History of Special $L$-value of elliptic curves over $\mathbb{Q}$ of rank $1$

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when	who	what
2026-08-14 18:26	bmatschke	how well the digits are known: proven (converted: generators/T69-lvalue-rank-1 uses deriv_at1, which returns a proven error bound)	current
2026-08-14 18:21	bmatschke	how well the digits are known: assumed-bound (widened by a hand-chosen 4 ulps, and computed twice at p and 2p with the two written forms asserted equal)
2026-08-14 17:25	bmatschke	recomputed with deriv_at1, which returns a proven error bound; the digits are no longer widened by a hand-chosen four ulps, and 82 entries regain the hundredth digit that widening cost	reviewed
2026-08-13 22:06	bmatschke	how well the digits are known: assumed-bound (interval widened by a hand-chosen 4 ulps (blur_real_interval))
2026-08-09 09:14	flattening	entries rewritten as records with named parameters
2026-08-09 08:35	data-repository import	the current state of the data repository
2021-05-08 13:33	bmatschke	from the data repository, 6c0a557d

What changed between 2026-08-13 22:06 and 2026-08-14 17:25

from line 56 (5 lines) @@ -56,5 +56,5 @@

   sources:   - CITE{LMFDB}-  rigour: assumed-bound+  rigour: proven   rigour details: The computed interval was widened by four units in the last place     (blur_real_interval). That bound was asserted rather than derived, and the justification

from line 67 (189 lines, 37 fewer than before) @@ -67,226 +67,189 @@

     - c6 Numbers:-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/37a1}[Curve in LMFDB]-  params:+- params:     N: '37'     c4: '48'     c6: '-216'-  number: '0.305999773834052301820483683321676474452637774590771998534541832481016050469290169911495257337795897'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/43a1}[Curve in LMFDB]-  params:+  number: '0.3059997738340523018204836833216764744526377745907719985345418324810160504692901699114952573377958972'+- params:     N: '43'     c4: '16'     c6: '-280'-  number: '0.343523974618478230618071163921737442803975861250987002041546440448516298606709071839018983264185067'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/53a1}[Curve in LMFDB]-  params:+  number: '0.3435239746184782306180711639217374428039758612509870020415464404485162986067090718390189832641850675'+- params:     N: '53'     c4: '-15'     c6: '-297'-  number: '0.435863824177857162053863132073440756333621247934221721593049770580844870524969474800510959382818717'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/57a1}[Curve in LMFDB]-  params:+  number: '0.4358638241778571620538631320734407563336212479342217215930497705808448705249694748005109593828187179'+- params:     N: '57'     c4: '112'     c6: '-1304'-  number: '0.417491639676309640389320491599203894423517183460572744714400104969112917491462032541427592113187868'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/58a1}[Curve in LMFDB]-  params:+  number: '0.4174916396763096403893204915992038944235171834605727447144001049691129174914620325414275921131878689'+- params:     N: '58'     c4: '57'     c6: '-621'-  number: '0.463704164788250578440596347850035730645113715304523678446031660893301694763399536961824842783807187'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/61a1}[Curve in LMFDB]-  params:+  number: '0.4637041647882505784405963478500357306451137153045236784460316608933016947633995369618248427838071876'+- params:     N: '61'     c4: '97'     c6: '-1009'-  number: '0.485673651426582625110171359600737852306428717956200914090557450186596599646008929871005030886316886'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a1}[Curve in LMFDB]-  params:+  number: '0.4856736514265826251101713596007378523064287179562009140905574501865965996460089298710050308863168869'+- params:     N: '65'     c4: '49'     c6: '-73'-  number: '0.505334342306859777459534424609576178245529413130425350445312261452231169667708486625328084779941162'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/77a1}[Curve in LMFDB]-  params:+  number: '0.5053343423068597774595344246095761782455294131304253504453122614522311696677084866253280847799411621'+- params:     N: '77'     c4: '-96'     c6: '-216'-  number: '0.627336201930507811010236787665534909937403389217163838634683112187956966145598125305499795773661557'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/79a1}[Curve in LMFDB]-  params:+  number: '0.6273362019305078110102367876655349099374033892171638386346831121879569661455981253054997957736615579'+- params:     N: '79'     c4: '97'     c6: '-881'-  number: '0.581180215948967540631586683540618564883637138788873245558884207073264908443937969997556249594508328'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a2}[Curve in LMFDB]-  params:+  number: '0.5811802159489675406315866835406185648836371387888732455588842070732649084439379699975562495945083288'+- params:     N: '82'     c4: '553'     c6: '12779'-  number: '0.583001559470606831855321298541767449719776493267534593439700188379093114332036637169516222186525945'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/83a1}[Curve in LMFDB]-  params:+  number: '0.5830015594706068318553212985417674497197764932675345934397001883790931143320366371695162221865259453'+- params:     N: '83'     c4: '-47'     c6: '199'-  number: '0.598267332716596305740485419680744992309061645655701172538118368508751927719890598931975006336036700'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/88a1}[Curve in LMFDB]-  params:+  number: '0.5982673327165963057404854196807449923090616456557011725381183685087519277198905989319750063360367005'+- params:     N: '88'     c4: '192'     c6: '-3456'-  number: '0.684901593904122069302274066638174953255331860760342181605316905550060927817012969857888346321172227'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/89a1}[Curve in LMFDB]-  params:+  number: '0.6849015939041220693022740666381749532553318607603421816053169055500609278170129698578883463211722273'+- params:     N: '89'     c4: '49'     c6: '-521'-  number: '0.622476541536974615979281400676119216638372181435973912725954190299827733841500613212867654148205583'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91a1}[Curve in LMFDB]-  params:+  number: '0.6224765415369746159792814006761192166383721814359739127259541902998277338415006132128676541482055833'+- params:     N: '91'     c4: '-48'     c6: '-216'-  number: '0.554939366544175557860944688296620167559285499084922167459345385253955411846472909645110867028969825'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b3}[Curve in LMFDB]-  params:+  number: '0.5549393665441755578609446882966201675592854990849221674593453852539554118464729096451108670289698258'+- params:     N: '91'     c4: '5632'     c6: '1041704'-  number: '0.710811303825633708343154201548434201604519454297174935613692885284605925426075998745290168520271073'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/92b1}[Curve in LMFDB]-  params:+  number: '0.7108113038256337083431542015484342016045194542971749356136928852846059254260759987452901685202710739'+- params:     N: '92'     c4: '48'     c6: '-864'-  number: '0.703357491984634765143332710259551160040860358349486732064250669806231032604884429411567732730416730'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a2}[Curve in LMFDB]-  params:+  number: '0.7033574919846347651433327102595511600408603583494867320642506698062310326048844294115677327304167303'+- params:     N: '99'     c4: '801'     c6: '-22545'-  number: '0.680551559139834143328719414006755067657977698310092878494737502777826253338684459751686029277767214'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/101a1}[Curve in LMFDB]-  params:+  number: '0.6805515591398341433287194140067550676579776983100928784947375027778262533386844597516860292777672147'+- params:     N: '101'     c4: '64'     c6: '296'-  number: '0.756029565684432962798677242093882640899592403609856643561644679218195874986571317567828197282562942'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a1}[Curve in LMFDB]-  params:+  number: '0.7560295656844329627986772420938826408995924036098566435616446792181958749865713175678281972825629427'+- params:     N: '102'     c4: '121'     c6: '-845'-  number: '0.677284898016669010201237346153559931507175341245850195414457615066189051306623936833213924787393948'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/106b1}[Curve in LMFDB]-  params:+  number: '0.6772848980166690102012373461535599315071753412458501954144576150661890513066239368332139247873939488'+- params:     N: '106'     c4: '361'     c6: '-6965'-  number: '0.690902275065704062587249219360955512233548181380126202331026144154021690284427688502924734291828997'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a2}[Curve in LMFDB]-  params:+  number: '0.6909022750657040625872492193609555122335481813801262023310261441540216902844276885029247342918289979'+- params:     N: '112'     c4: '1936'     c6: '-84160'-  number: '0.809300728597716028164805103076365953744857683296992245421155451848685248971142263432171529394645774'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a4}[Curve in LMFDB]-  params:+  number: '0.8093007285977160281648051030763659537448576832969922454211554518486852489711422634321715293946457740'+- params:     N: '117'     c4: '30033'     c6: '-5204601'-  number: '0.746113388746476254537370834659243924098089829826726932115197396597633064873173079873414680566379414'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/118a1}[Curve in LMFDB]-  params:+  number: '0.7461133887464762545373708346592439240980898298267269321151973965976330648731730798734146805663794145'+- params:     N: '118'     c4: '-23'     c6: '-629'-  number: '0.731108308002212851041576050440805081727801790548208413347819413208918175381553208082179248021600348'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b2}[Curve in LMFDB]-  params:+  number: '0.7311083080022128510415760504408050817278017905482084133478194132089181753815532080821792480216003487'+- params:     N: '121'     c4: '42592'     c6: '9018856'-  number: '0.862372296690397239959551621795300772611528482351310935126873869273948216669189141990236161514797533'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/122a1}[Curve in LMFDB]-  params:+  number: '0.8623722966903972399595516217953007726115284823513109351268738692739482166691891419902361615147975334'+- params:     N: '122'     c4: '-119'     c6: '-37'-  number: '0.716865946717756653879907749457359333239003134280973569537963386714037645654988463219736686267138440'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a1}[Curve in LMFDB]-  params:+  number: '0.7168659467177566538799077494573593332390031342809735695379633867140376456549884632197366862671384403'+- params:     N: '123'     c4: '496'     c6: '-11800'-  number: '0.671590513750537634837896650359748219029769823583454233065166550809259453238960091130822990279438775'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123b1}[Curve in LMFDB]-  params:+  number: '0.6715905137505376348378966503597482190297698235834542330651665508092594532389600911308229902794387751'+- params:     N: '123'     c4: '-32'     c6: '424'-  number: '0.872071055995175803726839114291258261625407758484221381059857507650403830017366799574636132729122908'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a1}[Curve in LMFDB]-  params:+  number: '0.8720710559951758037268391142912582616254077584842213810598575076504038300173667995746361327291229082'+- params:     N: '124'     c4: '112'     c6: '-1504'-  number: '0.855982749320610487826131033285058929497385503067369479063671101016539508953733154358721517602357120'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a2}[Curve in LMFDB]-  params:+  number: '0.8559827493206104878261310332850589294973855030673694790636711010165395089537331543587215176023571206'+- params:     N: '128'     c4: '448'     c6: '-8704'-  number: '0.872544083795989939703195785147315996448278848583187478091747172489763638411023938102822676706685014'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/129a1}[Curve in LMFDB]-  params:+  number: '0.8725440837959899397031957851473159964482788485831874780917471724897636384110239381028226767066850146'+- params:     N: '129'     c4: '928'     c6: '-28376'-  number: '0.894195509285556437072121896472768277279588256239659010625082514115576148422738346074930330560833016'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a3}[Curve in LMFDB]-  params:+  number: '0.8941955092855564370721218964727682772795882562396590106250825141155761484227383460749303305608330169'+- params:     N: '130'     c4: '9961'     c6: '954251'-  number: '0.738217398792044440661760033161148040684261768014384286795399526930026433018420201950777318897738856'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/131a1}[Curve in LMFDB]-  params:+  number: '0.7382173987920444406617600331611480406842617680143842867953995269300264330184202019507773188977388568'+- params:     N: '131'     c4: '-32'     c6: '-440'-  number: '0.901464735335761897106926586284752468409330544100055287028247778246346010205605266197553794364428386'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/135a1}[Curve in LMFDB]-  params:+  number: '0.9014647353357618971069265862847524684093305441000552870282477782463460102056052661975537943644283863'+- params:     N: '135'     c4: '144'     c6: '-3672'-  number: '0.670348696772766113023397350373015692406123103699631943716176536575171236126706857414585064975280624'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a1}[Curve in LMFDB]-  params:+  number: '0.6703486967727661130233973503730156924061231036996319437161765365751712361267068574145850649752806249'+- params:     N: '136'     c4: '208'     c6: '-1216'-  number: '0.899895987535356998623345402356800869529127513248293111997670550224381720483923924072737337370300682'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a2}[Curve in LMFDB]-  params:+  number: '0.8998959875353569986233454023568008695291275132482931119976705502243817204839239240727373373703006830'+- params:     N: '138'     c4: '1513'     c6: '-58805'-  number: '0.790771297131439855134936402105514803986128986057962567179519589111839544914847833314199377436128139'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141a1}[Curve in LMFDB]-  params:+  number: '0.7907712971314398551349364021055148039861289860579625671795195891118395449148478333141993774361281391'+- params:     N: '141'     c4: '592'     c6: '-5464'-  number: '0.718550172498336870429000802664745137364932274525037338729232649087766700161951377701273973015814815'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141d1}[Curve in LMFDB]-  params:+  number: '0.7185501724983368704290008026647451373649322745250373387292326490877667001619513777012739730158148155'+- params:     N: '141'     c4: '64'     c6: '136'-  number: '0.938788785330011905069462532089981505795122048102469641204593734717748848158705822095022079414711210'+  number: '0.9387887853300119050694625320899815057951220481024696412045937347177488481587058220950220794147112103' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142a1}[Curve in LMFDB]   params:

from line 258 (34 lines, 6 fewer than before) @@ -295,40 +258,34 @@

     c6: '-10665'   number: '1.053511453718265025773999027869183273599612782976289062002539789363178976775431266357751938381959829'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142b1}[Curve in LMFDB]-  params:+- params:     N: '142'     c4: '73'     c6: '379'-  number: '0.801533452141246903660445292772883403819497004248356416483785146028104928421829926840651962744092273'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/143a1}[Curve in LMFDB]-  params:+  number: '0.8015334521412469036604452927728834038194970042483564164837851460281049284218299268406519627440922731'+- params:     N: '143'     c4: '64'     c6: '1864'-  number: '0.945696411200262632997018273507466386804515613137602842557922498838151456245314692255609075303844417'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a1}[Curve in LMFDB]-  params:+  number: '0.9456964112002626329970182735074663868045156131376028425579224988381514562453146922556090753038444178'+- params:     N: '145'     c4: '129'     c6: '-1377'-  number: '0.831621707461695414057395024569042387237764514664465134694610735559577076232997614849003774443520890'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/148a1}[Curve in LMFDB]-  params:+  number: '0.8316217074616954140573950245690423872377645146644651346946107355595770762329976148490037744435208910'+- params:     N: '148'     c4: '256'     c6: '640'-  number: '0.977327490009114692637212732934206791972659587124438010148960748180142323446125399985567583037082340'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/152a1}[Curve in LMFDB]-  params:+  number: '0.9773274900091146926372127329342067919726595871244380101489607481801423234461253999855675830370823402'+- params:     N: '152'     c4: '64'     c6: '-2944'-  number: '0.953918065847672006834716805268707780225582336195168524061620903736825076492990617876963114927158852'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153a1}[Curve in LMFDB]-  params:+  number: '0.9539180658476720068347168052687077802255823361951685240616209037368250764929906178769631149271588524'+- params:     N: '153'     c4: '144'     c6: '-1944'-  number: '0.706841736725796850495947033687074534968620691337125867921686149370110162116852578593005290109375280'+  number: '0.7068417367257968504959470336870745349686206913371258679216861493701101621168525785930052901093752804' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153b2}[Curve in LMFDB]   params:

from line 294 (19 lines, 3 fewer than before) @@ -337,22 +294,19 @@

     c6: '-4105944'   number: '1.018155960661390526299838671219191751443156598315057139203723991809007188659837842461607180673904940'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/154a2}[Curve in LMFDB]-  params:+- params:     N: '154'     c4: '22521'     c6: '-3379725'-  number: '0.871692225356600906704890079136689863276790470081894487690366747987321522322130655491400311432255476'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155a2}[Curve in LMFDB]-  params:+  number: '0.8716922253566009067048900791366898632767904700818944876903667479873215223221306554914003114322554761'+- params:     N: '155'     c4: '40336'     c6: '8116264'-  number: '0.671552888784560119152524161072842273743219982418647152808284369735446754126462053439638614782745142'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155c1}[Curve in LMFDB]-  params:+  number: '0.6715528887845601191525241610728422737432199824186471528082843697354467541264620534396386147827451430'+- params:     N: '155'     c4: '64'     c6: '-728'-  number: '0.984317215669147664736161967786166928093439409056376618520124046632179829729097665580686911081320444'+  number: '0.9843172156691476647361619677861669280934394090563766185201240466321798297290976655806869110813204444' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a2}[Curve in LMFDB]   params:

from line 321 (19 lines, 3 fewer than before) @@ -367,22 +321,19 @@

     c6: '-6129'   number: '1.117214632242009084924318026276518178257142333261234737352637837884065785016685545395334833685359383'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158b1}[Curve in LMFDB]-  params:+- params:     N: '158'     c4: '169'     c6: '-2069'-  number: '0.845139943228373888886053779352362170221406352632276167127491895609314521573951211269021592567152095'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/160a1}[Curve in LMFDB]-  params:+  number: '0.8451399432283738888860537793523621702214063526322761671274918956093145215739512112690215925671520951'+- params:     N: '160'     c4: '304'     c6: '-5248'-  number: '0.977744081045803467789326650628817630854575858677113569602602963617403608362976988476350473904828108'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/162a1}[Curve in LMFDB]-  params:+  number: '0.9777440810458034677893266506288176308545758586771135696026029636174036083629769884763504739048281083'+- params:     N: '162'     c4: '297'     c6: '-5589'-  number: '0.896479514136384491396733036641260892557174489644120316031504891230968354635155750733953757847379897'+  number: '0.8964795141363844913967330366412608925571744896441203160315048912309683546351557507339537578473798976' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/163a1}[Curve in LMFDB]   params:

from line 342 (14 lines, 2 fewer than before) @@ -391,16 +342,14 @@

     c6: '-1080'   number: '1.047933021824714496945996574669320362667288620111396168077534241641103774651542848600278479371729176'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/166a1}[Curve in LMFDB]-  params:+- params:     N: '166'     c4: '313'     c6: '-5741'-  number: '0.860017015450079830507096062088336661932551973737596218724296361747551447289586659288623783454447279'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/170a1}[Curve in LMFDB]-  params:+  number: '0.8600170154500798305070960620883366619325519737375962187242963617475514472895866592886237834544472796'+- params:     N: '170'     c4: '361'     c6: '-5941'-  number: '0.828934148239303368432070120680146654393327273404491600341634870578773215865777475357604127733238336'+  number: '0.8289341482393033684320701206801466543933272734044916003416348705787732158657774753576041277332383362' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/171b3}[Curve in LMFDB]   params:

from line 364 (9 lines, 1 fewer than before) @@ -415,10 +364,9 @@

     c6: '-16768'   number: '1.015958921455393957921018563778726523944618674838573001537028437250506731379522327279773515387226077'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/175a2}[Curve in LMFDB]-  params:+- params:     N: '175'     c4: '7120'     c6: '-603800'-  number: '0.697734031505228147186761636297941335962514790198838494268787109282101760900660902099476124269915277'+  number: '0.6977340315052281471867616362979413359625147901988384942687871092821017609006609020994761242699152770' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/175b3}[Curve in LMFDB]   params:

from line 393 (9 lines, 1 fewer than before) @@ -445,10 +393,9 @@

     c6: '-3104'   number: '1.097526344298353361909837734113853208420637455352795838613768730643642657805326220982978129870507264'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185a1}[Curve in LMFDB]-  params:+- params:     N: '185'     c4: '7504'     c6: '-650008'-  number: '0.819629817630165013743274950605454715006963239454397369565886130270588660982912675398774244378112237'+  number: '0.8196298176301650137432749506054547150069632394543973695658861302705886609829126753987742443781122372' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185b1}[Curve in LMFDB]   params:

from line 410 (9 lines, 1 fewer than before) @@ -463,10 +410,9 @@

     c6: '2123'   number: '1.244794863851806772439742411245851790047197081625231459975869782342396977123047490932733562656637930'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/189a1}[Curve in LMFDB]-  params:+- params:     N: '189'     c4: '144'     c6: '-216'-  number: '0.768994397553302453646544377438054715436126324917010893566149086757235112744061859148842126554310715'+  number: '0.7689943975533024536465443774380547154361263249170108935661490867572351127440618591488421265543107154' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/189b3}[Curve in LMFDB]   params:

from line 427 (9 lines, 1 fewer than before) @@ -481,10 +427,9 @@

     c6: '-116937'   number: '1.234234240407772797530518149700262887123968758316849626590127562132595917599159962174222620055963287'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/190b1}[Curve in LMFDB]-  params:+- params:     N: '190'     c4: '-71'     c6: '-1133'-  number: '0.916206563793677510903899235744395828772394805165557273740592081332818452725352454911145170319230856'+  number: '0.9162065637936775109038992357443958287723948051655572737405920813328184527253524549111451703192308565' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/192a3}[Curve in LMFDB]   params:

from line 444 (14 lines, 2 fewer than before) @@ -499,16 +444,14 @@

     c6: '-564704'   number: '1.125580776767728173595276916109812059635270171907314323779361457920941397500788041232722120305426014'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/197a1}[Curve in LMFDB]-  params:+- params:     N: '197'     c4: '240'     c6: '-3672'-  number: '0.787320470025210535052443725943968582712903886196842076182406066583366041389808510414857997147224506'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a3}[Curve in LMFDB]-  params:+  number: '0.7873204700252105350524437259439685827129038861968420761824060665833660413898085104148579971472245070'+- params:     N: '198'     c4: '152073'     c6: '-59303205'-  number: '0.988275788363062966340865351991728884214323026376803571399782078505204600929448036117450646709423064'+  number: '0.9882757883630629663408653519917288842143230263768035713997820785052046009294480361174506467094230642' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/200b2}[Curve in LMFDB]   params:

from line 460 (9 lines, 1 fewer than before) @@ -517,10 +460,9 @@

     c6: '-49600'   number: '1.088433130107012824353100563808759753825076270011643502947136030305974305357329953096545634714665891'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/201a1}[Curve in LMFDB]-  params:+- params:     N: '201'     c4: '-80'     c6: '-728'-  number: '0.731119956776370880866660866068908124958458492587443274346539450494408999901806284640179883625041364'+  number: '0.7311199567763708808666608660689081249584584925874432743465394504944089999018062846401798836250413640' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/201b1}[Curve in LMFDB]   params:

from line 477 (19 lines, 3 fewer than before) @@ -535,22 +477,19 @@

     c6: '-7447661'   number: '1.351412037631668761567532767934601669154306142963328047531659583653066270949914020544654473539663288'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/203b1}[Curve in LMFDB]-  params:+- params:     N: '203'     c4: '1'     c6: '1567'-  number: '0.913096831139312017636075818870006097938008332203397327399805651798650126730868664586457727270927271'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/205a3}[Curve in LMFDB]-  params:+  number: '0.9130968311393120176360758188700060979380083322033973273998056517986501267308686645864577272709272720'+- params:     N: '205'     c4: '11121'     c6: '1160919'-  number: '0.981239696408411083004574898699529762148021058187143218317884945826590705249291770647541190908957807'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/207a2}[Curve in LMFDB]-  params:+  number: '0.9812396964084110830045748986995297621480210581871432183178849458265907052492917706475411909089578073'+- params:     N: '207'     c4: '6705'     c6: '-547209'-  number: '0.978557120304540366731048574435234938134814416145754282252743017903326063068938919357871260388362479'+  number: '0.9785571203045403667310485744352349381348144161457542822527430179033260630689389193578712603883624791' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/208a3}[Curve in LMFDB]   params:

from line 510 (9 lines, 1 fewer than before) @@ -571,10 +510,9 @@

     c6: '-55576'   number: '1.252324140817957988164814691554682447418289203177989407394710065242033314738705224019300196331875111'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/210d3}[Curve in LMFDB]-  params:+- params:     N: '210'     c4: '17929'     c6: '-2400677'-  number: '0.954663006710164436590637545110097170265587755805572140917236685596009689048975497248817533087589349'+  number: '0.9546630067101644365906375451100971702655877558055721409172366855960096890489754972488175330875893497' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/212a1}[Curve in LMFDB]   params:

from line 527 (9 lines, 1 fewer than before) @@ -589,10 +527,9 @@

     c6: '-14689'   number: '1.365765258319572044154381740542740554170020071623883491411992944528771858315555676713673408575946327'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/214b1}[Curve in LMFDB]-  params:+- params:     N: '214'     c4: '-71'     c6: '-109'-  number: '0.894558551875722632709217368389700793637667699151368025102075275225027766637244941452395766463910762'+  number: '0.8945585518757226327092173683897007936376676991513680251020752752250277666372449414523957664639107627' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/214c1}[Curve in LMFDB]   params:

from line 556 (9 lines, 1 fewer than before) @@ -619,10 +556,9 @@

     c6: '-3601'   number: '1.377639176413663480592063657326301695601873357732055916197014290776327557320129391854413902943948704'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219a1}[Curve in LMFDB]-  params:+- params:     N: '219'     c4: '304'     c6: '-5336'-  number: '0.744571295186826023971570690815068960056613285772785011490298775043160957413699373023112532633782979'+  number: '0.7445712951868260239715706908150689600566132857727850114902987750431609574136993730231125326337829792' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219b2}[Curve in LMFDB]   params:

from line 591 (9 lines, 1 fewer than before) @@ -655,10 +591,9 @@

     c6: '29160'   number: '1.245398675052923627915196198633241139163521648567317484101257316711783078242755363827661630657637750'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225e1}[Curve in LMFDB]-  params:+- params:     N: '225'     c4: '3600'     c6: '-221400'-  number: '0.827812388531882550795598809163734672850641583588029449553081310862046757094308123821042286134643048'+  number: '0.8278123885318825507955988091637346728506415835880294495530813108620467570943081238210422861346430480' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/226a2}[Curve in LMFDB]   params:

from line 626 (9 lines, 1 fewer than before) @@ -691,10 +626,9 @@

     c6: '-166941'   number: '1.063655309114013405705322430880286172362689334885686445038510463288933686949621951523654578546872659'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/235a1}[Curve in LMFDB]-  params:+- params:     N: '235'     c4: '241'     c6: '-1961'-  number: '0.964662201637229708539731417102507885907285330842471963773558100801231179595801325570537164537310862'+  number: '0.9646622016372297085397314171025078859072853308424719637735581008012311795958013255705371645373108630' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/236a1}[Curve in LMFDB]   params:

from line 673 (9 lines, 1 fewer than before) @@ -739,10 +673,9 @@

     c6: '-5184'   number: '1.321044411045450671238967274772031276662054066613156518227487449971614054655123401429793261508178287'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245a1}[Curve in LMFDB]-  params:+- params:     N: '245'     c4: '336'     c6: '-10584'-  number: '0.633345008633810267304318380915079505276877225345586146970109323996001880309941104004519032275380069'+  number: '0.6333450086338102673043183809150795052768772253455861469701093239960018803099411040045190322753800696' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c3}[Curve in LMFDB]   params:

from line 702 (9 lines, 1 fewer than before) @@ -769,10 +702,9 @@

     c6: '864'   number: '1.330650659048176069865553563837548275274206391034696621660019229809912165618428202599228612758526060'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/249a1}[Curve in LMFDB]-  params:+- params:     N: '249'     c4: '2641'     c6: '-135737'-  number: '0.983759620317422532699907437867063314080849780847391383733690682406290724407157976328530097942010472'+  number: '0.9837596203174225326999074378670633140808497808473913837336906824062907244071579763285300979420104724' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/249b1}[Curve in LMFDB]   params:

from line 791 (9 lines, 1 fewer than before) @@ -859,10 +791,9 @@

     c6: '-18380736'   number: '1.397785380624043917596105196408270478223843438932064656081638778065615195632449090613006573492613563'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/273a1}[Curve in LMFDB]-  params:+- params:     N: '273'     c4: '1264'     c6: '-51416'-  number: '0.793702942556718005323817689585881101283259135841012826711561541225274069269696245756684256400269583'+  number: '0.7937029425567180053238176895858811012832591358410128267115615412252740692696962457566842564002695833' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/274a1}[Curve in LMFDB]   params:

from line 922 (9 lines, 1 fewer than before) @@ -991,10 +922,9 @@

     c6: '-63872'   number: '1.378225363679609273681514055094326124990238825409231686953387371860984986214810413444114613900603941'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/297a1}[Curve in LMFDB]-  params:+- params:     N: '297'     c4: '3888'     c6: '-250776'-  number: '0.890254666171004774919814561564006396407301777837829038773386551236618803588315476471928108388314179'+  number: '0.8902546661710047749198145615640063964073017778378290387733865512366188035883154764719281083883141794' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/297b1}[Curve in LMFDB]   params:

from line 1137 (9 lines, 1 fewer than before) @@ -1207,10 +1137,9 @@

     c6: '-21333581'   number: '1.156280032898569773751946792548735012080934878179993677987557722126258732637533872715542129693941199'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/331a1}[Curve in LMFDB]-  params:+- params:     N: '331'     c4: '241'     c6: '-3817'-  number: '0.979009810765906082856815404445525668398361291630906941748037391051272296847827117857712450422667179'+  number: '0.9790098107659060828568154044455256683983612916309069417480373910512722968478271178577124504226671796' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/333a3}[Curve in LMFDB]   params:

from line 1184 (9 lines, 1 fewer than before) @@ -1255,10 +1184,9 @@

     c6: '-1953809'   number: '1.794080791928512249402916080123430422608473181917735586986180383623389700040097990381438846396857001'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/338f2}[Curve in LMFDB]-  params:+- params:     N: '338'     c4: '1725321'     c6: '2486474523'-  number: '0.953056243047776750253458148265951258880716863366308464610581492472835790035542049584868105801652301'+  number: '0.9530562430477767502534581482659512588807168633663084646105814924728357900355420495848681058016523012' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/339a1}[Curve in LMFDB]   params:

from line 1615 (9 lines, 1 fewer than before) @@ -1687,10 +1615,9 @@

     c6: '-30472929'   number: '1.268841843718766233667969047244492932158906684714542374987797698628826835373176226290131291887540219'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/405f1}[Curve in LMFDB]-  params:+- params:     N: '405'     c4: '144'     c6: '1512'-  number: '0.996585000729666701169026138329555263895309207607911439483108997385257673698399613062467106536721212'+  number: '0.9965850007296667011690261383295552638953092076079114394831089973852576736983996130624671065367212123' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/406a2}[Curve in LMFDB]   params:

from line 1704 (9 lines, 1 fewer than before) @@ -1777,10 +1704,9 @@

     c6: '-1213272'   number: '1.046538133600867835624657847740198297023244716003197095770143879478823616837428981167952677187997507'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/423g1}[Curve in LMFDB]-  params:+- params:     N: '423'     c4: '432'     c6: '-8856'-  number: '0.962091500211944847638505129002682232541270424745073097145460768353352498747185952211629588999213725'+  number: '0.9620915002119448476385051290026822325412704247450730971454607683533524987471859522116295889992137257' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/425a3}[Curve in LMFDB]   params:

from line 1889 (9 lines, 1 fewer than before) @@ -1963,10 +1889,9 @@

     c6: '698381271'   number: '1.294558618059896280043565913314068422809357978174992422343666107462436092206667032772737862600118743'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441f2}[Curve in LMFDB]-  params:+- params:     N: '441'     c4: '394128'     c6: '247630824'-  number: '0.994497295964896555014698186573557813573663244980207142039168677473929539935267962495081343813574261'+  number: '0.9944972959648965550146981865735578135736632449802071420391686774739295399352679624950813438135742612' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/442b2}[Curve in LMFDB]   params:

from line 2008 (9 lines, 1 fewer than before) @@ -2083,10 +2008,9 @@

     c6: '891'   number: '2.130493741339377422197864064091473147080604577813660586468103708508554531801557718021067104863421144'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/459b1}[Curve in LMFDB]-  params:+- params:     N: '459'     c4: '-144'     c6: '3240'-  number: '0.952560824737899038560840613662630693819623474353264333318428991154533196221882261609620010644635385'+  number: '0.9525608247378990385608406136626306938196234743532643333184289911545331962218822616096200106446353852' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/459h1}[Curve in LMFDB]   params:

from line 2091 (9 lines, 1 fewer than before) @@ -2167,10 +2091,9 @@

     c6: '231659'   number: '2.266746565369899479971475928018272928854673293914352863085880990134744872771752839012286922323070080'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/469b1}[Curve in LMFDB]-  params:+- params:     N: '469'     c4: '561'     c6: '-13257'-  number: '0.909689128264265400147780224903078142951608668619789873236615040038865662120607565176089942278689467'+  number: '0.9096891282642654001477802249030781429516086686197898732366150400388656621206075651760899422786894678' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/470a1}[Curve in LMFDB]   params:

from line 2258 (9 lines, 1 fewer than before) @@ -2335,10 +2258,9 @@

     c6: '-597376'   number: '1.934823224873785264756880639291436581699093971374657306127481055516430377472160142063404808402623461'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/493b1}[Curve in LMFDB]-  params:+- params:     N: '493'     c4: '2721'     c6: '-179793'-  number: '0.909247273337841139378852849089693157577814136199058723131823927077097157253104349543454704476939416'+  number: '0.9092472733378411393788528490896931575778141361990587231318239270770971572531043495434547044769394169' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/494a1}[Curve in LMFDB]   params:

from line 2641 (9 lines, 1 fewer than before) @@ -2719,10 +2641,9 @@

     c6: '52754696'   number: '2.602545338454825179642583434145891390690721469011812383648454285594347471557815106852995127214092824'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/551d1}[Curve in LMFDB]-  params:+- params:     N: '551'     c4: '5584'     c6: '-417304'-  number: '0.788387727785609850341208844438437603946388733043544453367550326007780461133592859241065700965691220'+  number: '0.7883877277856098503412088444384376039463887330435444533675503260077804611335928592410657009656912200' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552a2}[Curve in LMFDB]   params:

from line 2838 (9 lines, 1 fewer than before) @@ -2917,10 +2838,9 @@

     c6: '-50625'   number: '1.409850977592634097068254354882760218515762580401327660597725815572917332386597983306184038767664748'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/575e1}[Curve in LMFDB]-  params:+- params:     N: '575'     c4: '880'     c6: '-26200'-  number: '0.831883319220574201512113885747748043861031886196914863870591342676633835374169843979755316506945840'+  number: '0.8318833192205742015121138857477480438610318861969148638705913426766338353741698439797553165069458407' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/576a4}[Curve in LMFDB]   params:

from line 3011 (9 lines, 1 fewer than before) @@ -3091,10 +3011,9 @@

     c6: '-25442613'   number: '1.569891637630935355104377644921938040136422251602935220429530835663520328300187383338841597467731103'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/598b1}[Curve in LMFDB]-  params:+- params:     N: '598'     c4: '-2103'     c6: '-438021'-  number: '0.972377425315464484567625545127561327861242587715087793612986889240971054277714354262360513736293736'+  number: '0.9723774253154644845676255451275613278612425877150877936129868892409710542777143542623605137362937362' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/598d1}[Curve in LMFDB]   params:

from line 3064 (9 lines, 1 fewer than before) @@ -3145,10 +3064,9 @@

     c6: '201498759'   number: '1.463218542434014842909705345626925511357714941089376699339138056395052472389851526635321734558225058'-- comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/605c1}[Curve in LMFDB]-  params:+- params:     N: '605'     c4: '561'     c6: '-28809'-  number: '0.921431958462048086522468774999531831572646528570852183687150742876448790317528698919091501410972844'+  number: '0.9214319584620480865224687749995318315726465285708521836871507428764487903175286989190915014109728443' - comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/606b1}[Curve in LMFDB]   params: