# Stored data for newform 11.14.c.a, downloaded from the LMFDB on 24 April 2024.
{"label": "11.14.c.a", "space_label": "11.14.c", "level": 11, "weight": 14, "hecke_orbit": 1, "hecke_orbit_code": 137673834507, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "c", "char_is_real": false, "Nk2": 2156, "analytic_conductor": 11.795402184710397, "level_radical": 11, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [11, 5, [2], [4]], "inner_twist_count": 2, "level_primes": [11], "conrey_indexes": [3, 4, 5, 9], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "13.2.3.c5", "trace_display": [59, -864, -52240, 390696], "traces": [48, 59, -864, -44697, -52240, -130115, 390696, 876527, -3520244, -16293072, -82532, 62972038, -7063968, 2946296, 81100736, 60644511, -291410392, 126484674, 365166708, -788032074, -434553632, -733739679, 4188874272, 1308210897, -5079263484, -7197334352, -3672135540, 15293042118, 9462180848, 14934224730, 3808229976, -37924904892, -29220440404, -42631809486, 81447084648, 20776466352, -92150146992, -85759798456, 122431960136, 156222512604, 224837812784, -100995983242, -323982068136, -117395188832, 101655796640, 504337662372, -131674300816, -508856741764, -364186485732, 292932400779, -46205145276, 971895220146, -374673041144, -171438753484, -609291766368, -55316542488, 581441351340, -172510123284, -866818316348, 450475433796, 396717353376, 2190422590172, -814954660544, 687266758335, -1914281234704, 387191529606, -1385875174920, -1442260754434, 2415789828408, 6076465410072, 2500983206448, -6853058084009, -6144016960080, -9894533340936, 2088242191076, 7382638646262, 8181659595976, 485347989556, -9413148440424, -4271997351884, 19193312847832, 24451991571525, -4748400435188, -9210465158484, -9425037508176, -2302249550185, -22158779783712, -25622627417409, -12037611693640, 8065916202334, 23937874042464, 17043827782942, 18075650378312, 10662034186230, 17645734105464, 8702791487212, -18472776936684, -52286290693988, -51636755872396, -51024876680508, 65512938013800, 74446947060787, -42836160351168, 50900491371652, 67254433490568, 83507221871430, 16386557222616, -143391888588743, -61935260159808, -214762408807740, -43667907436048, 288368515998114, 41541478963964, -19296467233157, 105643697600952, 88549113760290, 130577215007824, -496128717687, -178807294263480, -608282181992628, -322184475476412, -252263742307188, 302666067027312, 357921694446546, 234906934096160, 678099250919170, 62035833433176, 362573556205183, -283666326323892, -342721185782514, -319484068657240, -965932971866612, -397694526874320, 297883625714322, 822668777824160, 714204941602893, 836881454477852, 269929625944006, 331733813413512, -1287291483801420, -571950686866328, -547662131910816, -1034726284264064, -2022128396191582, 498938951372328, 1804158982628252, 894010938559432, 2364971859432768, 21642631875648, 1346036149376416, -1482407731232304, -1299521765092862, -1274935021963936, -2207961762290148, -1650139837749744, 1918976244552442, 1806374116796472, 2069892731756124, 3046997604183344, 834927054251466, 757940285124912, -2949375190328994, -1844037786590256, -4152346119251054, -4269664290042504, -3532219420600650, 2850052826712672, 5518185031803904, 1707403351373604, 6191737556700736, 1305381782274580, 4863108831073608, -678275622163832, -5583134225715230, -5458035111403584, -10178315250141383, -4743790797001248, 7779708019746981, 3032065771548884, 2532953863281326, 4189934148380328, 3386958449239554, 5244668001411168, -2859171074121114, -4292938499934560, -9642428154132944, -7756292306117940, -5925657981326544, 7573568247251024, 10813543561294314, 417291955436304, 12840296609280241, 4858920247330560, 5356360253251024, -2456226386284592, -9774649172696901, -8982536373374304, -19376274680408642, -6560890601821920, 11936954774076357, 10729903172796436, 2550030743995926, 8811314268974808, 3587411705532431, 6040020724200528, -7388063247565788, -5448346406201880, -13612208396078148, -7259394525881608, -17407915315948960, 6499016706084108, 10730145162423956, 10276337616224696, 17984740449003729, -2394201425764920, 5204758403867787, -9896002099758336, -9156623512823142, -5312109785806040, -14107400918007186, -1116545247688256, 7712470332503366, 4445679158675136, 24383640791848146, 19638441837406900, -702574831003176, -1072756551264676, -12690070073430045, -2420560322777040, -12304374695508144, -7122300740058128, -10396549050109968, -10476159213764396, 11150459819295166, 4678688189899224, 11397132208799470, -4451106227655920, -2927719354306350, 931411102584712, 6861061255043436, 7546007880250824, 12663510226317399, -7561267821384624, -9136494578147604, -4261308522739816, -7736004781580861, -9478929769608312, -3731787462694314, -2073797737261076, -5768566678237812, 490698268300048, 24645220400430492, 6491630136315840, 23521239067106700, 5635261640715192, -10637549400459777, -7366289897244600, -36922745475377536, -470298044581104, -8787658184831308, 3489996976276208, 22725475995106758, -7251712386047200, 28478921218953469, 14783419268827200, -12289633281288872, -21438107538819684, -48555355797026853, -21500388050771784, 14178437304113754, 3728367851875080, 82097958488481549, 25370961383928400, 26201083027786794, 46396416917289908, 76793807038012272, -20213249557007976, -109950608038054054, -71655973541954832, -145152152954217972, -33959413031644932, -36218685263211430, 68371783506574032, 36130880135188212, 94613159217039760, 116220029425383282, 76191468872791328, -97963810475500969, -70194747377944956, -51946899992855308, -150924513381286488, 4164615556111863, -78257864006129720, 100445817673448446, 59696797558358448, 163683256401373500, 169410628935562580, 118914633921413664, -55684090781773512, -148144252392479412, -26526181042581552, -139523195855291270, -6776851799113584, -97379794945299045, 36223096188864072, 158050016842354441, 80110306873278456, 200432347522074378, 19567302662884832, -187346177795823078, -138114115525203904, -163848327972118394, -112241607353497512, -137537156705659032, -67488235016336144, -45394645349875086, 107434712260802960, 374591858182130972, 202402511185788144, 331076160442336292, -250553946423123672, -81195171354071172, 42986903086145664, -301628552544095432, -40439391039041688, -279169029051118783, 68138906891099208, 219861577468249065, 80978837102250000, 313141302346932820, -7275080273973960, -313223175033007515, -114101368479490440, -51197825750532876, -99107082513775064, -114142891091792306, -53639079044637780, 164007322183950197, 187437492044747540, 353184175499242464, 280136498007747784, 215304751493556188, -50290395436807080, -495678528904422952, -62153635823489080, -174774170956424718, -113593553736745312, -160554581841748400, 20296094833347264, -114057613349583720, 6116399119757472, 233110938468413343, 384801737382843768, -132445349842850639, -48843600148769400, 175513075739849414, -196915510204788528, -57959180929150968, 25670554859626336, 158096743222234666, 265104292972330248, -83443734850380328, 26336306114410236, -107710426439555904, 50883912122054784, -3564566857138908, -365156025172692672, -10155330668951620, 119975202112810976, -33066974313584232, 151535849729547256, -64642369546007846, -4796685645658464, -300925945911049521, -368952433740852384, 343212816783568692, -81418994364128304, -276421962964919732, -110472554736394332, 111113358981211566, 375665819826868936, 189221815059085230, -347917244858943512, -491642439595107130, -186360771956216112, 359784176434878436, 564677435892361720, 708414527280676026, 16032338332225920, 441664794304824648, 299487774786764064, 220520142313099067, -273357874179963492, -367161409059794148, -627840360599188240, -791739127401942647, -843110893233650832, 292132262629504314, 496095993785842952, 160402631661105369, 409025264727345116, 579053098403671839, 381454253543340408, -7499566664123196, -188674417933117528, -291899111146447596, -369509979866433656, -868482403234272200, 394362630168016176, 145217508440909754, 409630143969255228, 1067690577954440484, -481439050202939056, 179232901592070006, -680337041193515112, -768335361264719012, -882226214781116720, -1946204979246310299, -259738637220354632, 841681823619350988, 775431031175048136, 1676662666643883622, 1279986336553054080, 477628142431445796, 506925916110869148, -1178433013981766154, -20276955631092888, -1124948065620923890, -672607139058563944, -477146659388869548, 377524858153915352, 2170404595846841435, 471097681605847212, 2574691637065042082, 68866046836055312, 469815613286431818, -743314044957761784, -2168165169371422894, -1436851976458693440, -2230737501456793472, -2500489794527474776, 641158487256034428, 459538798288462616, 1107950414263935962, 958529023600983216, -189614326594182756, 1919175386347603208, -1845436796882569134, 83794490641953696, 391267780368044174, 231089795140382412, -138868902612409674, 1282086200893714792, 2298089131429910055, 1260914637636872464, 2379421227145116021, 149152514697542604, -1077559332750855102, -2105251426210652532, -2052947147498452500, -2262875094780078656, -4051507372106000162, -2345064832130549904, 1169034612977502486, 1933275201106303592, 112231987326462216, 1298712943038760416, 881641866556178710, 2136950311089528456, -6280800466156664, 787551131952904344, -139005864392578590, -631897380804978008, -1407266256359470984, 996922354737024864, 956909659026854442, -240267540617228888, 2155224778518977628, 517903114034251464, 1116641020801000630, -403281040764094920, -3287789973489595518, -1898936599368855776, -3241465372850514357, -99008091467851552, 1558391040151154251, 788731171665785856, 620457388001546220, -865377658105269460, 1258839002451547800, 1618125867886425200, 1248957573274458835, 165267345748670280, 376188188256841928, 398795488028022424, -1351158914034672408, 1332270592078513584, 1081624321579027099, -192666760050878952, 1193811160990715916, 1221768098125658072, -822438215239223022, 918239949700521424, -917633181912369926, -4464195144916577616, -2343678287097139936, -1588797127323897240, 1241662246862141562, -718829339458852872, -1106048499259104034, -1915920926106401400, -303411237268267553, 2005859102154006780, 1345317580081584636, 1941061707689381488, -660926556025023858, 2217094427521343400, 5534856414854424428, 584638274503247536, -2287092575735780100, -1582629017265881036, -506625765268575602, -549042391553033520, -2785670621985426435, 367702058113376088, -2012337803392054962, -2690534430317348368, 1093576609761339356, -2217939480935674800, -2060132032799049782, -1863537911857529972, -832725831942457050, -2968151130229864224, -74140339640106078, 2142434909243098944, 2316628575818151887, 6577370935150997012, 13627800327822378504, 6608945771484137804, 5972886202505394188, -1881898109192674896, -2901485107933154820, -958782555253118824, -3589181170195571262, -1388848571985485736, -9359375726920815958, -2918008704283744932, 870797712111165921, -1068588415984088256, 2836830311421047301, -3772449556725241584, -7837149670076391558, -4440157107089397024, -887560336077826588, -7051669117167438160, -3274466790064176708, 2091112471094005544, 5805167578983148328, 7927836375504665184, 10826546932446161240, 13233786703188377768, 14944150022043595902, -5263969202998240492, -7794548119049620544, -2193626067203844720, -3784111342443944334, -5001933163558471544, -11604164331365581818, 592527435935053404, -2780509249605921960, 1591552939918770960, 8131137137823245092, 3837077042842041216, -12891091786503271878, -5309542853526282088, -1673811116778683768, -8567427747107185776, -2441945192558758458, 2128854132138369992, 7417723679323746468, 12750433636748821016, 18405892348373248350, 11263640472992351592, 6905527442180217358, -5122368727968339456, -4419346493191999422, -467949429519845908, -6971049787778750659, -4781815528034482320, -19117708002727993506, -552292741912981192, 3188864725109154012, -1208253663476654520, 802517115067156941, 1401522235770016560, -9695781672473287608, -11873643502039460552, -1845494785139601312, -10464488404744554976, -2914278383601677217, 6618953164390496424, 7173223239326848200, 11641887131602390348, 16316008363041122040, 16600602327499943600, 21686032793186983160, 1659517779424020024, -7112942037123335525, -5741541572142193320, -3614480816203654134, 465264228636429368, -14257419725319856601, 240972982145144952, -5458964786728067913, -5632818501226530048, 10170488068610143362, -7370716073940481512, -9192580477557235750, -10881766473797458572, -11928800669054581912, -19518739225757946824, 2250178559424906648, 11687560686476345632, 18400180900371840798, 12374044565733187836, 19142482530264682274, 19378010008652939820, 14134057740895132500, 2996865025158372152, -7908096319966648842, -8449203624472635144, -16104092026966645670, -1469640160343900168, -22087398940552669848, -2482525110608169784, -7609623508922520664, -17762896938695325408, -15972807054761168612, -5345362816289258912, -1229538458829219702, 2776144787607187896, -9221199221130842923, -10478532129822510516, 13279103334001264680, 21204185853302050184, 17443095652326211128, 22422302043691749800, 22952038417004626116, 14903384634760283304, 8748229696318770556, 4934597400480598560, 194316907194031509, -7341404533792076816, 12077430066163209342, -4068158178371768520, 5563897850909992398, -6270165128421074860, -31049863864611611916, -25055632851016988728, -21791252040473797334, -6843647003703636912, -6743652965768330841, -5105640711599983888, 7983970719033216648, -10409849523065562960, 2873704915522423586, 15312293774188444944, -8103651162690559286, 19410623290809457432, 27788024415662730984, 12817716311391141096, 2198838779345707668, 8792388568031979720, 13550319039812865163, 4580214705903524820, 23475838577330279745, 10647613993618208680, -27369932381609361269, -8919202021514405760, -14008289124390575270, -38761620215588842080, -40345113067446396234, -30406644767257903712, 7106674724312220127, 1429397568130578936, 6762118262283513076, 5353187263417915584, -22741996601383199979, 22275113703357945120, -2289060588673101872, 11658615307298548152, 3349415998246071752, 16484856281830064616, 28002639284753988990, 3450234113821208120, 18263020839284024780, 19429289978538373404, 36404831926614013572, -5754119865876855320, -14089123567400497062, -19542438101506797496, -57723693698570063972, -29311424134369592688, -25553779667574031387, -42100355329307232528, 4508837975246143062, 31796565149123396096, 32391634218395021473, 13000535348570451936, 14710126352781081398, 35040598695478112104, -31253049146391155946, 23691128509545048024, 36773927263571476632, 9760404505096021440, -27927659822832022382, 11805264127433003776, 23515156537280994390, -3134861416320741320, 70014093124391673084, -5266383226038009960, -26906128695246188157, -35071154003533490268, -39188818488611349906, -43587934326244234080, -98024722085008386380, -49016646565103660304, 26795671384103883048, 16620705824612432272, 45362609241735196734, 780531639144771068, 10508713291676340372, 56202529003140727848, 1614071233008496968, 15460880054997221752, -35089637361836985636, -2426487548899162932, 17018019357161506938, 23063094871635483984, 70372636948068383456, 21968185507057165240, 70680010542334342290, 9656043176503435936, 618413155251013216, -44093566148306716488, -69671457670690616768, -91828662211290383784, -80205253117632400476, -75748370115667775792, 42963842010455511430, 12174376663390424928, 2952380494021645960, 31971514339477360192, 23175232694750136246, 73232191277850963736, 7069301107130509506, 13433864052470145552, 20942437484320867238, -12610129506465198960, 1890571931998626408, 29257277920613982192, 32408495007182258312, -4918153010287239408, 47127538130627395122, -13420356866380716336, -52196700024682127442, -25692165252357176832, -72408450453318861455, -90082050989486531760, -121073452075013114508, -53361287164610891608, 37419614373535387818, 22776983152072065616, 33371351154253872797, 6821818541039244576, 79608195646720399229, 71470100995053267648, 37499556481627961694, 28258446175748328740, -30537810091803924024, 25018211834890179672, 29456439489059602588, 79804442208297266176, 20901005674387671171, -9452169422589763944, 78808991844940783257, 10059264513577954656, 7378120903871997728, -7629931716196571944, -115650943302619125270, -95141492308778882112, -97903513715835651516, -53551632218521483488, 8379418919883220818, 1406724595212393552, -28735275431965558962, -19091097766670493096, -12538927385670185320, 64535977842468473064, 1106161212372393273, 35689854956697472216, 57257684691005571402, 24046773436430277328, 38310686974043185832, 49437426852883912368, 47740556576147287966, 7628433381238282424, 25523902118992927770, 7560643735789990768, -73131613335360415320, 492328897861077144, -20510829401483419776, -31322531951538018784, -86420350808286681654, -77659592455347299504, -25642193194723884525, 7090806165656244636, 7059226681374389068, -34602049872151054720, -39203015617340757960, 16933785880842149560, 29975651144064170821, 40654647380465270496, -3408347126132646764, 73799726664592152316, 53192123614797288576, 6244494404917098392, -16454518251387623846, 4950088381636583304, 31466308883021350110, 19400462777454651776, -6901087303163468202, -53465077173352395660, -72329947809777794580, 7850327753553152448, 40284455506633568263, -41242227285902782320, -2247136245254800731, -1775124294432688056, 20487088341291981636, -47909833496560834668, 23909030986197724550, 95267880279595028636, -28603367101763018016, 100403458227127902048, 146500051646482754988, 74837757571413760416, -4438763580727034232, -58735552099621679024, -27913760002994665461, 3321004409053887152, -60374283158248712742, -67860984641029854648, -131742792946712443368, -29122406660783075712, 39250782013607218029, -91298274311736102936, 705905425666118906, 14308348998342840840, -133790026355906758876, -22449351074522045544, -15634435293809616690, -32192167511813742264, -41762864662467955675, 1435150693644828336, 117384727713110342037, 104922075876431805940, 259035768143086511928, 154953321415309715288, 154574763899249334296, -71730699043876478784, -85531633970146196646, -63406767195368229004, -56668228092304157322, -40842707695093427912, -175845890493970984619, -7969686964772665368, 16379590051641073890, 35876465549855628672, 102096267158349902214, 60294229913994832952, -174532775808085415559, -137259176070391625808, 1491663387415903008, -102109879987752822592, -18802338598731628263, -19427369509758159544, -19064074733868326642, 93109774692690598176, 129885028481512415524, 188074735021276112824, 204508715206569411540, -73025477121154237248, -154319528399145365514, -52006860818848097616, -146351934473532638446, -27073649912371885760, -65809367487346939503, 66675310075234233776, 77991223125230256501, 25397137388049712848, 143390413502935194524, -18383704601528655168, -50577459977616068658, -137525481873747101992, -28780338369438649346, -122761640555650571376, -37262912944728811618, 16772666743116997288, 27487664242844744034, 100199866453337233992, 284108299352976408640, 111087288308415791784, 196056418919927190306, -22976259885129884544, -89683979707897049016, -67205255590653441696, -175540412391738357524, -45372487066698413616, -149425185237311160356, 32863110111442014764, 888246540432402474, -15280078898369140528, 170314898892550881660, 4741565242377019728, -229573722744395448820, -31021543728787674464, -95280630139930782342, -211538362275349155664, -58367942077324758804, -49195821549759046908, 357730196769602163922, 97104171754046465368, 259836844114699687020, 178407368080866637656, 131499786069820385712, -14232734140137834432, -144442932165324948858, -156518936475322544708, -193382437005014796072, 158315528454261152944, -74196215348007165528, 41826866904211567224, 113716554805452138554, 118312656453051148640, 98616846815433812559, 169836300765618328824, 8822417135988540794, 6311967878310237984, -161409948237171613981, -174970784488895959584, -2684636378562109956, -12242208293415252664, 73182672175775243580, 82020397796994329664, -342703999848439311444, 33159520857954627488, -13544176746286694532, -76917685912183296160, -205810370524587706122, -101382990865605345276, -181150579869440801774, -172551514464798853848, -41427475131249990219, 188471435494985946304, 106693977399279580836, 66049225521542268480, 64904337334257913327, -104092709195811381208, 45627692087765842338, -164317376180729818696, -128259075090597648063, -13129670299753310736, 141575309809017164156, 16709541961908260920, 60361888844543139204, 9589293924638463016, 413551425990656243724, 112432968234450607968, 388430527184165267548, 14674537502242265856, -20255605734276758346, 143945959399790277832, -43378645928864253382, -43282208961711053496, -178179148937544165494, 18090161469172477952, -47977163846259892758, -135027582511395787344, 92337917376792350938, 21097570803028646736, -161372138318523012466, -123480788322616923692, -174634714348599873972, 3701499907386125272, -6561070736212960896, -19753971505087902240, 19083157345209317062, -97072846870778751664, 249671166009680416584], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": true, "level_is_prime_power": true, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "11.14.c.a", "char_is_minimal": true, "conrey_index": 3, "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}