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+Title: Real periods of elliptic curves over $\mathbb{Q}$ of rank $1$+Definition: The real period $\omega_1$ of an elliptic curve over $\mathbb{Q}$ can+ be defined as $\Omega_E$ if $E(\mathbb{R})$ is connected and $\Omega_E/2$ if $E(\mathbb{R})$+ has two components, where $\Omega_E = \int_{E(\mathbb{R})} |\omega|$, $E(\mathbb{R})$+ is the set of real points of $E$, and $\omega$ is the invariant differential $dx/(2y+a_1+ x+a_3)$ of a globally minimal model of $E$. This table lists $\omega_1$ 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-Omega: Note that some authors refer to $\Omega$ as the real period.+ comment-period-lattice: The period lattice $\Lambda$ of $E$ is the lattice of periods+ of $\omega$. In terms of $\Lambda$, $\omega_1$ is the smallest positive real+ number in $\Lambda$.+ 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.period_lattice().real_period() \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/+ 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+- period+Data properties:+ type: R+ complete: 'no'+ sources:+ - CITE{LMFDB} (list of curves with bounded conductor)+Display properties:+ number-header: $\omega_1$+ group parameters:+ - - N+ - - c4+ - c6+Numbers:+ '37':+ 48, -216:+ number: '2.993458646231959629832009979452508177797583791370132985340523378563250356986682904120394067397051473'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/37a1}[Curve in LMFDB]+ '43':+ 16, -280:+ number: '5.468689529967583824379367719389521994047012025901253072823182907585129101782985208260515786727504499'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/43a1}[Curve in LMFDB]+ '53':+ -15, -297:+ number: '4.687641048878882527153857398941094205459259302339152566213864992624623616817264574350388730783406337'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/53a1}[Curve in LMFDB]+ '57':+ 112, -1304:+ number: '5.555504521372504322117427034876035947763615053347195870996358910752699118737266642650678946251572888'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/57a1}[Curve in LMFDB]+ '58':+ 57, -621:+ number: '5.465591698886377099725367343253006350591721193335446655452993889116589104674848158796251808164965857'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/58a1}[Curve in LMFDB]+ '61':+ 97, -1009:+ number: '6.133193148394534210950116046043538821622639584519625668293660829722406949690854561533871070832462208'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/61a1}[Curve in LMFDB]+ '65':+ 49, -73:+ number: '2.691426735285900497057611764711328934402499316891907017711918353921632669300415193675898078110522461'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a1}[Curve in LMFDB]+ -191, -577:+ number: '2.691426735285900497057611764711328934402499316891907017711918353921632669300415193675898078110522461'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a2}[Curve in LMFDB]+ '77':+ -96, -216:+ number: '3.199781361594871868047019602042060604617554336941184790355619473118018621018361204831732498393026622'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/77a1}[Curve in LMFDB]+ '79':+ 97, -881:+ number: '2.975400176303931568259940307915088021031687524437701138230051247441063016344827595016310295686602678'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/79a1}[Curve in LMFDB]+ '82':+ 73, -325:+ number: '2.594497520185804003794847182402125513158897950725662310340701090183689771942491317289501943928085641'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a1}[Curve in LMFDB]+ 553, 12779:+ number: '1.297248760092902001897423591201062756579448975362831155170350545091844885971245658644750971964042820'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a2}[Curve in LMFDB]+ '83':+ -47, 199:+ number: '3.374468900093953111016888416258331129968548769179863846710407168225020550103915315593556219681194756'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/83a1}[Curve in LMFDB]+ '88':+ 192, -3456:+ number: '4.252529533148360025344953145819150589029313293218281496860557430916022664335926915202396354010098819'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/88a1}[Curve in LMFDB]+ '89':+ 49, -521:+ number: '5.552626564576800870499806749512386566164791615175012603962238094024069898029439008348528158302885988'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/89a1}[Curve in LMFDB]+ '91':+ -48, -216:+ number: '3.897260937051723613244135704620435723954785311057037863253059885941609287944753870545001217978789456'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91a1}[Curve in LMFDB]+ 352, -6616:+ number: '6.039491536484354404108634475119450596815461652974813983988980413802537740647808952345077995584838754'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b1}[Curve in LMFDB]+ -608, -32824:+ number: '2.013163845494784801369544825039816865605153884324937994662993471267512580215936317448359331861612918'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b2}[Curve in LMFDB]+ 5632, 1041704:+ number: '0.671054615164928267123181608346605621868384628108312664887664490422504193405312105816119777287204306'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b3}[Curve in LMFDB]+ '92':+ 48, -864:+ number: '4.707087761230185561883752117570743593462057330167070068824613438056726867305637191258198752375198472'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/92b1}[Curve in LMFDB]+ '99':+ 81, 135:+ number: '2.249226443294137635316889299942488960045410636530488459575932287022023490301683191420718686921660786'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a1}[Curve in LMFDB]+ 801, -22545:+ number: '2.249226443294137635316889299942488960045410636530488459575932287022023490301683191420718686921660786'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a2}[Curve in LMFDB]+ '101':+ 64, 296:+ number: '2.295123605932688042361701837791452186615711522599285080078177188765537507677660436932682435551685784'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/101a1}[Curve in LMFDB]+ '102':+ 121, -845:+ number: '2.363931911770732755998877979278342258474116987300178121811990004346331196594694392319397718606537725'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a1}[Curve in LMFDB]+ -359, -5885:+ number: '2.363931911770732755998877979278342258474116987300178121811990004346331196594694392319397718606537725'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a2}[Curve in LMFDB]+ '106':+ 361, -6965:+ number: '5.012882034334799229940715055896673026174678230359860281774842607354818506041047131121034413634904431'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/106b1}[Curve in LMFDB]+ '112':+ 16, -3520:+ number: '3.373212196645123005695342214501773844470922050192867201055359333724905594660474950163784070987975278'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a1}[Curve in LMFDB]+ 1936, -84160:+ number: '1.686606098322561502847671107250886922235461025096433600527679666862452797330237475081892035493987639'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a2}[Curve in LMFDB]+ '117':+ -207, -6345:+ number: '2.640325126328303469607921401381348402888006199809047558588745815320188603974991916367964153502290211'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a1}[Curve in LMFDB]+ 1953, -74385:+ number: '1.320162563164151734803960700690674201444003099904523779294372907660094301987495958183982076751145105'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a2}[Curve in LMFDB]+ 8433, 701271:+ number: '0.660081281582075867401980350345337100722001549952261889647186453830047150993747979091991038375572552'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a3}[Curve in LMFDB]+ 30033, -5204601:+ number: '1.320162563164151734803960700690674201444003099904523779294372907660094301987495958183982076751145105'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a4}[Curve in LMFDB]+ '118':+ -23, -629:+ number: '4.158457218956460352215876894722192784579737156335085841883845643793901295160132421504452792432282822'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/118a1}[Curve in LMFDB]+ '121':+ 352, -6776:+ number: '4.802421321999990295541654866295880553810781551361765397471948917636306162801234293648891605491368982'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b1}[Curve in LMFDB]+ 42592, 9018856:+ number: '0.436583756545453663231059533299625504891889231941978672497449901603300560254657663058990145953760816'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b2}[Curve in LMFDB]+ '122':+ -119, -37:+ number: '2.966099272909929034788914529873225783011326685729408910525857077823588564891839830133954731559404226'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/122a1}[Curve in LMFDB]+ '123':+ 496, -11800:+ number: '3.995082693567343155912319144447957819875378675545427479885349776532744814170295170411733273055343072'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a1}[Curve in LMFDB]+ -944, 774440:+ number: '0.799016538713468631182463828889591563975075735109085495977069955306548962834059034082346654611068614'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a2}[Curve in LMFDB]+ -32, 424:+ number: '2.987419159268222740122297016417751172539204806333914825345527151864266858272434280222312779159338250'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123b1}[Curve in LMFDB]+ '124':+ 112, -1504:+ number: '4.933327233418895458475460185157385478096889034329010945116432198003081307285223587978288416899054662'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a1}[Curve in LMFDB]+ -848, 14624:+ number: '1.644442411139631819491820061719128492698963011443003648372144066001027102428407862659429472299684887'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a2}[Curve in LMFDB]+ '128':+ -32, -640:+ number: '4.036461653911667430313646650901063587201822505260896726618743718724215157413323939265677463803550193'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a1}[Curve in LMFDB]+ 448, -8704:+ number: '2.018230826955833715156823325450531793600911252630448363309371859362107578706661969632838731901775096'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a2}[Curve in LMFDB]+ '129':+ 928, -28376:+ number: '4.472804567209199553126171081584883019018329792246718719120887970912512003694606890246528019716832901'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/129a1}[Curve in LMFDB]+ '130':+ 1561, -61309:+ number: '1.892114499683315602751411576222744437394967675318764899078991429111468743173181542047695743815482641'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a1}[Curve in LMFDB]+ 601, -135901:+ number: '1.892114499683315602751411576222744437394967675318764899078991429111468743173181542047695743815482641'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a2}[Curve in LMFDB]+ 9961, 954251:+ number: '0.630704833227771867583803858740914812464989225106254966359663809703822914391060514015898581271827547'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a3}[Curve in LMFDB]+ -5399, 3631499:+ number: '0.630704833227771867583803858740914812464989225106254966359663809703822914391060514015898581271827547'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a4}[Curve in LMFDB]+ '131':+ -32, -440:+ number: '4.171609276343922361902263122287639828547120969852975448255323223162611118949512107645350237343601227'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/131a1}[Curve in LMFDB]+ '135':+ 144, -3672:+ number: '3.781424660153524680493269670669053245492993131528414359117628970185718193291775194468831200644735561'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/135a1}[Curve in LMFDB]+ '136':+ 208, -1216:+ number: '1.943552739904767819466433617192630169458567260577460411723091948768874742467063362421573680086851820'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a1}[Curve in LMFDB]+ -752, -9280:+ number: '1.943552739904767819466433617192630169458567260577460411723091948768874742467063362421573680086851820'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a2}[Curve in LMFDB]+ '138':+ 73, -1349:+ number: '4.458360268301948054469677134219218056655771085271468021949588597188418593101512373543592335967252603'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a1}[Curve in LMFDB]+ 1513, -58805:+ number: '2.229180134150974027234838567109609028327885542635734010974794298594209296550756186771796167983626301'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a2}[Curve in LMFDB]+ '141':+ 592, -5464:+ number: '1.488252012407287807582787175573717653085450792128394575121048644607812934730367412100385341182424970'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141a1}[Curve in LMFDB]+ 64, 136:+ number: '2.364764016653375869709558252371600939120035038763479937745233256273390925476051966585397919577811112'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141d1}[Curve in LMFDB]+ '142':+ 561, -10665:+ number: '1.732166297392862308094253515493563773113772513819571126793874021248578706348893733679805795061321702'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142a1}[Curve in LMFDB]+ 73, 379:+ number: '2.215236887740590306687601216791236452705535598841791256230182035777111614255272865733257380193960545'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142b1}[Curve in LMFDB]+ '143':+ 64, 1864:+ number: '1.969923164572070403021684838070105830213505445921809941006749131349419097960053902678583128790447934'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/143a1}[Curve in LMFDB]+ '145':+ 129, -1377:+ number: '2.845789549036778466181751464024619751244520551550945595252532130884636460150303335777475584777036781'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a1}[Curve in LMFDB]+ -111, -5913:+ number: '2.845789549036778466181751464024619751244520551550945595252532130884636460150303335777475584777036781'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a2}[Curve in LMFDB]+ '148':+ 256, 640:+ number: '1.692497078836885746201820966449172867603538365118339452780109088009238164935761095181640428621971266'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/148a1}[Curve in LMFDB]+ '152':+ 64, -2944:+ number: '3.645646898976068294882102494440423891118101399915399883205940182066553027768490266016370909859201619'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/152a1}[Curve in LMFDB]+ '153':+ 144, -1944:+ number: '5.086635558365414099270296559971992049299608476966219388817382281008799013917095278044411066471212770'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153a1}[Curve in LMFDB]+ -288, -23544:+ number: '2.254757549656745773841925755248685725790356239389297230734178697170731849607559300511110839945601461'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153b1}[Curve in LMFDB]+ 25632, -4105944:+ number: '2.254757549656745773841925755248685725790356239389297230734178697170731849607559300511110839945601461'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153b2}[Curve in LMFDB]+ '154':+ 1401, -53325:+ number: '3.542353068865573713239908988962226200133660435008452737967698244712764848781759090226266169122888275'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/154a1}[Curve in LMFDB]+ 22521, -3379725:+ number: '1.771176534432786856619954494481113100066830217504226368983849122356382424390879545113133084561444137'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/154a2}[Curve in LMFDB]+ '155':+ -464, -8216:+ number: '2.216511078653664235627393801250704818287279042397664819393846560277117059064864913944716712114253869'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155a1}[Curve in LMFDB]+ 40336, 8116264:+ number: '0.443302215730732847125478760250140963657455808479532963878769312055423411812972982788943342422850773'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155a2}[Curve in LMFDB]+ 64, -728:+ number: '5.345369000927747585424530620649437381089496652219563567659774886638771617297711649975064709807976221'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155c1}[Curve in LMFDB]+ '156':+ 256, -3680:+ number: '2.269120187751462823950117877421806501089532540361998175531873543723694514015518838939897670381670102'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a1}[Curve in LMFDB]+ 976, 26560:+ number: '1.134560093875731411975058938710903250544766270180999087765936771861847257007759419469948835190835051'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a2}[Curve in LMFDB]+ '158':+ 417, -6129:+ number: '1.790854386236044233132289287237428379244942323296201826061581067258823614625750062413035519511370457'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158a1}[Curve in LMFDB]+ 169, -2069:+ number: '2.668792313716978108661755001221836922014033466603902337524365938994934191537808354162970336697857607'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158b1}[Curve in LMFDB]+ '160':+ 304, -5248:+ number: '2.725852868189732449034521085599758140568924552084527275295369376047845329501702495770933952948495344'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/160a1}[Curve in LMFDB]+ 64, -13312:+ number: '2.725852868189732449034521085599758140568924552084527275295369376047845329501702495770933952948495344'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/160a2}[Curve in LMFDB]+ '162':+ 297, -5589:+ number: '4.395442762850868880030486622030784963050489098190928292768848327122055889551249142604143577404073808'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/162a1}[Curve in 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HREF{https://www.lmfdb.org/EllipticCurve/Q/170a2}[Curve in LMFDB]+ '171':+ -288, -216:+ number: '2.382777903328405204197549261624685125705319955289742042939774210303779616566634785488292133999248257'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/171b1}[Curve in LMFDB]+ 4032, -272376:+ number: '2.382777903328405204197549261624685125705319955289742042939774210303779616566634785488292133999248257'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/171b2}[Curve in LMFDB]+ 332352, -191600856:+ number: '2.382777903328405204197549261624685125705319955289742042939774210303779616566634785488292133999248257'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/171b3}[Curve in LMFDB]+ '172':+ 640, -16768:+ number: '4.009627325997638701774244871376477301774029623019975682838665355283894128556032815429067109595257260'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/172a1}[Curve in LMFDB]+ -3200, -49024:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/192a4}[Curve in LMFDB]+ '196':+ 112, -224:+ number: '2.180459264412154669596801914057548016288126150469810072027502952419215096520421752081351530749692204'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/196a1}[Curve in LMFDB]+ 6832, -564704:+ number: '2.180459264412154669596801914057548016288126150469810072027502952419215096520421752081351530749692204'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/196a2}[Curve in LMFDB]+ '197':+ 240, -3672:+ number: '2.834780211126514972146594963552994737805388893792146707127123062990426263957686909955656216041607027'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/197a1}[Curve in LMFDB]+ '198':+ 873, 459:+ number: '1.266740964752100161621565949325922337908526721915118866271312137819626369603386535223844576097251903'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a1}[Curve in LMFDB]+ 9513, -924885:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/210d3}[Curve in LMFDB]+ -311, -124613:+ number: '1.792301013173092165377959427577541202279444217062074461462339132331153200112249487486092900349116969'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/210d4}[Curve in LMFDB]+ '212':+ 208, -5696:+ number: '3.570212433323035751973245197075089140913959779502019574757621046246623066751368950825621894155254523'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/212a1}[Curve in LMFDB]+ '214':+ 577, -14689:+ number: '3.901246835821785921827230672147230945384783345825913365485371034997209756471726849897376001651033670'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/214a1}[Curve in LMFDB]+ -71, -109:+ number: '3.434678013239933753392411578496953793877224707305542082305890292974776182019841940060469157533507105'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/214b1}[Curve in LMFDB]+ 9241, -888445:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/218a2}[Curve in LMFDB]+ '219':+ 304, -5336:+ number: '5.633834698601521190308038402771821302941867680186634333101826862205492858112243722287024271802594841'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219a1}[Curve in LMFDB]+ -128, -1144:+ number: '3.057516148440607586604412884508566318355524273155328645506364473015513790082560029075459188477569787'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219b1}[Curve in LMFDB]+ 1312, 65384:+ number: '1.019172049480202528868137628169522106118508091051776215168788157671837930027520009691819729492523262'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219b2}[Curve in LMFDB]+ 3961, 233875:+ number: '0.795465061775114134199282787082507124782661258449984704736777591060868895420013852086379248681695382'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219c1}[Curve in LMFDB]+ 62281, 15542875:+ number: 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in LMFDB]+ '224':+ -80, 512:+ number: '2.905679632395703579040129872911368774515127475467382232341834394075304074135289158303866323447888939'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/224a1}[Curve in LMFDB]+ 400, 4544:+ number: '1.452839816197851789520064936455684387257563737733691116170917197037652037067644579151933161723944469'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/224a2}[Curve in LMFDB]+ '225':+ 0, -1080:+ number: '4.052975759036891761271677653371139428277008598130069814857237304875953461427734590685443245796667777'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225a1}[Curve in LMFDB]+ 0, 29160:+ number: '1.350991919678963920423892551123713142759002866043356604952412434958651153809244863561814415265555925'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225a2}[Curve in LMFDB]+ 3600, -221400:+ number: '2.695955989462525726704422520090524880219431612248204596662134471952636403802089385777501382584300013'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225e1}[Curve in LMFDB]+ -18000, 10665000:+ number: '0.539191197892505145340884504018104976043886322449640919332426894390527280760417877155500276516860002'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/225e2}[Curve in LMFDB]+ '226':+ 241, -1225:+ number: '1.844215400746538890447240088801469316562577100475328409105539307856045409431321799592973532298559371'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/226a1}[Curve in LMFDB]+ 2161, 99575:+ number: '0.922107700373269445223620044400734658281288550237664204552769653928022704715660899796486766149279685'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/226a2}[Curve in LMFDB]+ '228':+ -128, -8576:+ number: '2.695104208638515823682741225014363053952925906196799884450748332632504537292649250944927328794194408'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/228b1}[Curve in LMFDB]+ '229':+ 97, 719:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/244a1}[Curve in LMFDB]+ '245':+ 336, -10584:+ number: '3.274432256943466326068026685327443305575424473351560609769352092893694328034290230013675849639605864'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245a1}[Curve in LMFDB]+ 3136, 194824:+ number: '0.833428397778795953027706556359476166070500500803672851315884573949142560357586273276966309669197464'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c1}[Curve in LMFDB]+ -20384, -496664:+ number: '0.833428397778795953027706556359476166070500500803672851315884573949142560357586273276966309669197464'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c2}[Curve in LMFDB]+ 308896, -179592056:+ number: '0.833428397778795953027706556359476166070500500803672851315884573949142560357586273276966309669197464'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c3}[Curve in LMFDB]+ '246':+ 3193, -179405:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/254a2}[Curve in LMFDB]+ 1172737, 1269991871:+ number: '0.190932435117259497973185676370531583849101446370675030015908221733444450392214972570338648093796683'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/254a3}[Curve in LMFDB]+ 249, 3699:+ number: '1.588258453187812955896492843650255989083119455630491625250559573597081638928099912282604170027631575'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/254c1}[Curve in LMFDB]+ '256':+ 160, -1792:+ number: '2.518927046809653438580761118976992424274376098991994300662262668710628355844002018411924236488608700'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/256a1}[Curve in LMFDB]+ 640, 14336:+ number: '1.259463523404826719290380559488496212137188049495997150331131334355314177922001009205962118244304350'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/256a2}[Curve in LMFDB]+ 96, 0:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/272a1}[Curve in LMFDB]+ 2320, 107072:+ number: '0.907991509356351676250681304389431159989963284729999205467396656240230156863041163647748105597499899'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/272a2}[Curve in LMFDB]+ 528, 5184:+ number: '1.372869559044876836017093940190054535672087238618955785346371700729646713578297417894515265500991552'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/272b1}[Curve in LMFDB]+ 4368, -285120:+ number: '1.372869559044876836017093940190054535672087238618955785346371700729646713578297417894515265500991552'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/272b2}[Curve in LMFDB]+ 69648, -18380736:+ number: '1.372869559044876836017093940190054535672087238618955785346371700729646713578297417894515265500991552'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/272b3}[Curve in LMFDB]+ 528, -768960:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/275a4}[Curve in LMFDB]+ '277':+ -23, 683:+ number: '2.664984853071972253580985211987644969879675723617321240471484499456523842553813057741025573541858878'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/277a1}[Curve in LMFDB]+ '278':+ 49, -7849:+ number: '2.982551617248996217166221529692930202158090757848329255335664396774444894847501456084460072083573478'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/278a1}[Curve in LMFDB]+ '280':+ 64, -3968:+ number: '3.428908275244080127977768959367894978205466912465171007790105280218117732743236408939405868921101901'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/280a1}[Curve in LMFDB]+ 19776, -2865024:+ number: '1.728871393957984657234108993831638488480271779413206057847169746124798431569263299734653467955575073'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/280b1}[Curve in LMFDB]+ '282':+ 721, -23705:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/346b1}[Curve in LMFDB]+ '347':+ -80, 296:+ number: '3.059624736823312416277751409052456494530374911735087675230131608377630844832324199220594671623703168'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/347a1}[Curve in LMFDB]+ '348':+ -80, -1376:+ number: '3.370062466333597728595159013112837445793266654006181031023988918375387335373600553557496860243840627'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/348a1}[Curve in LMFDB]+ 2416, -125920:+ number: '2.724644682803020906172446348786468096064139787700815409149803971535081954609095222393250585241984351'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/348d1}[Curve in LMFDB]+ '350':+ -215, -2645:+ number: '2.686836141938943566888669989611123037940588070168227795925149648581209900880306181346627857456488705'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/350c1}[Curve in LMFDB]+ 2185, 143515:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/432f3}[Curve in LMFDB]+ '434':+ 345, 4131:+ number: '1.497764639905618661906308078710215173959022683966179495603147832017606990526936486099462369752753238'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434a1}[Curve in LMFDB]+ 2265, -104733:+ number: '1.497764639905618661906308078710215173959022683966179495603147832017606990526936486099462369752753238'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434a2}[Curve in LMFDB]+ -1007, -40825:+ number: '1.819663847753864035924681993529580587086480733421203124484204499417785153928559637203697131795673891'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434d1}[Curve in LMFDB]+ 6673, -411769:+ number: '0.909831923876932017962340996764790293543240366710601562242102249708892576964279818601848565897836945'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/434d2}[Curve in LMFDB]+ '437':+ -896, -92024:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/441b2}[Curve in LMFDB]+ -20727, 657531:+ number: '0.787531616134649323174445002088452207268810881485402114979766849432205414553629041961186016611158375'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441c1}[Curve in LMFDB]+ 85113, 5325075:+ number: '0.393765808067324661587222501044226103634405440742701057489883424716102707276814520980593008305579187'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441c2}[Curve in LMFDB]+ 1037673, 1055522475:+ number: '0.196882904033662330793611250522113051817202720371350528744941712358051353638407260490296504152789593'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441c3}[Curve in LMFDB]+ 825993, -746149509:+ number: '0.393765808067324661587222501044226103634405440742701057489883424716102707276814520980593008305579187'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/441c4}[Curve in LMFDB]+ 16596153, 67610032371:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/539d3}[Curve in LMFDB]+ '540':+ -144, -864:+ number: '2.945444933996802584352372144715826695624821771160971216050990001242719671624401906340523382398263056'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540b1}[Curve in LMFDB]+ 2736, -146016:+ number: '2.945444933996802584352372144715826695624821771160971216050990001242719671624401906340523382398263056'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540b2}[Curve in LMFDB]+ 31104, -5505408:+ number: '1.864991599047143218396823777130955045143338177903479534399816563294580054857557504072342478178799290'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540c1}[Curve in LMFDB]+ -72576, -29020032:+ number: '0.621663866349047739465607925710318348381112725967826511466605521098193351619185834690780826059599763'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540c2}[Curve in LMFDB]+ -1296, 23328:+ number: 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LMFDB]+ -240, 1728:+ number: '2.304538641034689586697686262688873284187060398264382589235869618339018961809071958513861939818015466'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/608f1}[Curve in LMFDB]+ '609':+ 25, -2717:+ number: '3.562362107808123212981947649393117290616137406914476263767622921608861370782414864688915734954819157'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609a1}[Curve in LMFDB]+ 1705, -69749:+ number: '1.781181053904061606490973824696558645308068703457238131883811460804430685391207432344457867477409578'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609a2}[Curve in LMFDB]+ 37633, -7816481:+ number: '1.348481551550541103489300581416497258240601085510671342485874870962913076260060346208736189455680135'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b1}[Curve in LMFDB]+ 613873, -480967145:+ number: '0.674240775775270551744650290708248629120300542755335671242937435481456538130030173104368094727840067'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b2}[Curve in LMFDB]+ 625633, -461580785:+ number: '0.337120387887635275872325145354124314560150271377667835621468717740728269065015086552184047363920033'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b3}[Curve in LMFDB]+ 9821953, -30781996001:+ number: '0.674240775775270551744650290708248629120300542755335671242937435481456538130030173104368094727840067'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b4}[Curve in LMFDB]+ 2038513, 2366015959:+ number: '0.168560193943817637936162572677062157280075135688833917810734358870364134532507543276092023681960016'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b5}[Curve in LMFDB]+ -599087, -2048450489:+ number: '0.337120387887635275872325145354124314560150271377667835621468717740728269065015086552184047363920033'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/609b6}[Curve in LMFDB]+ '610':+ 7881, -697221:+ number: 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in LMFDB]+ 196992, 87433344:+ number: '0.298241056405079532048032309041213333420094949607797650037636950752605734971630925048632450425802476'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/612b2}[Curve in LMFDB]+ 2304, -169344:+ number: '2.113455787691032792074014698745915799332852813668266008154938629504347207155493889896396512660212046'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/612c1}[Curve in LMFDB]+ '614':+ 2913, -157329:+ number: '3.823550536722347095571716649339099610724697819204303919106887472946476792660532632140432536720161751'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/614a1}[Curve in LMFDB]+ -1295, 1079:+ number: '1.622018085235292222289981115263649768404035037131023441751879972400559596513021270675502001829774719'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/614b1}[Curve in LMFDB]+ 17905, 2557367:+ number: '0.540672695078430740763327038421216589468011679043674480583959990800186532171007090225167333943258239'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/614b2}[Curve in LMFDB]+ '615':+ 289, 2863:+ number: '1.573814045738673399021934242899588278505008407655790296964183221427243045588374958291997790536531795'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/615a1}[Curve in LMFDB]+ -911, 20503:+ number: '1.573814045738673399021934242899588278505008407655790296964183221427243045588374958291997790536531795'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/615a2}[Curve in LMFDB]+ -3776, 207368:+ number: '1.076689649616772577771544967378273551615298373071535939863322668464449282152736819202379002569155285'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/615b1}[Curve in LMFDB]+ '616':+ -4080, -74304:+ number: '1.259283238546335727176712538262303994593135801956850197604267784071840175461363596385127631036336574'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/616a1}[Curve in LMFDB]+ 17040, -606528:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/618c2}[Curve in LMFDB]+ -15623, 6086771:+ number: '0.599692407062086222868995065739810036646763842494350731577645672639950738565798237768646218656917930'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/618d1}[Curve in LMFDB]+ 975817, 964920059:+ number: '0.199897469020695407622998355246603345548921280831450243859215224213316912855266079256215406218972643'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/618d2}[Curve in LMFDB]+ -47, -4121:+ number: '3.126147258485104580314347099686766754706273965878288381929588370711585705890156775046333040971530785'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/618e1}[Curve in LMFDB]+ 8881, -1223785:+ number: '1.537977518646428579891694229120768045543962115102671850984665124889207280272749170506020748734684002'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/618f1}[Curve in LMFDB]+ '620':+ 4864, -339328:+ number: '3.563610570016773530794463443103080029638371334062554771849465444192040037486397789322356821702195402'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620a1}[Curve in LMFDB]+ -2816, -1274752:+ number: '1.187870190005591176931487814367693343212790444687518257283155148064013345828799263107452273900731800'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620a2}[Curve in LMFDB]+ 50496, -11343456:+ number: '0.987379552231496842675110003097136949894966434414382424285675820245100987223729099241537646859323021'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620b1}[Curve in LMFDB]+ 57936, -7781184:+ number: '0.493689776115748421337555001548568474947483217207191212142837910122550493611864549620768823429661510'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620b2}[Curve in LMFDB]+ -384, -3456:+ number: '2.300292213167310626675947483694362854013664139982459573781589089941122804315898744912147340038260001'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620c1}[Curve in 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HREF{https://www.lmfdb.org/EllipticCurve/Q/624a2}[Curve in LMFDB]+ -224, 10720:+ number: '1.724031988187365945581643840499028169714375024843596204779023810696550202519959975738034729417409245'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624b1}[Curve in LMFDB]+ 2896, 141760:+ number: '0.862015994093682972790821920249514084857187512421798102389511905348275101259979987869017364708704622'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624b2}[Curve in LMFDB]+ 1888, 82016:+ number: '0.953205677495077429953483529619394368004790346481403830960415670117105282749010153340863001978282362'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624f1}[Curve in LMFDB]+ 2128, 59840:+ number: '0.953205677495077429953483529619394368004790346481403830960415670117105282749010153340863001978282362'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/624f2}[Curve in LMFDB]+ 14608, -1722304:+ number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/629c1}[Curve in LMFDB]+ 8193, -1608417:+ number: '1.368658230029470567438841818186198146860329002691717671587166900147981683738014506152607017765183436'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/629d1}[Curve in LMFDB]+ '630':+ -4311, -396117:+ number: '1.261792356048605603294251188652101163054214876467399411749121596976329068744024049680917898235061503'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d1}[Curve in LMFDB]+ 30249, -4097493:+ number: '0.630896178024302801647125594326050581527107438233699705874560798488164534372012024840458949117530751'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d2}[Curve in LMFDB]+ 159849, 60404427:+ number: '0.315448089012151400823562797163025290763553719116849852937280399244082267186006012420229474558765375'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d3}[Curve in LMFDB]+ 453609, -305487477:+ number: '0.630896178024302801647125594326050581527107438233699705874560798488164534372012024840458949117530751'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d4}[Curve in LMFDB]+ 7257609, -19551962277:+ number: '0.630896178024302801647125594326050581527107438233699705874560798488164534372012024840458949117530751'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d5}[Curve in LMFDB]+ 423369, -347971653:+ number: '0.630896178024302801647125594326050581527107438233699705874560798488164534372012024840458949117530751'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630d6}[Curve in LMFDB]+ -999, -50301:+ number: '1.809843807804027200231217994675611972055485881554295754275855215326392204501410115841314131291109275'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630e1}[Curve in LMFDB]+ 7641, -540189:+ number: '0.904921903902013600115608997337805986027742940777147877137927607663196102250705057920657065645554637'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630e2}[Curve in LMFDB]+ 37881, 6889779:+ number: '0.452460951951006800057804498668902993013871470388573938568963803831598051125352528960328532822777318'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630e3}[Curve in LMFDB]+ 115641, -39322989:+ number: '0.904921903902013600115608997337805986027742940777147877137927607663196102250705057920657065645554637'+ comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/630e4}[Curve in LMFDB]
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