157, 43, 190, -13, 91, -1, 283, -363, 555, -66, -314, 88, -352, -56, 376, 258, 383, 583, -264, -1, -15, 192, 319, -117, -531, 170, -128, 200, 32, -212, -66, 58, 37, -240, 19, -361, 251, 415, 255, -266, -94, -85, -157, -49, 69, -136, 110, -4, -18, 306, -105, -299, -220, -20, 157, 533, -341, 200, 236, 65, 181, -2, -290, -155, -42, 109, 52, 151, -27, 1, 496, -107, -243, 46, -453, 3, 256, -18, 477, 198, 28, 217, 1498, 126, 145, -50, 30, -44, 392, -156, -905, 336, 65, 131, -893, -379, -1303, 25, 324, -141, -626, -236, -628, -58, -202, -182, -388, -521, -90, -239, 242, 55, -379, -129, 258, 254, 75, 70, 392, 34, 189, 316, -94, -380, 195, 232, -234, 70, 202, -46, 58, 42, 394, 276, -318, 79, 33, 223, 12, 317, -346, -56, -413, 465, 317, 134, -91, 129, -260, 252, -30, -453, 84, -28, 190, -182, -1, -575, 515, 144, -71, -202, -826, -37, -404, 156, 486, -136, 254, -335, -200, 140, -260, -127, -98, -140, 1101, 750, -411, -54, 396, 58, 961, 277, 381, -18, 142, 497, -218, 116, -164, 598, 409, -33, 637, -181, -92, 377, 517, 33, 334, -296, 887, -39, 888, 183, -66, -10, 140, 122, 1066, -368, -500, -872, -337, -297, -260, -288, -76, -77, 256, 150, -472, -890, -510, -288, 235, -448, -400, -16, -992, -267, 66, -66, -663, -435, -152, 119, 174, 161, 119, -174, 467, 236, 458, -83, 226, -242, 517, 114, 313, 7, 61, 78, -138, 146, -1202, -707, -53, 751, 110, 164, 60, -138, -251, 149, -83, 350, -884, 114, -421, 104, 46, 7, -956, -114, -1, -489, -560, -651, 670, 307, 33, -517, -34, -204, -678, -207, 708, -5, -752, -422, -6, 283, -224, -30, 14, -390, 543, 171, 181, 394, 8, 543, 982, -95, -38, -156, -269, -57, -48, 484, 55, -19, 173, 261, 1094, 95, -68, 185, 100, -65, 217, 162, 174, 392, 455, 620, -12, -54, -26, -306, 116, 202, -1468, -170, -274, 387, -127, 43, -1055, -121, 651, 169, -405, 244, -399, 255, -182, -550, -40, -240, -1904, -214, 286, -618, -500, -353, 13, 157, 1000, -100, 657, -107, 879, 564, 322, 452, 19, 489, 434, -10, -43, -151, 312, 44, 545, 182, -640, -167, 523, 185, 106, 46, -40, -48, -514, 414, -147, -280, -517, -205, -138, 398, 156, 38, -390, 488, 770, -478, -731, -47, -412, 558, 273, 28, 890, -366, -500, -7, -122, -41, -220, -182, -260, -53, 4, -357, 114, 409, 339, 225, -523, -23, 214, 645, 581, 47, -155, 165, 1190, 359, 98, -246, -443, -313, 616, -96, 121, 442, 21, 334, 1020, -194, -216, -322, 517, 27, 288, -10, 426, -175, 680, 65, 5, -566, -889, -1726, 503, 256, 108, 86, -313, 17, -472, -320, -1484, -56, -548, -497, -338, -38, -425, -635, -969, 31, 270, -380, -969, -576, -185, 524, 45, -41, 341, -69, 444, 858, -143, -522, 241, -75, -274, 78, 130, 27, 392, 99, 1169, 240, 323, -302, 860, 459, 2, 895, -712, -295, -263, -18, 223, 556, -163, 245, 302, 62, 516, -631, -828, -12, 947, -183, -662, -1319, 922, 1057, 14, -132, -448, -356, -169, -2, -42, -300, 322, -161, 88, -54, -277, 257, -545, -265, 1159, 459, -1036, 762, 209, 1199, -7, 122, -463, -290, 302, 900, 247, 466, -148, 332, 344, -23, 279, 507, -804, -11, 438, 98, 522, -114, -122, 340, 18, 571, 247, -592, -214, 227, 86, -606, -933, -284, -59, -6, -776, -319, -288, -267, 802, 498, -1237, 404, -1536, -192, -121, 744, 109, -305, -1207, -212, -259, 218, -650, -301, 996], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 61, 9, 1, 15, 0]], "char_orbit_index": 40, "prim_orbit_index": 9, "minimal_twist": "671.2.bn.a", "char_is_minimal": true, "conrey_index": 12, "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}