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

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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)) current
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 reviewed
2021-05-08 13:33 bmatschke from the data repository, 6c0a557d

The first version, 2021-05-08 13:33

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+Title: Special $L$-value of elliptic curves over $\mathbb{Q}$ of rank $1$+Definition: The special $L$-value of an elliptic curve over $\mathbb{Q}$  of (algebraic)+  rank $r$ is  the $r$'th derivative of  its $L$-function $L(E,s)$ at $s=1$. Here+  the arithmetic normalization of $L(E,s)$ is used CITE{LMFDB-special-L-value}. This+  table lists $L'(E,1)$ for elliptic curves over $\mathbb{Q}$ of rank $1$ for the+  first few conductors.+Parameters:+  N:+    title: conductor of $E$+    type: Z+  c4:+    display: $c_4$+    title: invariant $c_4$ of a minimal model of $E$+    type: Z+  c6:+    display: $c_6$+    title: invariant $c_6$ of a minimal model of $E$+    type: Z+Comments:+  comment-optimal-curves-only: As $L(E,s)$ only depends on the $\mathbb{Q}$-isogeny+    class of $E$, the table lists at most one representative of each isogeny class.+  comment-BSD: The Birch and Swinnerton-Dyer conjecture CITE{WikiBSD} states that+    $\frac{L^{(r)}(E,1)}{r!} = \frac{|\text{Sha}(E)|\Omega_E R_E \prod_{p|N} c_p}{|E_{\text{Tor}}|^2}$.+  comment-redundancy-of-N: The conductor $N$ can be deduced from $c_4$ and $c_6$.+    We display it for convenience.+  comment-E-from-c4c6: 'A model of $E/\mathbb{Q}$ is given by $E: y^2 = x^3 - 27 c_4+    x - 54 c_6$.'+Formulas: {}+Programs:+  program-sage:+    language: Sage+    code: "numbers = [E.lseries().taylor_series(series_prec=2)[1] \n             \+      \            for E in cremona_curves([1..100])\n                         if\+      \ E.rank() == 1]"+References: {}+Links:+  LMFDB:+    title: 'LMFDB: Elliptic curves over Q'+    url: https://www.lmfdb.org/EllipticCurve/Q/+  LMFDB-special-L-value:+    title: 'LMFDB: Special value of an elliptic curve L-function'+    url: https://www.lmfdb.org/knowledge/show/ec.q.special_value?special_value+  WikiBSD:+    title: 'Wikipedia: Birch and Swinnerton-Dyer conjecture'+    url: https://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecture+Similar tables: ''+Keywords: ''+Tags:+- number theory+- elliptic curves+- special values+- L-function+Data properties:+  type: R+  complete: 'no'+  sources:+  - CITE{LMFDB}+Display properties:+  number-header: $L'(s,1)$+  group parameters:+  - - N+  - - c4+    - c6+Numbers:+  '37':+    48, -216:+      number: '0.305999773834052301820483683321676474452637774590771998534541832481016050469290169911495257337795897'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/37a1}[Curve in LMFDB]+  '43':+    16, -280:+      number: '0.343523974618478230618071163921737442803975861250987002041546440448516298606709071839018983264185067'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/43a1}[Curve in LMFDB]+  '53':+    -15, -297:+      number: '0.435863824177857162053863132073440756333621247934221721593049770580844870524969474800510959382818717'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/53a1}[Curve in LMFDB]+  '57':+    112, -1304:+      number: '0.417491639676309640389320491599203894423517183460572744714400104969112917491462032541427592113187868'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/57a1}[Curve in LMFDB]+  '58':+    57, -621:+      number: '0.463704164788250578440596347850035730645113715304523678446031660893301694763399536961824842783807187'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/58a1}[Curve in LMFDB]+  '61':+    97, -1009:+      number: '0.485673651426582625110171359600737852306428717956200914090557450186596599646008929871005030886316886'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/61a1}[Curve in LMFDB]+  '65':+    49, -73:+      number: '0.505334342306859777459534424609576178245529413130425350445312261452231169667708486625328084779941162'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a1}[Curve in LMFDB]+  '77':+    -96, -216:+      number: '0.627336201930507811010236787665534909937403389217163838634683112187956966145598125305499795773661557'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/77a1}[Curve in LMFDB]+  '79':+    97, -881:+      number: '0.581180215948967540631586683540618564883637138788873245558884207073264908443937969997556249594508328'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/79a1}[Curve in LMFDB]+  '82':+    553, 12779:+      number: '0.583001559470606831855321298541767449719776493267534593439700188379093114332036637169516222186525945'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a2}[Curve in LMFDB]+  '83':+    -47, 199:+      number: '0.598267332716596305740485419680744992309061645655701172538118368508751927719890598931975006336036700'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/83a1}[Curve in LMFDB]+  '88':+    192, -3456:+      number: '0.684901593904122069302274066638174953255331860760342181605316905550060927817012969857888346321172227'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/88a1}[Curve in LMFDB]+  '89':+    49, -521:+      number: '0.622476541536974615979281400676119216638372181435973912725954190299827733841500613212867654148205583'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/89a1}[Curve in LMFDB]+  '91':+    -48, -216:+      number: '0.554939366544175557860944688296620167559285499084922167459345385253955411846472909645110867028969825'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91a1}[Curve in LMFDB]+    5632, 1041704:+      number: '0.710811303825633708343154201548434201604519454297174935613692885284605925426075998745290168520271073'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b3}[Curve in LMFDB]+  '92':+    48, -864:+      number: '0.703357491984634765143332710259551160040860358349486732064250669806231032604884429411567732730416730'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/92b1}[Curve in LMFDB]+  '99':+    801, -22545:+      number: '0.680551559139834143328719414006755067657977698310092878494737502777826253338684459751686029277767214'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a2}[Curve in LMFDB]+  '101':+    64, 296:+      number: '0.756029565684432962798677242093882640899592403609856643561644679218195874986571317567828197282562942'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/101a1}[Curve in LMFDB]+  '102':+    121, -845:+      number: '0.677284898016669010201237346153559931507175341245850195414457615066189051306623936833213924787393948'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a1}[Curve in LMFDB]+  '106':+    361, -6965:+      number: '0.690902275065704062587249219360955512233548181380126202331026144154021690284427688502924734291828997'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/106b1}[Curve in LMFDB]+  '112':+    1936, -84160:+      number: '0.809300728597716028164805103076365953744857683296992245421155451848685248971142263432171529394645774'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a2}[Curve in LMFDB]+  '117':+    30033, -5204601:+      number: '0.746113388746476254537370834659243924098089829826726932115197396597633064873173079873414680566379414'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a4}[Curve in LMFDB]+  '118':+    -23, -629:+      number: '0.731108308002212851041576050440805081727801790548208413347819413208918175381553208082179248021600348'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/118a1}[Curve in LMFDB]+  '121':+    42592, 9018856:+      number: '0.862372296690397239959551621795300772611528482351310935126873869273948216669189141990236161514797533'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b2}[Curve in LMFDB]+  '122':+    -119, -37:+      number: '0.716865946717756653879907749457359333239003134280973569537963386714037645654988463219736686267138440'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/122a1}[Curve in LMFDB]+  '123':+    496, -11800:+      number: '0.671590513750537634837896650359748219029769823583454233065166550809259453238960091130822990279438775'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a1}[Curve in LMFDB]+    -32, 424:+      number: '0.872071055995175803726839114291258261625407758484221381059857507650403830017366799574636132729122908'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123b1}[Curve in LMFDB]+  '124':+    112, -1504:+      number: '0.855982749320610487826131033285058929497385503067369479063671101016539508953733154358721517602357120'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a1}[Curve in LMFDB]+  '128':+    448, -8704:+      number: '0.872544083795989939703195785147315996448278848583187478091747172489763638411023938102822676706685014'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a2}[Curve in LMFDB]+  '129':+    928, -28376:+      number: '0.894195509285556437072121896472768277279588256239659010625082514115576148422738346074930330560833016'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/129a1}[Curve in LMFDB]+  '130':+    9961, 954251:+      number: '0.738217398792044440661760033161148040684261768014384286795399526930026433018420201950777318897738856'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a3}[Curve in LMFDB]+  '131':+    -32, -440:+      number: '0.901464735335761897106926586284752468409330544100055287028247778246346010205605266197553794364428386'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/131a1}[Curve in LMFDB]+  '135':+    144, -3672:+      number: '0.670348696772766113023397350373015692406123103699631943716176536575171236126706857414585064975280624'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/135a1}[Curve in LMFDB]+  '136':+    208, -1216:+      number: '0.899895987535356998623345402356800869529127513248293111997670550224381720483923924072737337370300682'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a1}[Curve in LMFDB]+  '138':+    1513, -58805:+      number: '0.790771297131439855134936402105514803986128986057962567179519589111839544914847833314199377436128139'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a2}[Curve in LMFDB]+  '141':+    592, -5464:+      number: '0.718550172498336870429000802664745137364932274525037338729232649087766700161951377701273973015814815'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141a1}[Curve in LMFDB]+    64, 136:+      number: '0.938788785330011905069462532089981505795122048102469641204593734717748848158705822095022079414711210'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141d1}[Curve in LMFDB]+  '142':+    561, -10665:+      number: '1.053511453718265025773999027869183273599612782976289062002539789363178976775431266357751938381959829'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142a1}[Curve in LMFDB]+    73, 379:+      number: '0.801533452141246903660445292772883403819497004248356416483785146028104928421829926840651962744092273'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142b1}[Curve in LMFDB]+  '143':+    64, 1864:+      number: '0.945696411200262632997018273507466386804515613137602842557922498838151456245314692255609075303844417'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/143a1}[Curve in LMFDB]+  '145':+    129, -1377:+      number: '0.831621707461695414057395024569042387237764514664465134694610735559577076232997614849003774443520890'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a1}[Curve in LMFDB]+  '148':+    256, 640:+      number: '0.977327490009114692637212732934206791972659587124438010148960748180142323446125399985567583037082340'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/148a1}[Curve in LMFDB]+  '152':+    64, -2944:+      number: '0.953918065847672006834716805268707780225582336195168524061620903736825076492990617876963114927158852'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/152a1}[Curve in LMFDB]+  '153':+    144, -1944:+      number: '0.706841736725796850495947033687074534968620691337125867921686149370110162116852578593005290109375280'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153a1}[Curve in LMFDB]+    25632, -4105944:+      number: '1.018155960661390526299838671219191751443156598315057139203723991809007188659837842461607180673904940'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153b2}[Curve in LMFDB]+  '154':+    22521, -3379725:+      number: '0.871692225356600906704890079136689863276790470081894487690366747987321522322130655491400311432255476'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/154a2}[Curve in LMFDB]+  '155':+    40336, 8116264:+      number: '0.671552888784560119152524161072842273743219982418647152808284369735446754126462053439638614782745142'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155a2}[Curve in LMFDB]+    64, -728:+      number: '0.984317215669147664736161967786166928093439409056376618520124046632179829729097665580686911081320444'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155c1}[Curve in LMFDB]+  '156':+    976, 26560:+      number: '1.003503055031987212890221160193751417891216451436704901565069840171124057487180346519799121596133482'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a2}[Curve in LMFDB]+  '158':+    417, -6129:+      number: '1.117214632242009084924318026276518178257142333261234737352637837884065785016685545395334833685359383'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158a1}[Curve in LMFDB]+    169, -2069:+      number: '0.845139943228373888886053779352362170221406352632276167127491895609314521573951211269021592567152095'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158b1}[Curve in LMFDB]+  '160':+    304, -5248:+      number: '0.977744081045803467789326650628817630854575858677113569602602963617403608362976988476350473904828108'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/160a1}[Curve in LMFDB]+  '162':+    297, -5589:+      number: '0.896479514136384491396733036641260892557174489644120316031504891230968354635155750733953757847379897'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/162a1}[Curve in LMFDB]+  '163':+    96, -1080:+      number: '1.047933021824714496945996574669320362667288620111396168077534241641103774651542848600278479371729176'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/163a1}[Curve in LMFDB]+  '166':+    313, -5741:+      number: '0.860017015450079830507096062088336661932551973737596218724296361747551447289586659288623783454447279'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/166a1}[Curve in LMFDB]+  '170':+    361, -5941:+      number: '0.828934148239303368432070120680146654393327273404491600341634870578773215865777475357604127733238336'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/170a1}[Curve in LMFDB]+  '171':+    332352, -191600856:+      number: '1.076857723844348022814538666617114151770648867169504663507506491511297750076684201137781377976078565'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/171b3}[Curve in LMFDB]+  '172':+    640, -16768:+      number: '1.015958921455393957921018563778726523944618674838573001537028437250506731379522327279773515387226077'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/172a1}[Curve in LMFDB]+  '175':+    7120, -603800:+      number: '0.697734031505228147186761636297941335962514790198838494268787109282101760900660902099476124269915277'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/175a2}[Curve in LMFDB]+    157600, 65449000:+      number: '1.047620263527469582359993651484759951038145655920536335962905923230139478258303367785766083388522633'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/175b3}[Curve in LMFDB]+  '176':+    3712, -227456:+      number: '1.069314286407577429746087453022939136122542491791429506665434506346125196478541735069712930339916001'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/176c2}[Curve in LMFDB]+  '184':+    16, -800:+      number: '1.087584739772009880328862026829400560238894223969031368704766955381175760520894205701492202053582110'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/184a1}[Curve in LMFDB]+    208, -3104:+      number: '1.097526344298353361909837734113853208420637455352795838613768730643642657805326220982978129870507264'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/184b1}[Curve in LMFDB]+  '185':+    7504, -650008:+      number: '0.819629817630165013743274950605454715006963239454397369565886130270588660982912675398774244378112237'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185a1}[Curve in LMFDB]+    256, -3896:+      number: '1.080374709013282784430539637008594149809830904710444371614608650965547183566722035038306820586726747'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185b1}[Curve in LMFDB]+    169, 2123:+      number: '1.244794863851806772439742411245851790047197081625231459975869782342396977123047490932733562656637930'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185c1}[Curve in LMFDB]+  '189':+    144, -216:+      number: '0.768994397553302453646544377438054715436126324917010893566149086757235112744061859148842126554310715'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/189a1}[Curve in LMFDB]+    184032, 78947784:+      number: '1.130462498330755103952139031957111807352858126467156215867082862400643061662016187951899259052509562'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/189b3}[Curve in LMFDB]+  '190':+    2289, -116937:+      number: '1.234234240407772797530518149700262887123968758316849626590127562132595917599159962174222620055963287'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/190a1}[Curve in LMFDB]+    -71, -1133:+      number: '0.916206563793677510903899235744395828772394805165557273740592081332818452725352454911145170319230856'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/190b1}[Curve in LMFDB]+  '192':+    6208, -488960:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/203b1}[Curve in LMFDB]+  '205':+    11121, 1160919:+      number: '0.981239696408411083004574898699529762148021058187143218317884945826590705249291770647541190908957807'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/205a3}[Curve in LMFDB]+  '207':+    6705, -547209:+      number: '0.978557120304540366731048574435234938134814416145754282252743017903326063068938919357871260388362479'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/207a2}[Curve in LMFDB]+  '208':+    352912, -209652416:+      number: '1.157147471631114582604096899190987363724252632138730906243516605045796906069250690688451893768637770'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/208a3}[Curve in LMFDB]+    784, -22976:+      number: '1.168718618311089682771684500082356892575209715881460415175704312840654007803019680501890485294124953'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/208b1}[Curve in LMFDB]+  '209':+    1312, -55576:+     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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/218a1}[Curve in LMFDB]+  '219':+    304, -5336:+      number: '0.744571295186826023971570690815068960056613285772785011490298775043160957413699373023112532633782979'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219a1}[Curve in LMFDB]+    1312, 65384:+      number: '1.280321499166410105014344662727832945302590918700491230243889617129885381713047171321059935022859437'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219b2}[Curve in LMFDB]+    62281, 15542875:+      number: '1.404402807857705254291884565750361109004676063424155083092807182349996664249638808803894087040548746'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219c2}[Curve in LMFDB]+  '220':+    340816, 198966464:+      number: '1.141118183079603354111455539051266240072172296707381316743352363303316389161818865757771731850904369'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/220a4}[Curve in LMFDB]+  '224':+    400, 4544:+      number: '1.143525075378886904859777537945053861251023974057993149626530652101940737190121550196820360733864041'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/224a2}[Curve in LMFDB]+  '225':+    0, 29160:+      number: '1.245398675052923627915196198633241139163521648567317484101257316711783078242755363827661630657637750'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225a2}[Curve in LMFDB]+    3600, -221400:+      number: '0.827812388531882550795598809163734672850641583588029449553081310862046757094308123821042286134643048'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225e1}[Curve in LMFDB]+  '226':+    2161, 99575:+      number: '1.396030121442331005905581388998597134424633993614981122369554588162565748663984962469228217918248375'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/226a2}[Curve in LMFDB]+  '228':+    -128, -8576:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/249a1}[Curve in LMFDB]+    -71, -269:+      number: '1.516258910694570494597194415881275756976313825424893517394699780457675126642454480966932583009256454'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/249b1}[Curve in LMFDB]+  '252':+    15696, -1961280:+      number: '1.331636364199263816451947750340257965896450758854759089735148893995989718540835677498076129487894663'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/252b2}[Curve in LMFDB]+  '254':+    1172737, 1269991871:+      number: '1.482432044553811712325471910183926385249959472915052375596895132056517168670016201205114725819105819'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/254a3}[Curve in LMFDB]+    249, 3699:+      number: '1.110334192821887594382044998656281728849323899999738991588349952644934783825863717000619682880702584'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/254c1}[Curve in LMFDB]+  '256':+    640, 14336:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/262a1}[Curve in LMFDB]+    105, -1269:+      number: '1.134047341497730632532438459406777182088612301785969271467996602222664049199358958868198509650421702'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/262b1}[Curve in LMFDB]+  '265':+    6609, -537273:+      number: '1.072062417933670116978151205183618666448818379291714660488102084768658887168542631439322720405185670'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/265a1}[Curve in LMFDB]+  '269':+    96, 648:+      number: '1.361250624100741778849957506763038693870387388336485383477911025982865884291289118855018159063236039'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/269a1}[Curve in LMFDB]+  '272':+    2320, 107072:+      number: '1.238779239514550456507127981832617883636847865073858501513707312358781216796811063844986927852189913'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/272a2}[Curve in LMFDB]+    69648, -18380736:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/274c1}[Curve in LMFDB]+  '275':+    71025, -18923625:+      number: '1.096949429348427309781419275815169348953977586698244817056583728605124241141273781671247554166789723'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/275a4}[Curve in LMFDB]+  '277':+    -23, 683:+      number: '1.528984901986301847880548814404360648736461792239521540845782426215088565038925698482988274532161695'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/277a1}[Curve in LMFDB]+  '278':+    49, -7849:+      number: '1.563033354868995058070102095981723557300652391094877445819281141953671281754394962571355911575188431'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/278a1}[Curve in LMFDB]+  '280':+    64, -3968:+      number: '1.336337668324189719816286704162238873865352383191536805814102279320998295183249421755568819702717482'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/280a1}[Curve in LMFDB]+    19776, -2865024:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/289a3}[Curve in LMFDB]+  '290':+    3369, 191403:+      number: '1.173643628790355015830368667070370185321335471780445440595395611963392761705569253629988353295165030'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/290a1}[Curve in LMFDB]+  '291':+    865, 24463:+      number: '1.027450926868358595434204683546594907945810359545224810752248602353929308992528789841422701312210599'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/291c2}[Curve in LMFDB]+  '294':+    6601, -521605:+      number: '1.237753202283802482843832943911148469035748540909904831355481695552624324697855876720164924587116163'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/294g2}[Curve in LMFDB]+  '296':+    448, -8576:+      number: '1.355936702528880383897703186274402558500461094788891200790043925117733143460871604197048261807502067'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/296a1}[Curve in LMFDB]+    1600, -63872:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/298a1}[Curve in LMFDB]+    -39, 675:+      number: '1.152759005684721513610096346786431401480980024913527338441634777557182820769176469973409228905505196'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/298b1}[Curve in LMFDB]+  '300':+    640, -15200:+      number: '1.384026049686814704571702766362183459042238810469998534922180513286003406317668061297460012226717015'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/300d1}[Curve in LMFDB]+  '302':+    11041, -1163825:+      number: '1.693143271918078248735292552728894181874446348347575107469100308909588292324283080126764387485844284'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/302a1}[Curve in LMFDB]+    -15, -2889:+      number: '1.531064533207309910215917029828007585735880606658747599159279578162730733846621729122732234104833940'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/302c1}[Curve in LMFDB]+  '303':+    9472, 122696:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/304f1}[Curve in LMFDB]+  '306':+    48825, -7455213:+      number: '1.211094919555722625764585559151332613127731054043428706250451779086547794450033590145193250492333911'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/306b4}[Curve in LMFDB]+  '308':+    1024, -36224:+      number: '1.389106382028958396539428534042480230481655697551074497738237733041038920190860588863726409392877896'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/308a1}[Curve in LMFDB]+  '309':+    289, -8209:+      number: '1.227689479660316237226266300068501283098385926957420566922024985563578256633675351424989715829586726'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/309a1}[Curve in LMFDB]+  '310':+    98209, -13432177:+      number: '1.641512193339972338881735296873856976079045510460140904136254020926887623055126863684500946048159115'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/310b4}[Curve in LMFDB]+  '312':+    160, 928:+   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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/320f3}[Curve in LMFDB]+  '322':+    11433, -1218645:+      number: '1.213269020740724885521663271470036689793135639988009979639017394388343132392436771254285696626951945'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/322a2}[Curve in LMFDB]+    8353, -762481:+      number: '1.659050717359607784189287186487800324746974128715497083569962207989034311208703259308893598017529551'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/322d2}[Curve in LMFDB]+  '324':+    9072, 863136:+      number: '1.497440873305686520327606290675596496383369031598939532904379068252526473070629044018847800387765951'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/324c2}[Curve in LMFDB]+  '325':+    64000, 16145000:+      number: '1.571690975313620002518478252848092831037318419375826294547599945667756572091326832663507669368883298'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/325a2}[Curve in LMFDB]+    2560, 129160:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/356a1}[Curve in LMFDB]+  '357':+    256, 15112:+      number: '1.422635706244250100299722546393853610268657952568429875355353625726748502240454819608432283314839724'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/357b1}[Curve in LMFDB]+    2032, -107416:+      number: '1.029786332553096751759195931060568079767224794944846781711783525261578825863583002218287473662768512'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/357d1}[Curve in LMFDB]+  '359':+    1081, -35533:+      number: '1.699672348567075161099116475183153327656902247940977467258327706475472519754161483461226377806976847'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/359a1}[Curve in LMFDB]+    321, -5697:+      number: '1.224431894425820864001272717877529679459492165838783060071134790018299903594011968733096966810409927'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/359b1}[Curve in LMFDB]+  '360':+    46224, -9937728:+      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HREF{https://www.lmfdb.org/EllipticCurve/Q/423g1}[Curve in LMFDB]+  '425':+    108825, 35899875:+      number: '2.076944087818493840296715419939883637320146897411319327923894133028961010563370190477247184309067683'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/425a3}[Curve in LMFDB]+    3625, -243125:+      number: '1.944375634200804622901399761268513815139953475994568152419301372244620131039230526957535509840101009'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/425b1}[Curve in LMFDB]+    145, -1945:+      number: '1.408043329671757228116162149637253583761811414607134455651454146944797833449871417260778868367961559'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/425c1}[Curve in LMFDB]+    10225, 1028375:+      number: '1.018380308692633111611644445154285545188127330551629213906446508003095893512293067560453346366952709'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/425d1}[Curve in LMFDB]+  '426':+    221113, -103973165:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/429a2}[Curve in LMFDB]+    329473, -189116641:+      number: '1.366654747746217064489892641423541312212538719070232311710030387250087907029733445280367166373670718'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/429b4}[Curve in LMFDB]+  '430':+    969, -30213:+      number: '1.374551585898311961992333836235865297269168970737308306853361999800411130184624809410483140949676312'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430a1}[Curve in LMFDB]+    -759, 5211:+      number: '1.406560288475582473851404417949236376844628682063945648279329014369752865126348712876133919275943722'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430b1}[Curve in LMFDB]+    270049, 140335343:+      number: '1.888229564539266419847738460770921531540815933238392243480635574145615336896030825144445231114864038'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430c3}[Curve in LMFDB]+    67921, -17914969:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/432f3}[Curve in LMFDB]+  '434':+    2265, -104733:+      number: '1.395181815163365522558659988076252560711241459702825894370764978548609256987031520004466889772235164'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434a2}[Curve in LMFDB]+    6673, -411769:+      number: '1.878905422319986567000377474076369473560143776973079034164010123115795055455107438741102706348999808'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434d2}[Curve in LMFDB]+  '437':+    -896, -92024:+      number: '1.894004625878607065721350411358849953533871807142968620470059376091522910827429538987699894183025325'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/437a1}[Curve in LMFDB]+  '438':+    3145, 176059:+      number: '1.258750461010797852311556488233045309958744902370737644634060798402244607412358878244916131569529830'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/438c2}[Curve in LMFDB]+    1568665, -1629420733:+      number: '1.525826464300512298750471948938750014192462184538770340740796299245824198368664631301568979122147912'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/438d4}[Curve in LMFDB]+    74833, 20470951:+      number: '2.022056489090767774295476385987491206431494713138774261945859421818486477963980338694391359674649601'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/438f3}[Curve in LMFDB]+    4681, -320005:+      number: '1.436806591780339378835955581787546107827389565147392637251129422598632133198971664129178554851584246'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/438g2}[Curve in LMFDB]+  '440':+    1824, 75168:+      number: '1.734033281288930837632765775643962188971853636773897361907021135614578976439412887606108116774173345'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/440a1}[Curve in LMFDB]+    1104, 32832:+      number: '1.734674620577823874757783977768365792813572524040383868948404694032484894164019401804860613180948004'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/440b2}[Curve in LMFDB]+  '441':+    0, 285768:+      number: '1.651771125898435878245146652544835324858075672161159276867434488234718067117872271302063082318266366'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441b2}[Curve in LMFDB]+    16596153, 67610032371:+      number: '2.077909117668375199492006913332552184869981584576044335965285914378416959169598768953339293442237684'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441c5}[Curve in LMFDB]+    787185, 698381271:+      number: '1.294558618059896280043565913314068422809357978174992422343666107462436092206667032772737862600118743'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441d4}[Curve in LMFDB]+    394128, 247630824:+      number: '0.994497295964896555014698186573557813573663244980207142039168677473929539935267962495081343813574261'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441f2}[Curve in LMFDB]+  '442':+    58161, -13713705:+  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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/448g2}[Curve in LMFDB]+  '450':+    357705, 213241275:+      number: '1.411130870094864186739155797677993845434157382333424878117273842172404988366528939284661587473865784'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/450c4}[Curve in LMFDB]+    261225, 34900875:+      number: '1.410076751525875293360210724422442666509830692150576520154434365935900515604407183724655623799266720'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/450f4}[Curve in LMFDB]+  '451':+    -128, -5464:+      number: '1.756371802103438859719935010428531214672022795611763534643383807336192906244967264101267643806430938'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/451a1}[Curve in LMFDB]+  '455':+    224169, 106135947:+      number: '2.125391659349720333467670451878717880434016172758588417599533872033018623153057934575140820992902678'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/455a3}[Curve in LMFDB]+    19041, 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HREF{https://www.lmfdb.org/EllipticCurve/Q/460c1}[Curve in LMFDB]+    496, -11744:+      number: '1.666631404294423802091755489812838424257575540070082328062263740240382905486875434668482257590313894'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/460d1}[Curve in LMFDB]+  '462':+    5065, 343099:+      number: '1.286621563219628132063660187650748994680389874668864952982171799940537793194784973826265926250706031'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/462a2}[Curve in LMFDB]+    10873, 1133299:+      number: '1.239029777689509426199027096859858896179033043529091039123341928214361359223875529304329225020534629'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/462c3}[Curve in LMFDB]+    357361, -213574985:+      number: '2.036386711945328962935110276760506908587426906091023332139052962411261702815655545065134397349077651'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/462e2}[Curve in LMFDB]+  '464':+    -368, -1216:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/467a1}[Curve in LMFDB]+  '468':+    1728, -69984:+      number: '1.748492820728413185926083966465857357558242318344657507964089035336047760105089251626187433835920250'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/468c1}[Curve in LMFDB]+  '469':+    3817, 231659:+      number: '2.266746565369899479971475928018272928854673293914352863085880990134744872771752839012286922323070080'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/469a1}[Curve in LMFDB]+    561, -13257:+      number: '0.909689128264265400147780224903078142951608668619789873236615040038865662120607565176089942278689467'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/469b1}[Curve in LMFDB]+  '470':+    2089, -94933:+      number: '1.554257420841662585820023235901220863476284100630096190645285282450918609394250059415623967906921451'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/470a1}[Curve in LMFDB]+    4681, -277829:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/472a1}[Curve in LMFDB]+    -176, -4544:+      number: '1.640795189583488876764083413159180208700205870715362438595863882985358385705674786940802404204437634'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/472e1}[Curve in LMFDB]+  '473':+    48304, -10616536:+      number: '1.174588479873689555386758228838316256226853713149755427281202194560987264693138635636626109090037847'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/473a1}[Curve in LMFDB]+  '474':+    -3863, 52363:+      number: '1.345348804847919428500559127782492867798633473578054917933242027892936852841086060915234395477288614'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/474a1}[Curve in LMFDB]+    313, -12781:+      number: '1.531391714681393040193673871276596419553256003309496914828790254400670364783877186679990684655824520'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/474b1}[Curve in LMFDB]+  '475':+    29625, -4978125:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/493b1}[Curve in LMFDB]+  '494':+    -599, -6677:+      number: '1.343072809085402147715178714213654247697491362475694182496884142291992074964336619472318171144227507'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/494a1}[Curve in LMFDB]+    48049, -11052521:+      number: '2.156680518912261402750902792008024500106553542248306395678555578236928106406951449920950559436926537'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/494d1}[Curve in LMFDB]+  '495':+    25569, 4087503:+      number: '1.310426842963573106407277135748938430949090340906134843698308854425956038882658330756479957948893801'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/495a3}[Curve in LMFDB]+  '496':+    -48, -864:+      number: '1.785809493869200687020055386923151604187751342433514417674919519878453597876810145655759925239878419'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/496a1}[Curve in LMFDB]+    816, -23328:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/505a1}[Curve in LMFDB]+  '506':+    2281, 108683:+      number: '1.201868878111822309848228404611776010073999964589433929336985231086447315493905416278276089004237875'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506a1}[Curve in LMFDB]+    44889, -9499869:+      number: '1.456780907572953318050226641835752707320269190087710542546983238427186763576334880248031764478104112'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506d1}[Curve in LMFDB]+    177, 1431:+      number: '2.295203247605945251975233314409944638188497168687832437627349620215446367545473090692758283747254410'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506e1}[Curve in LMFDB]+    4129, -258481:+      number: '2.009792347273245569096905662721679112341158403640086343774291336802293172989322881597638933451583928'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506f1}[Curve in LMFDB]+  '507':+    608569, 2639579059:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/516b1}[Curve in LMFDB]+  '517':+    2512, 3352456:+      number: '2.659882579062569533464408443230676139945032310949773776208691765460021693660982356526545527449064060'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/517c1}[Curve in LMFDB]+  '520':+    27024, 4439232:+      number: '1.862911910857205810019607327563472848658489954840618020947102725593599029145698485738837845572236459'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/520a3}[Curve in LMFDB]+  '522':+    -567, 177147:+      number: '1.567084285031571661534848786136835794846286581892654708721582021758542122474535528969748231539284593'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/522a1}[Curve in LMFDB]+    2169, -110349:+      number: '1.476119409172090117212922996253963013616633187544730985779431863638601455436074506550764307080822760'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/522e1}[Curve in LMFDB]+    196569, -87741981:+    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HREF{https://www.lmfdb.org/EllipticCurve/Q/528g3}[Curve in LMFDB]+    112528, 37710656:+      number: '1.989286600448344654839169298911761781648908361895527923172640118262535508647256330730012191610140726'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/528h3}[Curve in LMFDB]+  '530':+    201, 891:+      number: '1.525275050443732055632649903827771619872935629875733303289538802630556317154890270982707985087653220'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530b1}[Curve in LMFDB]+    -58839, -26685909:+      number: '1.057350426956556950017752340551187748868869546253130273132105911937399848715931001953431095018828653'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530c1}[Curve in LMFDB]+    -431, -8153:+      number: '2.226228200999187321653806620552152116504574924483810238748329963858531436955619576988364544785693870'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530d1}[Curve in LMFDB]+  '534':+    673, -14705:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552a2}[Curve in LMFDB]+    36112, -5807168:+      number: '1.806389525589616460855643986880652193122230171726017491195398111220610910714126824205626056001661430'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552d3}[Curve in LMFDB]+    141328, -53130304:+      number: '2.023456385330687355372671826019907031064119769814563531034761900908801726352983001506940670930382941'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552e4}[Curve in LMFDB]+  '556':+    384, -7776:+      number: '1.901412212789894180290188236258301819920347264220544361643897102122908178428987780879049978834924137'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/556a1}[Curve in LMFDB]+  '557':+    25, -989:+      number: '2.164504369753795699198410256493366428166462804663408029773933066043622057588307218564722704568873982'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/557a1}[Curve in LMFDB]+  '558':+    9, -1701:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560d4}[Curve in LMFDB]+    -1536, 183168:+      number: '1.383858704555486907794035649543490026409998674652018975929310304989551191613848807393637325924977136'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560e1}[Curve in LMFDB]+    38656, -7600256:+      number: '1.798978323928729230674218356320508651314542059039005469754548353924067854339176021903879353766470832'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560f2}[Curve in LMFDB]+  '561':+    12928, -1484344:+      number: '1.918694710491352810488761581420864428380085661055579750449274880175552536489101445852027864189240812'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/561b1}[Curve in LMFDB]+    400, -9496:+      number: '1.255819114575033290380194889145664691075886601506551702835747047420772238378059557550761201416328946'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/561c1}[Curve in LMFDB]+  '564':+    10624, 1092736:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/567b1}[Curve in LMFDB]+  '570':+    77689, -21653837:+      number: '1.362983803778157330527161579071097303212538366119596477011035982961044329670528897108595950542253070'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/570a2}[Curve in LMFDB]+    19081, -2632229:+      number: '1.402768658001383664248282939446065392490952725632017303529826723194911360993645794905477155016897121'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/570c2}[Curve in LMFDB]+    46441, 10006091:+      number: '1.723230564304276852894584852979863817515066928911436282407792778551749851510219407282803742882826231'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/570e3}[Curve in LMFDB]+  '573':+    208, 296:+      number: '1.195959900242780032051645473995980999168420009796628899095719170195291111642468012984178744065596271'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/573c1}[Curve in LMFDB]+  '574':+    121, 883:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/574h2}[Curve in LMFDB]+    461343009, 9909138892239:+      number: '1.921955125994725810137717614485003334336086222650154981067336339669354177149336880722875095954477752'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574i2}[Curve in LMFDB]+  '575':+    105, -405:+      number: '2.369993760147818107163347691927556506284006242166610864260271215909109960474468003156070789934605021'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/575a1}[Curve in LMFDB]+    -8400, 1161000:+      number: '1.125298790541453664962419352583726411073430312533828227539274472042378088128389573357290153410815803'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/575b1}[Curve in LMFDB]+    2625, -50625:+      number: '1.409850977592634097068254354882760218515762580401327660597725815572917332386597983306184038767664748'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/575d1}[Curve in LMFDB]+    880, -26200:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585h1}[Curve in LMFDB]+    28656, -7620696:+      number: '1.174987612165266660512905661484148176213206525562849370069394300549917123726467623757029162002225600'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585i1}[Curve in LMFDB]+  '586':+    865, -365201:+      number: '2.346847565265929983913077520258387158912482820873767331010064769251064777328225638170540437437866558'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/586b1}[Curve in LMFDB]+    433, -9449:+      number: '2.283169506397613355477942958557911248375991128204636818474569673309546603453223670097057005821672746'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/586c1}[Curve in LMFDB]+  '588':+    4300240, -8917407296:+      number: '1.804686261426872077702803067540517911021605916812388742161261808924431289328515180699229182946127514'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/588b4}[Curve in LMFDB]+    2128, -90944:+      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HREF{https://www.lmfdb.org/EllipticCurve/Q/608f1}[Curve in LMFDB]+  '609':+    1705, -69749:+      number: '2.234367881218219799905090434976047649716145599221539564534625313936024172615073079069579585026463269'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609a2}[Curve in LMFDB]+    9821953, -30781996001:+      number: '1.184459078627148731124927279803888005845446254750741614596831226998259797362238500201100962048268664'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b4}[Curve in LMFDB]+  '610':+    131721, 47680731:+      number: '1.622209164952494402990721162709083798289675788410761520960576867902141895432412954935942637100191180'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/610b3}[Curve in LMFDB]+  '612':+    196992, 87433344:+      number: '1.920381697389857479009241449226149681468318526325785248574092339119706943740590132337227492551015866'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/612b2}[Curve in LMFDB]+    2304, -169344:+    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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/621b1}[Curve in LMFDB]+  '622':+    -399, 2295:+      number: '2.488558694485858387363587123096841389484055692915258471961502608443565878326720130379565274851981007'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/622a1}[Curve in LMFDB]+  '623':+    -1319, -125693:+      number: '2.288185124203479845993875260507328079243769826771988262020974846257026765306889505608858409266551342'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/623a1}[Curve in LMFDB]+  '624':+    3280, -187712:+      number: '1.841410874435996943906223931366798475471366651240493949508907288683029830583086668099410691830880392'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624a2}[Curve in LMFDB]+    2896, 141760:+      number: '1.713163480429003394864921321737893043712962672228537089969769656655982492429551443445187106584051729'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624b2}[Curve in LMFDB]+    14608, -1722304:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/656a1}[Curve in LMFDB]+  '657':+    11808, -1765368:+      number: '1.985310973794162380199730703583892479957237580413716867304133785965793207812458537420011953625520201'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/657c2}[Curve in LMFDB]+    513, -6561:+      number: '1.398993474443523762144100445640129045016526707626363111688999303215157808722902357792019401780473658'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/657d1}[Curve in LMFDB]+  '658':+    -1151, 28351:+      number: '2.428100890824706606868889360862116758445008303062826840750675434917474854708853899046824725284975875'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/658d1}[Curve in LMFDB]+    411441, -156792105:+      number: '2.541711523753518081712092207343238281111868341219103472486527301832601994218942258084543770657896678'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/658e2}[Curve in LMFDB]+    849, -24921:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/664c1}[Curve in LMFDB]+  '665':+    -3071, -200033:+      number: '1.242386240817831120262859275103254074287743392687564658633080822831127467897128380723511879065393258'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/665a1}[Curve in LMFDB]+    9321, -895509:+      number: '2.551339594681446327030254107676575960712811159146331228376560559426830774721193149493973812907025743'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/665b3}[Curve in LMFDB]+    121, -1709:+      number: '2.345192941341729973520910796806281877536223175628098675353666575619970932847284455456580985878193214'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/665c1}[Curve in LMFDB]+    799696, 939267496:+      number: '1.078145803589627820853017344799072002791991379283021928815598437120733866483344286091958399325749498'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/665d2}[Curve in LMFDB]+  '666':+    63945, -16181829:+      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HREF{https://www.lmfdb.org/EllipticCurve/Q/674b1}[Curve in LMFDB]+    -99087, -16664265:+      number: '1.986878730514677760154936343672053490504098784594346358195004958374683387366130696695636896881701422'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/674c1}[Curve in LMFDB]+  '675':+    324000, 184437000:+      number: '1.922659610251331118745758205570565894079468307980987725181179534279922159117272630167261358525491168'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/675a4}[Curve in LMFDB]+    225, -945:+      number: '1.472510303513665607578510650726018034937184622744834240842676851300403988637049349184222459319382836'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/675b1}[Curve in LMFDB]+    5625, -118125:+      number: '2.537720800710058676442169793898655937463003230315689892687644442138197810867388119078573069772528818'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/675i1}[Curve in LMFDB]+  '677':+    -95, 559:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/688c1}[Curve in LMFDB]+  '689':+    673, -17425:+      number: '1.033304817560965992925341113205168965675359891789352803477818533228827984280306918083631951017757374'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/689a1}[Curve in LMFDB]+  '690':+    83929, 21309283:+      number: '1.396397904993908259486554027808344349885374467950380272933708345158735832927153406781453447714341939'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/690a2}[Curve in LMFDB]+    510889, -364360213:+      number: '1.805106828180297141350643654698382649454708105203951727729720102876021156350103827565325860335511710'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/690e3}[Curve in LMFDB]+    5569, -398753:+      number: '2.470445283325669647438084992910349577614589137245328935134857246169553495713621170155834821205449518'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/690h2}[Curve in LMFDB]+  '693':+    -864, 5832:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/696g1}[Curve in LMFDB]+  '700':+    240, -4320:+      number: '2.134848795015478064081243003555165063590330437082758117893640076281828482555545131401437876556157247'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/700c1}[Curve in LMFDB]+    -38400, -22896000:+      number: '1.502115927677884393093560394763950091722204542609795027786105553873531292474776412991211942044770674'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/700d1}[Curve in LMFDB]+    96000, 29700000:+      number: '2.111058135389351638304852734635532300325619186644475147489997359647019319851673117253961413686615678'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/700e1}[Curve in LMFDB]+    6000, -540000:+      number: '2.107613683567118813823754726350604612912918256049759586535237428910333125144612199177387166363275263'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/700f1}[Curve in LMFDB]+    1920, -86400:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/702k1}[Curve in LMFDB]+    3969, -496449:+      number: '2.686835452074739806885538163164728410980500888555459995808032906736062231661761310855122686392471015'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/702l1}[Curve in LMFDB]+    71361, 11470815:+      number: '2.613142016669724887369856622791486349582028608768849952468788689848106061848785212670075039239417743'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/702m1}[Curve in LMFDB]+  '703':+    -48, 6696:+      number: '1.100685433959509949292046628162296597375612469310462558497473028742653357633073548449060209625334660'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/703b1}[Curve in LMFDB]+  '704':+    1501504, 1839881024:+      number: '2.275988563458147339772614169815477002559674289219350886952056662999166641809595039913047924749866656'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/704a3}[Curve in LMFDB]+    -32, -1088:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/710b1}[Curve in LMFDB]+    3361, -193841:+      number: '2.574764063489159127099488476314951759639295050210016127372932228612002874804337860612441082992928922'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/710c1}[Curve in LMFDB]+  '711':+    -135, 1107:+      number: '2.577159391207783386210597189037730661184320424886141127165100061216023402921959016856343918085048631'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/711a1}[Curve in LMFDB]+    -1215, -29889:+      number: '1.484148590460897497969157779811808683702090095100792662702230866098773477436536148899886051403135482'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/711b1}[Curve in LMFDB]+  '713':+    25, -1117:+      number: '2.792410160734616158505479812360502091004773365134983563098278572106912447321745300851711673771919396'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/713a1}[Curve in LMFDB]+  '714':+    2648377, -4309854317:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/715b1}[Curve in LMFDB]+  '718':+    24657, -3871449:+      number: '2.676495005374617410028273229661026111167486985327824739940837110266229061901174203114582906283492604'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/718c1}[Curve in LMFDB]+  '720':+    5904, -451008:+      number: '2.075336100082177459951026768718631689110517455348935009982981838891238003026750262752788364559507163'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/720a2}[Curve in LMFDB]+    93456, 28551744:+      number: '2.152706037579084175558162800717135458561773719315372899686383964480912524368213960507688763059082209'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/720e3}[Curve in LMFDB]+    882576, -829123776:+      number: '2.177124905346562359886383720719929849214303000694066272031591189395091787327115061633951587184660302'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/720g4}[Curve in LMFDB]+    14930064, 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HREF{https://www.lmfdb.org/EllipticCurve/Q/730j1}[Curve in LMFDB]+  '731':+    25849, -4155949:+      number: '2.806862487932214064958822532687982160828338377734870774335206844908935049848059475383863497829819219'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/731a1}[Curve in LMFDB]+  '732':+    4816, -337472:+      number: '1.930652094155394701834173697392799589781771141359539964128002636907476268414776389863499043551096591'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/732b1}[Curve in LMFDB]+    7888, 668096:+      number: '2.268227267778454156161390058280158457189365405898496949967565273466953058361414700505612115590930176'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/732c2}[Curve in LMFDB]+  '735':+    9856, -980504:+      number: '1.790588292108240895760203326559815050591589738689457699471606500192276390746352482079532015573694311'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/735c2}[Curve in LMFDB]+    5080369, -11450986057:+      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HREF{https://www.lmfdb.org/EllipticCurve/Q/740c1}[Curve in LMFDB]+  '741':+    256, -21592:+      number: '2.206482788612784542177135012759625337278402171258002333344050461692429207835862216735742779477861116'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/741e1}[Curve in LMFDB]+  '742':+    249, -4941:+      number: '1.621475973815328692046948310785307570669243700937090881737281252068753648399798725113480223995044047'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/742a1}[Curve in LMFDB]+    22994521, -110264513885:+      number: '1.917564308237563802949367509053986518739120901923148109527643838071130734605312222303213263677504025'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/742e2}[Curve in LMFDB]+    673, -70001:+      number: '2.509331120689534071045962178500674331064525052040916311350609254644311435592012428754325778161590389'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/742g1}[Curve in LMFDB]+  '744':+    -176, 1504:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/747a2}[Curve in LMFDB]+    23769, 3664899:+      number: '2.585381936125714967979141153754945848630908342665607613883121427153403303739173542020375360003099730'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/747c1}[Curve in LMFDB]+    -423, -5373:+      number: '2.705267442811880166502600000333649561108459338221631936822677883879042088415044274306097429118100805'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/747d1}[Curve in LMFDB]+    -639, 7263:+      number: '1.513198402317457171892521665991991915880094891137896297991818457117092780191524986452023967234754980'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/747e1}[Curve in LMFDB]+  '749':+    193, 4031:+      number: '1.628762467254480047489516952783218783507817458872249153429828504753223748969861107720006497088628659'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/749a1}[Curve in LMFDB]+  '752':+    7440, -616896:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/763a1}[Curve in LMFDB]+  '765':+    3681, -222129:+      number: '1.549305609619441464383031226402901992498077826751918997441359457593084123669459997256703718216903673'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/765c1}[Curve in LMFDB]+  '768':+    1120, -37376:+      number: '1.917822833914516790752707960857172755241878491160205894366367916775288821397528636781377336804675823'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/768a1}[Curve in LMFDB]+    124288, 43816960:+      number: '1.896242996906413790479142726048944122274596057759126613145535791472811519834739787935903639093776212'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/768b4}[Curve in LMFDB]+    4480, -299008:+      number: '2.382993001998168459286572361070333514833341480090239962058127450417123070743785635736406120487033576'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/768g2}[Curve in LMFDB]+    124288, -43816960:+      number: '2.307543949185620371507746881974388899359713042631815458637920556573725847090425389235099682977344045'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/768h4}[Curve in LMFDB]+  '770':+    40681, -7842421:+      number: '1.347640114655905484129847696849005214101338915129208463804311228818789913783020446083146648487689908'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/770d2}[Curve in LMFDB]+    1003641, 1005466419:+      number: '1.775338291431390399160652626764173598517532420050063040565979016138816214843099058705056891912010242'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/770e3}[Curve in LMFDB]+    1253569, 1363761503:+      number: '2.351164646914129920455095553093198601126321033227462268387584403605688168402242025118130860217295242'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/770f4}[Curve in LMFDB]+  '774':+    25877241, -131652296973:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/775a1}[Curve in LMFDB]+  '776':+    1488, -57024:+      number: '2.122951551238015818107053167531726832127950588288361908761890451589600683271883137962033058377313210'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/776a1}[Curve in LMFDB]+  '777':+    198913, -88714529:+      number: '1.239911689697929663438465860051777514408433097715907795240831034571505973980677917926623170196139635'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/777d4}[Curve in LMFDB]+    125353, -20228725:+      number: '2.816753981850261311758059038368547288042320465582686762560714640458435220773262414579303909900204615'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/777e3}[Curve in LMFDB]+    16, -2008:+      number: '1.465336502859868951031414632509217425025415425417253223711666663814743505886146761552267468742513781'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/777f1}[Curve in LMFDB]+    -416, -294904:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/784i2}[Curve in LMFDB]+    102754960, 1041607714112:+      number: '1.750977546419111751100190589489613700213431544511055730681011529398946486781890253583728860012947202'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/784j6}[Curve in LMFDB]+  '786':+    409, -8189:+      number: '1.451856704380891185678961351869233398842110351496521091957889233227432732338866979095534310653889242'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/786a1}[Curve in LMFDB]+    13513, -1570949:+      number: '1.445755446504625185231957861504976414605199472811210789706916562533378989979223758175982953640435794'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/786b1}[Curve in LMFDB]+    -58391, -5721319925:+      number: '1.723761487056717612802127464052385849403776212015662733709010419812818804612105460355134643232396817'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/786c1}[Curve in LMFDB]+    4921, 343187:+      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HREF{https://www.lmfdb.org/EllipticCurve/Q/786l1}[Curve in LMFDB]+  '790':+    20401, -2913769:+      number: '2.440228380487097837681055961714763169035958142983592143808352439910291704132811272167055004413509210'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/790a2}[Curve in LMFDB]+  '791':+    202497, 91122975:+      number: '1.652678213211122957975904337485386500581876033754944813987678510615303340206719338570714509693943862'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/791c3}[Curve in LMFDB]+  '792':+    32400, -5458752:+      number: '2.198498767250996643979167619460463886163611917548671485227488134072441232525758991021856810918283609'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/792a2}[Curve in LMFDB]+    3600, 202176:+      number: '2.202669919486702838282783469873998769099893811670244786973729742193017977313194862620541141906907330'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/792c2}[Curve in LMFDB]+    204048, 92159424:+      number: '2.118149456609092544531306201523794220532381628339544715439658326995674392313679483764564618914391737'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/792d3}[Curve in LMFDB]+  '793':+    777, 21627:+      number: '2.744383941599465230453587478810678887730522157821642951079954879213931391609337566235987967802968700'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/793a1}[Curve in LMFDB]+  '794':+    2737, -143209:+      number: '2.980026041291823249989915224815501785665512217583031143888679010829381643767695620691574046684259696'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/794b1}[Curve in LMFDB]+    -191, 3871:+      number: '2.616362490982620591724306499440683802764267638053318235400178025869027648675022314056037617576388437'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/794c1}[Curve in LMFDB]+    13505905, 49634715383:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/800i1}[Curve in LMFDB]+  '801':+    1440, 77544:+      number: '2.040069356412762667078270502687311055231750978146536389841576911698140741076982440318882414533695838'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/801c1}[Curve in LMFDB]+    441, 14067:+      number: '2.705073253734314106805644591835256424059976615820117634948733155411199926197684245345526847428281350'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/801d1}[Curve in LMFDB]+  '804':+    65920, 16976512:+      number: '2.003853635401804722808792841568840097064388479839333432050162482286315206602912834204640134389793433'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/804b1}[Curve in LMFDB]+    592, -17216:+      number: '1.878975854949707556375193730449134157564029668717727568957589510096045301253302323978389762374375506'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/804c1}[Curve in LMFDB]+    -4016, -6976:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/816i1}[Curve in LMFDB]+    1936, 54080:+      number: '2.306832367223596058503644426905451466093782824736608845090011295721812718882255833950105903429444483'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/816j1}[Curve in LMFDB]+  '817':+    799168, -714489976:+      number: '1.490704206948285487345233131321122277147739653258167656088487231129888550956367777715402500953095304'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/817b1}[Curve in LMFDB]+  '819':+    2025, 72171:+      number: '2.712968385992061465297898298908860796723531738200150057012429544585887737476579293347166633777100811'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/819a1}[Curve in LMFDB]+    225, -2673:+      number: '1.541048114170301171230961003194243770931727477235763140697958958574482226964056674576624921351511302'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/819b1}[Curve in LMFDB]+  '822':+    169, 6571:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/825c1}[Curve in LMFDB]+  '827':+    480, -10584:+      number: '1.322229248192085409992455442959691121434422676324161818769676670743464014919507029796284167667639230'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/827a1}[Curve in LMFDB]+  '828':+    16848, -419904:+      number: '2.179270849646980899192876598463368946774922974200507043091212369403766533520972088626672955054852292'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/828b2}[Curve in LMFDB]+    432, 23328:+      number: '2.318107358204648340898616001842873832665759379829230712868683245890700816824708139151215712398772922'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/828c1}[Curve in LMFDB]+  '829':+    192, 2376:+      number: '1.205700771301883597897308310909724099454356943864868314062530307471610390314347748378099656395565010'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/829a1}[Curve in LMFDB]+  '830':+    536881, -398023721:+  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HREF{https://www.lmfdb.org/EllipticCurve/Q/836a1}[Curve in LMFDB]+  '840':+    83344, -22651712:+      number: '1.961117216474925426483255616934285277575040089138183936467146759228681888856876233191917130354211090'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/840a3}[Curve in LMFDB]+    21904, -3238208:+      number: '1.986616442958052713452247327643532667320971386278447610888393045316882440069437331844162217292371143'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/840e4}[Curve in LMFDB]+    503056, 356791744:+      number: '2.072941408123883849846248622586098170023218479269980204198635363567629508755309329956417819325675816'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/840f5}[Curve in LMFDB]+    139024, -51830848:+      number: '2.454735775363240926897284345815930679828891750464512010028404612768611205836543588627705199544848088'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/840h3}[Curve in LMFDB]+  '842':+    457, 9467:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/858f1}[Curve in LMFDB]+    2209, -109169:+      number: '2.654989636584864141350128823598520913424349246374805169225805718840545657663820170853783304401526965'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/858g1}[Curve in LMFDB]+  '861':+    -33911, 55670651:+      number: '2.981720183782841091768291293524375076932514585439793886142676624070603881690092186190550144971815455'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/861b1}[Curve in LMFDB]+    -141167, -15863833:+      number: '1.961297633284082955180786380840010799646975123911190482293332521949742760205047317062144138237214363'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/861c1}[Curve in LMFDB]+    337, -12601:+      number: '1.644696771204949445732542563598158855105779586630854547082165911347589147025602936503505743830960586'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/861d1}[Curve in LMFDB]+  '862':+    -71, 1619:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/864a1}[Curve in LMFDB]+    1152, -41472:+      number: '2.365219515134811455946502274206649166308796518593069953738292033432981118731926939107507166341493962'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/864b1}[Curve in LMFDB]+    -1152, 13824:+      number: '2.195372377347907063035998417631919036303074257383027633107213703057804814072268436881753099130461010'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/864c1}[Curve in LMFDB]+    1296, 139968:+      number: '2.307980675007542426468150926608792499592792278506899204908670323031315140516825951915025063955905818'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/864j1}[Curve in LMFDB]+    -1152, -13824:+      number: '2.162184030799694402211147926065769521707047148036107020449378256325948224683692566420582394928824958'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/864k1}[Curve in LMFDB]+    10368, -1119744:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/885c1}[Curve in LMFDB]+    927856, 893749544:+      number: '1.508377254774809756639582734128428022463064139779738179077555102404350406804020517280193129476098967'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/885d2}[Curve in LMFDB]+  '886':+    681, -17685:+      number: '1.597000161328680365271635840932015327607032540578604013093773073929698632878056108654957439523476638'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/886a1}[Curve in LMFDB]+    57721, -13867597:+      number: '1.445245818948008067910990635937188839470414135060368285750436669126208764779753038713143119898114208'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/886b1}[Curve in LMFDB]+    11586705, -39437606457:+      number: '3.017829239918184180854126545337856270117425246657901462418950460787333771564468571969133892027390685'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/886d1}[Curve in LMFDB]+    177, -5481:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/897c3}[Curve in LMFDB]+    82827865, 687298565123:+      number: '3.075651664015415762858875891017674043392553049202856071940994176847026429742344889650383127809446609'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/897d2}[Curve in LMFDB]+    241802497, -3760028805025:+      number: '1.869951453996752048293118389042612316993118264341298241831724823908109582730369547978732671372196175'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/897e4}[Curve in LMFDB]+    3121, 171575:+      number: '1.626467660829375912223205842976264447113445644427606673248938843119916333462135700265751851783492633'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/897f2}[Curve in LMFDB]+  '898':+    9673, -951301:+      number: '1.912861425743332523924807827461795995555603210701963416066990691275949408647536818302295896577933971'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/898a1}[Curve in LMFDB]+    193, 991:+      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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/901f1}[Curve in LMFDB]+  '902':+    114313, -66969253:+      number: '1.565721606272218534090894430628460373744089738651749444993483490304991241386451186308345930910404176'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/902a1}[Curve in LMFDB]+  '903':+    -320, 8:+      number: '2.330143411577899793315176758161721080669203720157555623745129974649461891236199598374948560042714370'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/903a1}[Curve in LMFDB]+  '904':+    1680, -67392:+      number: '2.250994287688570259182245839893285254707109356423010964385080140529660417741636213185567650581170465'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/904a1}[Curve in LMFDB]+  '905':+    889, -26477:+      number: '3.282602625601363880535762579618544364039309934496284955194290983654538882122889581734403936004299500'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/905a1}[Curve in LMFDB]+  '906':+    -162935, 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/910c4}[Curve in LMFDB]+    1401, 46899:+      number: '1.876485485010836773541808240592654339765790931993482966334832038273833787006437863463316135627623788'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/910d1}[Curve in LMFDB]+    1627089, -1910047257:+      number: '3.017472136587942414393825872736294161232675574318748469363993324220801917597885460299158638924531794'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/910f1}[Curve in LMFDB]+    1569, -63153:+      number: '2.176707344269038183325150483150975781865384496088634395890321148592056201835200789858911326415823480'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/910g1}[Curve in LMFDB]+    9409, -5106977:+      number: '2.761118814867871445349300575666148494856447295207717554667707860480293328866960056038100302800599962'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/910h1}[Curve in LMFDB]+    270001, 130873751:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/918c1}[Curve in LMFDB]+    1305, -79677:+      number: '1.746340087787797854549960464353597114432698387561634142868521998958136404504761476987987768067577090'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/918e2}[Curve in LMFDB]+    11097, 1932579:+      number: '1.669087984198432631083794107603410501330904218624752220095152073998248694363837645250285607732262897'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/918f2}[Curve in LMFDB]+    4113, -290169:+      number: '2.962688521499788176790246942781679463058407187827509023826772653619642302780770939980247890867073835'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/918h1}[Curve in LMFDB]+    11745, 2151279:+      number: '3.051698609474677273410745691187416878707996138665125199190811898945409886396496440261570453294225470'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/918i2}[Curve in LMFDB]+    20817, -18196569:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/920d1}[Curve in LMFDB]+  '921':+    1120, -42328:+      number: '2.348467329545085977795356240091957485187572036192876879805745646937667302535136265761234327079275460'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/921b1}[Curve in LMFDB]+  '924':+    -656, -917216:+      number: '2.008232906530232280507237565965099692999626926304344103810193760674651211525805887270765120713628373'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/924b1}[Curve in LMFDB]+    -656, 5536:+      number: '2.047465398626966199247726834632820393927108180113976761135312081333337819769015677528257591909080745'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/924c1}[Curve in LMFDB]+    1072, -41824:+      number: '2.410469514686515135304418073557193503396302819986034608543231041520029094027395440589545430103025170'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/924e1}[Curve in LMFDB]+    827632, -760973536:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/936g2}[Curve in LMFDB]+    1440, -25056:+      number: '2.287784231942756234610418182385051212749278936127321277179179974763583596668006159624889158112949075'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/936h1}[Curve in LMFDB]+  '938':+    169, 1259:+      number: '2.011461391883117553862786465988929414852409265773651550712497561001361304034409860576833781067486575'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/938a1}[Curve in LMFDB]+    532057, -386743645:+      number: '1.516916932992510647392263038475755881466899805905326030162580428351315294151060026032254639345646586'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/938b2}[Curve in LMFDB]+    2689, 96319:+      number: '2.790468085944702279324902492347036332104456939874432857849606466294003387552006593212695444133027222'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/938c1}[Curve in LMFDB]+  '939':+    15424, 8574184:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/944k1}[Curve in LMFDB]+  '946':+    12505, 1432547:+      number: '1.973673615631385138606485607836273383635776566760554284024199560234842086773543414399043765946815138'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/946b2}[Curve in LMFDB]+  '950':+    84025, 26961875:+      number: '2.001684550909752600571921530788237946737524012962417010069447958062799854310499292797900967252459809'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/950a2}[Curve in LMFDB]+    102625, 264451375:+      number: '2.872800178985547021071305850964425873961297106356381851723857759155098610963229228255530029107187890'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/950e3}[Curve in LMFDB]+  '954':+    4617, 573723:+      number: '1.906783915838992868639580405385110385102073077474761609672148988835684140802372314608040516160702515'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954a1}[Curve in LMFDB]+    -855, -178389:+      number: '1.854025479321139570120769679496529375893596035815303265512236100467370127442272079836237739580578350'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954d1}[Curve in LMFDB]+    10628505, -34650402237:+      number: '1.755749806830130106664449405652899749973065147234847699662025884279658739217507163491954127228581524'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954e2}[Curve in LMFDB]+    3897, -658989:+      number: '1.692469245709882324657603667181480489295756054678313417308870812678377228807605875340812211705363988'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954f2}[Curve in LMFDB]+    513, -21249:+      number: '2.984618313811460029235485619320924681744934492981755824355657767579365645266764829794273041293817795'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954h1}[Curve in LMFDB]+    11889, -1297161:+      number: '3.068246048101763246449111283100088038446164926205308365215769120441003145520545318967901787494578585'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954i1}[Curve in LMFDB]+    -61119, 2822175:+      number: '2.924061139949326703044341857441793684197629280139769844932910272523099500376603158778631757478707756'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/954j1}[Curve in LMFDB]+  '960':+    30784, -5401088:+      number: '2.050320025029703742120394439685299049103616351170531657839658836873037897528151761083867135361876540'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/960a4}[Curve in LMFDB]+    614464, 481664512:+      number: '2.057865951579782311673898555411919446262444958919455607777186505213668071121002894320010613706288668'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/960b5}[Curve in LMFDB]+    95296, 16377344:+      number: '2.646190253761945866138289424617506026414374431670334625279473027359607141881782732375249293191513025'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/960h3}[Curve in LMFDB]+    10816, 1114624:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/968a1}[Curve in LMFDB]+    528, -19008:+      number: '2.501048243337451659063785830852155974318190667889067636124371499110781164895068728028625354217153297'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/968d1}[Curve in LMFDB]+    23232, 4599936:+      number: '1.438483625348719947271352214245983054359017919776573373781311494737090390322495592438725407683622216'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/968e1}[Curve in LMFDB]+  '972':+    0, 209952:+      number: '2.376186600928341391336514705716590840853112391495015430294395468672621172590343853444183792611450365'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/972c2}[Curve in LMFDB]+    0, 839808:+      number: '2.314463946866193504915874328021740024222900283242737048851957331684254448841694749983571997389801965'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/972d2}[Curve in LMFDB]+  '973':+    545920, 403348616:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/974h1}[Curve in LMFDB]+  '975':+    156000025, 1948439843875:+      number: '2.600292514107652726981083430667815133951379159648207927059841960376179547121955809842757549670921033'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/975a7}[Curve in LMFDB]+    400, 73000:+      number: '1.195254741988040393494489019165718480817209918319922355973922683351179544856548030981870908015980736'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/975b1}[Curve in LMFDB]+    4000, -3275000:+      number: '1.883255106322443495580610064568768858678175210755476538464022956824616752027953005997866509971022261'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/975f1}[Curve in LMFDB]+    2185, 106235:+      number: '3.159386537166898988903185551572788921308119011691202178547452299130986280682408559433402658120464059'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/975h1}[Curve in LMFDB]+    228400, -112087000:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/978e1}[Curve in LMFDB]+    5809, -436841:+      number: '2.812022555852627603784659057835084736714897027213421505675474067606008514394617474148922149101813387'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/978f1}[Curve in LMFDB]+    6337, -133921:+      number: '3.253706468317264116596484455350552270681526901075993752246160226827434216221158030757683918478992827'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/978g1}[Curve in LMFDB]+  '979':+    703033, 589457395:+      number: '3.355135070395608315850059421993927468595629048545480984454096202342153569814330571345577775319448433'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/979b1}[Curve in LMFDB]+  '980':+    -896, 6272:+      number: '2.597624875407719854139455092338850658115267569527353770995997827151556418211325994035523583847120393'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/980c1}[Curve in LMFDB]+    1894144, -2606887808:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/994f3}[Curve in LMFDB]+    2507425, 3959527823:+      number: '2.620766125999758354752282788388729988185454450256429852888841472071795320573333926684891353963710538'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/994g4}[Curve in LMFDB]+  '995':+    736, -21016:+      number: '2.512696115043261909666040671744761578629033832196904681645158175490860804142149922801178462890242056'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/995b1}[Curve in LMFDB]+  '996':+    -7856, 7619264:+      number: '2.586748790404683894650556931553674751442371684703206418958798821660085291835646930232939483618010276'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/996b1}[Curve in LMFDB]+    592, -34624:+      number: '2.530955784690117984717113833178885583876918501207957415695998535854990528115746785354990041019412911'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/996c1}[Curve in LMFDB]+  '997':+    880, -26072:+      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