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History of Regulators 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 08:34 data-repository import the current state of the data repository reviewed
2021-05-07 17:53 bmatschke from the data repository, 42a87287
2021-05-06 19:37 bmatschke from the data repository, 912148f2
2021-05-06 19:31 bmatschke from the data repository, 27521912
2021-05-06 19:25 bmatschke from the data repository, 0421c067
2021-05-06 19:19 bmatschke from the data repository, 4f2965b6
2021-05-06 19:14 bmatschke from the data repository, 8278df03

The first version, 2021-05-06 19:14

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+Title: Regulators of elliptic curves over $\mathbb{Q}$ of rank $1$+Definition: The regulator of an elliptic curve $E$ over $\mathbb{Q}$ is the  determinant+  of the height pairing matrix for a Mordell--Weil basis of $E(\mathbb{Q})$. For elliptic+  curves of rank $1$, this is the same as the Neron-Tate height of a Mordell-Weil+  generator of the free part  of $E(\mathbb{Q})$. This table lists regulators for+  elliptic curves over $\mathbb{Q}$ of rank $1$ for the first few conductors.+Parameters:+  N:+    title: conductor+    type: Z+  c4:+    display: $c_4$+    title: $c_4$ invariant of a minimal model+    type: Z+  c6:+    display: $c_6$+    title: $c_6$ invariant of a minimal model+    type: Z+Comments:+  comment-redundancy-of-N: The conductor $N$ can be deduced from $c_4$ and $c_6$.+    We display it for convenience.+Formulas:+  formula-height-pairing-matrix: For an elliptic curve $E$ over a number field $K$,  $\text{Reg}(E/K)+    = \det(\langle P_i, P_j\rangle)_{1\leq i, j \leq r}$,  where $P_1, \ldots, P_r$+    is a Mordell-Weil basis for $E(K)$ and $\langle ., .\rangle$ denotes the Neron-Tate+    height pairing.+Programs:+  program-sage:+    language: Sage+    code: "numbers = [E.regulator() 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/+  Wiki:+    title: 'Wikipedia: Elliptic regulator'+    url: https://en.wikipedia.org/wiki/N%C3%A9ron%E2%80%93Tate_height#The_elliptic_and_abelian_regulators+Similar tables: ''+Keywords: ''+Tags:+- number theory+- ellptic curves+Data properties:+  type: R+  complete: unknown+  sources:+  - CITE{LMFDB}+Display properties:+  number-header: $\text{Reg}(E/\mathbb{Q})$+  group parameters:+  - - N+  - - c4+    - c6+Numbers:+  '37':+    48, -216:+      number: '0.051111408239968840235886099756942021609538202280852964249242761521097051665601926126276280166145013'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/37a1}[Curve in LMFDB]+  '43':+    16, -280:+      number: '0.062816507087487649265708791466968686318992037272510316529977909805136586214606513409377967749397813'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/43a1}[Curve in LMFDB]+  '53':+    -15, -297:+      number: '0.092981484638654303348041905509678109673876850206730976162355670579149203633961542780271268057826684'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/53a1}[Curve in LMFDB]+  '57':+    112, -1304:+      number: '0.037574592736823752824805111216710408404839467040671176417124880577449450908906390725383760010191889'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/57a1}[Curve in LMFDB]+  '58':+    57, -621:+      number: '0.042420307839929849766777051944982591293909091818647249839646082188894877179426585330193216920905075'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/58a1}[Curve in LMFDB]+  '61':+    97, -1009:+      number: '0.079187731362041943636554519799767450798486840777270873223861582246669880773259506838796410882948240'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/61a1}[Curve in LMFDB]+  '65':+    49, -73:+      number: '0.375514098661266321804472876824578317662104664323361529619518010521002772356852281084035979138769436'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a1}[Curve in LMFDB]+    -191, -577:+      number: '0.187757049330633160902236438412289158831052332161680764809759005260501386178426140542017989569384718'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/65a2}[Curve in LMFDB]+  '77':+    -96, -216:+      number: '0.098027979264468194506490125268937608734873936620150663667991277679195067485294772925827405615410586'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/77a1}[Curve in LMFDB]+  '79':+    97, -881:+      number: '0.097664210108186984853745520844088361312541438967037024427446699947952541049519926693681650424469752'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/79a1}[Curve in LMFDB]+  '82':+    73, -325:+      number: '0.224706924918878082228795360134581242607801994091117217583968145563509452443476034780155390287832099'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a1}[Curve in LMFDB]+    553, 12779:+      number: '0.449413849837756164457590720269162485215603988182234435167936291127018904886952069560310780575664198'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/82a2}[Curve in LMFDB]+  '83':+    -47, 199:+      number: '0.177292294114768443457600615999415830428969517489845174196088675891199596861242662659842911198660821'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/83a1}[Curve in LMFDB]+  '88':+    192, -3456:+      number: '0.040264364336880642943215152248081252704517795279352486772446362511155625623873494992674131959356569'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/88a1}[Curve in LMFDB]+  '89':+    49, -521:+      number: '0.112104881230098949420089775043700836733109095873168237318037471035132400203430441752021062145525003'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/89a1}[Curve in LMFDB]+  '91':+    -48, -216:+      number: '0.142392150668768659184791094973705131966160658220570372016077631711196275253298047270602882553128366'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91a1}[Curve in LMFDB]+    352, -6616:+      number: '1.059245086409150545493153691761773057568197764324589719071220287926132673701984490209208119286016877'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b1}[Curve in LMFDB]+    -608, -32824:+      number: '0.353081695469716848497717897253924352522732588108196573023740095975377557900661496736402706428672292'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b2}[Curve in LMFDB]+    5632, 1041704:+      number: '0.117693898489905616165905965751308117507577529369398857674580031991792519300220498912134235476224097'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/91b3}[Curve in LMFDB]+  '92':+    48, -864:+      number: '0.049808397298064826640169093397182917868444658608230021290891475434544264927572284618645135835285904'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/92b1}[Curve in LMFDB]+  '99':+    81, 135:+      number: '0.302571384561494999176143034811562387771992366756620475994054387004340892640597000716852837374597371'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a1}[Curve in LMFDB]+    801, -22545:+      number: '0.151285692280747499588071517405781193885996183378310237997027193502170446320298500358426418687298685'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/99a2}[Curve in LMFDB]+  '101':+    64, 296:+      number: '0.164703452949149351064246426769225533111909587699221381458743277283962441999241292374681865215142302'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/101a1}[Curve in LMFDB]+  '102':+    121, -845:+      number: '0.143253892940880071476274413031827719968364492138553713845144205963725487862326119174019747970875660'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a1}[Curve in LMFDB]+    -359, -5885:+      number: '0.286507785881760142952548826063655439936728984277107427690288411927450975724652238348039495941751321'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/102a2}[Curve in LMFDB]+  '106':+    361, -6965:+      number: '0.068912680403558070036435803144560563498529161486209943395433485552522565215385432214348273787175064'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/106b1}[Curve in LMFDB]+  '112':+    16, -3520:+      number: '0.239919898725202576011639771245322606082118682202490254030941829206868885139858919697419712446396234'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a1}[Curve in LMFDB]+    1936, -84160:+      number: '0.119959949362601288005819885622661303041059341101245127015470914603434442569929459848709856223198117'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/112a2}[Curve in LMFDB]+  '117':+    -207, -6345:+      number: '1.130335626179551006648752509880637923979758009107782408062030893108114906876440639171227831687440443'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a1}[Curve in LMFDB]+    1953, -74385:+      number: '0.565167813089775503324376254940318961989879004553891204031015446554057453438220319585613915843720221'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a2}[Curve in LMFDB]+    8433, 701271:+      number: '0.282583906544887751662188127470159480994939502276945602015507723277028726719110159792806957921860110'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a3}[Curve in LMFDB]+    30033, -5204601:+      number: '0.282583906544887751662188127470159480994939502276945602015507723277028726719110159792806957921860110'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/117a4}[Curve in LMFDB]+  '118':+    -23, -629:+      number: '0.087906195676299400765478046035635174163716630085231480280215394478581149869482520010599194164233383'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/118a1}[Curve in LMFDB]+  '121':+    352, -6776:+      number: '0.089785156160690453326303090165008719821043585982424845089416757300189715984909746171782796649635195'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b1}[Curve in LMFDB]+    42592, 9018856:+      number: '0.987636717767594986589333991815095918031479445806673295983584330302086875834007207889610763145987146'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/121b2}[Curve in LMFDB]+  '122':+    -119, -37:+      number: '0.120843215408374766150653146373508505409518952390608656019331231225889414148051417080694393275224196'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/122a1}[Curve in LMFDB]+  '123':+    496, -11800:+      number: '0.840521417531475386798778313426759523890145313116562064577140779282845768164696372211783004976584636'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a1}[Curve in LMFDB]+    -944, 774440:+      number: '0.168104283506295077359755662685351904778029062623312412915428155856569153632939274442356600995316927'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123a2}[Curve in LMFDB]+    -32, 424:+      number: '0.291914528729471032005760594850438677246188966822714570024857653786274828397970048137601313350324389'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/123b1}[Curve in LMFDB]+  '124':+    112, -1504:+      number: '0.520530693882674277450238793037364542629224070737625093042807069897688835897849816126664985020086780'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a1}[Curve in LMFDB]+    -848, 14624:+      number: '0.173510231294224759150079597679121514209741356912541697680935689965896278632616605375554995006695593'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/124a2}[Curve in LMFDB]+  '128':+    -32, -640:+      number: '0.432331164573518032516075563392303697604303808175530640166299954182309887207633182885733518148998513'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a1}[Curve in LMFDB]+    448, -8704:+      number: '0.216165582286759016258037781696151848802151904087765320083149977091154943603816591442866759074499256'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/128a2}[Curve in LMFDB]+  '129':+    928, -28376:+      number: '0.099959152680293444277480065758644137660756426871556838402474414586857112185362048804690864757751180'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/129a1}[Curve in LMFDB]+  '130':+    1561, -61309:+      number: '1.170464153594722231116300800325189639761186191614572686034405676792092310994216828714235862835830003'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a1}[Curve in LMFDB]+    601, -135901:+      number: '0.585232076797361115558150400162594819880593095807286343017202838396046155497108414357117931417915001'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a2}[Curve in LMFDB]+    9961, 954251:+      number: '0.390154717864907410372100266775063213253728730538190895344801892264030770331405609571411954278610001'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a3}[Curve in LMFDB]+    -5399, 3631499:+      number: '0.195077358932453705186050133387531606626864365269095447672400946132015385165702804785705977139305000'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/130a4}[Curve in LMFDB]+  '131':+    -32, -440:+      number: '0.216095198667748366082925496161997205846459905533677204964871385357070568334346865509690097860379522'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/131a1}[Curve in LMFDB]+  '135':+    144, -3672:+      number: '0.029545685247349348737171156990366118922180315624639448326328044991182453849596381087110611691062239'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/135a1}[Curve in LMFDB]+  '136':+    208, -1216:+      number: '0.231507992826438818572777044285974953606545239057703373010568966853600730288013025609016700303050790'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a1}[Curve in LMFDB]+    -752, -9280:+      number: '0.463015985652877637145554088571949907213090478115406746021137933707201460576026051218033400606101581'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/136a2}[Curve in LMFDB]+  '138':+    73, -1349:+      number: '0.177368191340135968310889520642111342096354706644418293509969698427928505121665350975389540772711379'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a1}[Curve in LMFDB]+    1513, -58805:+      number: '0.354736382680271936621779041284222684192709413288836587019939396855857010243330701950779081545422759'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/138a2}[Curve in LMFDB]+  '141':+    592, -5464:+      number: '0.034486775017552426108673440653158022239227479105681683600817470748089444924903954977075692172906765'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141a1}[Curve in LMFDB]+    64, 136:+      number: '0.198495236463084760833682628620390889459046651646528674311974435799512537443087457000167217590528433'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/141d1}[Curve in LMFDB]+  '142':+    561, -10665:+      number: '0.033789142638066631043127085354986188051783574977517184094251542250277013447176902654551792628309518'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142a1}[Curve in LMFDB]+    73, 379:+      number: '0.180913710984373162944859213431763105678042325391958822426037262811781047143559139096349181277926346'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/142b1}[Curve in LMFDB]+  '143':+    64, 1864:+      number: '0.240033831828587536516469808384581825458704283396826111328379468490452349739910944610628859099037427'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/143a1}[Curve in LMFDB]+  '145':+    129, -1377:+      number: '0.584457629864567112070784210021647968322258456796338756856689527336305034329193712403996177493904697'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a1}[Curve in LMFDB]+    -111, -5913:+      number: '0.292228814932283556035392105010823984161129228398169378428344763668152517164596856201998088746952348'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/145a2}[Curve in LMFDB]+  '148':+    256, 640:+      number: '0.096241179401892145659845934172924780000727571200706522310093089456657739801199665303576128989106481'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/148a1}[Curve in LMFDB]+  '152':+    64, -2944:+      number: '0.065414869588411966245663222104280061473104561507018454792724922658978040438714504493619201988223315'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/152a1}[Curve in LMFDB]+  '153':+    144, -1944:+      number: '0.069480281083174339520653022680145518249951402863126192325796275586866340058674513869831195568459176'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153a1}[Curve in LMFDB]+    -288, -23544:+      number: '0.112889738501639571582996725671596537587054205355646453518182763928999624291004304431303103995449492'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/153b1}[Curve in LMFDB]+    25632, -4105944:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155a2}[Curve in LMFDB]+    64, -728:+      number: '0.184143922617560842882337642818271042925070060746362779100788037112358093323284495649041043314020652'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/155c1}[Curve in LMFDB]+  '156':+    256, -3680:+      number: '0.147414412048161505013051120183333405378200091117390772686030735489825122885163668600440125347065969'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a1}[Curve in LMFDB]+    976, 26560:+      number: '0.294828824096323010026102240366666810756400182234781545372061470979650245770327337200880250694131938'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/156a2}[Curve in LMFDB]+  '158':+    417, -6129:+      number: '0.038990280310775717636821771363254857839876098519605554981273319866625226882314730218818657921623175'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/158a1}[Curve in LMFDB]+    169, -2069:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/162a2}[Curve in LMFDB]+  '163':+    96, -1080:+      number: '0.189909232498103240802183704094685366161958050146460477412210376463289642629626390099591453420566677'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/163a1}[Curve in LMFDB]+  '166':+    313, -5741:+      number: '0.089956790916706929407971671786384964267101003161707473201791604794850508362649521814644494751736511'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/166a1}[Curve in LMFDB]+  '170':+    361, -5941:+      number: '0.205134543967881609691468001937537782906559891649607269710930830969957547694404272775604186104373807'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/170a1}[Curve in LMFDB]+    -599, -32149:+      number: '0.102567271983940804845734000968768891453279945824803634855465415484978773847202136387802093052186903'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/170a2}[Curve in LMFDB]+  '171':+    -288, -216:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/184b1}[Curve in LMFDB]+  '185':+    7504, -650008:+      number: '0.114056704408457925036389254331071360118568734810481848271867825941552227935377429038741923056845712'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185a1}[Curve in LMFDB]+    256, -3896:+      number: '0.110278967221565392411035912191642582878704480214355452660659044040369076568543822894758496677162622'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185b1}[Curve in LMFDB]+    169, 2123:+      number: '1.425265290672122006906800183092672845772351433063674134811115069482937729061253007145114704047041501'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185c1}[Curve in LMFDB]+    -71, 7667:+      number: '0.712632645336061003453400091546336422886175716531837067405557534741468864530626503572557352023520750'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/185c2}[Curve in LMFDB]+  '189':+    144, -216:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/190a1}[Curve in LMFDB]+    -71, -1133:+      number: '0.131821481882326275601128813270495354435938735912597315945292400515162145276332579058767627367600956'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/190b1}[Curve in LMFDB]+  '192':+    208, 2944:+      number: '1.351603734412083332293812071952292680514832007012993865977393820715433513684811606283992899737461732'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/192a1}[Curve in LMFDB]+    448, -5120:+      number: '0.675801867206041666146906035976146340257416003506496932988696910357716756842405803141996449868730866'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/192a2}[Curve in LMFDB]+    6208, -488960:+      number: '1.351603734412083332293812071952292680514832007012993865977393820715433513684811606283992899737461732'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/192a3}[Curve in LMFDB]+    -1472, -37376:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a1}[Curve in LMFDB]+    9513, -924885:+      number: '0.390085982794622683777272684282001724293373124834243345353559120991200057912310779819975739181142849'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a2}[Curve in LMFDB]+    152073, -59303205:+      number: '0.780171965589245367554545368564003448586746249668486690707118241982400115824621559639951478362285699'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a3}[Curve in LMFDB]+    5193, -1768581:+      number: '0.195042991397311341888636342141000862146686562417121672676779560495600028956155389909987869590571424'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/198a4}[Curve in LMFDB]+  '200':+    160, 800:+      number: '0.293211026602362793654501199205500958994994464222623075064002367948064221020089249617682537111499975'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/200b1}[Curve in LMFDB]+    1360, -49600:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/208a3}[Curve in LMFDB]+    784, -22976:+      number: '0.078785465696304420774749267210803970326125874340341769962328174486137649441952418951206091492819065'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/208b1}[Curve in LMFDB]+  '209':+    1312, -55576:+      number: '0.665117363994259726304683513612625441295214167965835655791989186152557556486768262069222099949716096'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/209a1}[Curve in LMFDB]+    -9248, 321416:+      number: '0.221705787998086575434894504537541813765071389321945218597329728717519185495589420689740699983238698'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/209a2}[Curve in LMFDB]+  '210':+    169, 1387:+      number: '0.532646580955744561927467455412260921208077730698399975200468553509667401645854541181632356323357421'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/210d1}[Curve in LMFDB]+    1129, -36917:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/219b2}[Curve in LMFDB]+    3961, 233875:+      number: '1.765511617472828571531261387784472312164102985824913139644120659096999828571771899412194550534162660'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219c1}[Curve in LMFDB]+    62281, 15542875:+      number: '3.531023234945657143062522775568944624328205971649826279288241318193999657143543798824389101068325320'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/219c2}[Curve in LMFDB]+  '220':+    2176, -99424:+      number: '0.731357122231622860362489373013185505239048127205897640910127990213005465212118637888560265166472295'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/220a1}[Curve in LMFDB]+    4816, 188864:+      number: '1.462714244463245720724978746026371010478096254411795281820255980426010930424237275777120530332944591'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/220a2}[Curve in LMFDB]+    21376, 3085856:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/240c2}[Curve in LMFDB]+    6544, 523072:+      number: '0.891621139707383211630034194722300156775465563705079543988188092662963705378524980582994234283721244'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/240c3}[Curve in LMFDB]+    10384, -1057472:+      number: '0.222905284926845802907508548680575039193866390926269885997047023165740926344631245145748558570930311'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/240c4}[Curve in LMFDB]+  '242':+    -143, -649:+      number: '0.123571382931283740235954905543615354414224200855340620184728778923295203235850481228413777265485625'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/242a1}[Curve in LMFDB]+    2497, -128161:+      number: '0.041190460977094580078651635181205118138074733618446873394909592974431734411950160409471259088495208'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/242a2}[Curve in LMFDB]+  '243':+    0, 648:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/245c1}[Curve in LMFDB]+    -20384, -496664:+      number: '0.122459267388324461510950000499319860038181154554679790506601403230839829436525494755932107516924010'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c2}[Curve in LMFDB]+    308896, -179592056:+      number: '0.040819755796108153836983333499773286679393718184893263502200467743613276478841831585310702505641336'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/245c3}[Curve in LMFDB]+  '246':+    3193, -179405:+      number: '0.317426609825600401714055094935535575594382412917620809292879064091230990397646268715459962998920339'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/246d1}[Curve in LMFDB]+    1273, -393101:+      number: '0.634853219651200803428110189871071151188764825835241618585758128182461980795292537430919925997840679'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/246d2}[Curve in LMFDB]+  '248':+    16, -928:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/366f1}[Curve in LMFDB]+    -1943, 467531:+      number: '0.126199325533363210385678024511164199491796036551340026780275106877940467501773476968466661651381186'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/366f2}[Curve in LMFDB]+    1537, -67841:+      number: '0.033037247176307310541272851306566580329867938379038972127406766783095893697189581520340626292310239'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/366g1}[Curve in LMFDB]+  '368':+    -240, 5184:+      number: '0.816633506705305222451111375839290574866094483192900752184582966317357363483807197285319902288017615'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/368a1}[Curve in LMFDB]+    1680, 53568:+      number: '0.408316753352652611225555687919645287433047241596450376092291483158678681741903598642659951144008807'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/368a2}[Curve in LMFDB]+    16, 800:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/385a2}[Curve in LMFDB]+    33441, -4423761:+      number: '0.261754639941767443660892360680984289594693359944550889463278084464666795401512973537713605691725191'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/385a3}[Curve in LMFDB]+    492801, -345945249:+      number: '1.047018559767069774643569442723937158378773439778203557853112337858667181606051894150854422766900766'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/385a4}[Curve in LMFDB]+    1, -6049:+      number: '0.333261931683290235460539028852105343280652848452995772672642486621871610165965027991649485502276839'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/385b1}[Curve in LMFDB]+    2641, -133561:+      number: '0.166630965841645117730269514426052671640326424226497886336321243310935805082982513995824742751138419'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/385b2}[Curve in LMFDB]+  '387':+    729, 43011:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/406a2}[Curve in LMFDB]+    697, -182701:+      number: '0.595635816612467183050498366735755525523187047753224078774979665642278980924776935515178010719328253'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/406b1}[Curve in LMFDB]+    -6263, 4889051:+      number: '0.198545272204155727683499455578585175174395682584408026258326555214092993641592311838392670239776084'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/406b2}[Curve in LMFDB]+    4897, -343601:+      number: '0.040121556649313977532137684988793787270354381419180603546220460031621671124042096005333978823181762'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/406c1}[Curve in LMFDB]+  '408':+    832, -49024:+      number: '0.035837594108003930326108871919885012453127761702497872289072737704197897137618825307761494145890681'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/408d1}[Curve in LMFDB]+  '410':+    681, -14229:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/429b6}[Curve in LMFDB]+  '430':+    969, -30213:+      number: '0.290965742860940371252997954851432007217079628653245018019190604516810389541928120458437754476963987'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430a1}[Curve in LMFDB]+    -759, 5211:+      number: '0.156986730632823124171567826012751401834349580953157698272460916127818217757044140693564747575459234'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430b1}[Curve in LMFDB]+    -191, -13537:+      number: '0.761190362525316248096959009459516508275403072062482244542122742605823251988771546731718808047368875'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430c1}[Curve in LMFDB]+    1729, 377567:+      number: '2.283571087575948744290877028378549524826209216187446733626368227817469755966314640195156424142106625'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/430c2}[Curve in LMFDB]+    270049, 140335343:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/432b2}[Curve in LMFDB]+    144, -29376:+      number: '0.059518597252508868139914293467430969154558397509785284218203328577557278289147498096897748974108089'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/432d1}[Curve in LMFDB]+    -1008, -22464:+      number: '0.231321420160153888059914319732719575459287074458493323904528093235469341216781517701892325320619953'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/432f1}[Curve in LMFDB]+    10512, 1429056:+      number: '0.693964260480461664179742959198158726377861223375479971713584279706408023650344553105676975961859859'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/432f2}[Curve in LMFDB]+    22032, -3312576:+      number: '0.077107140053384629353304773244239858486429024819497774634842697745156447072260505900630775106873317'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/432f3}[Curve in LMFDB]+  '434':+    345, 4131:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/444b2}[Curve in LMFDB]+  '446':+    1465, -55853:+      number: '0.160280840218068179602158320594381962555267950039130353857074735570874199505161877693996951872633521'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/446a1}[Curve in LMFDB]+    1873, 16039:+      number: '0.071318394729367225446221132787875717520697135068292166604536794768163344275443516639666254172082644'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/446b1}[Curve in LMFDB]+  '448':+    -192, -13824:+      number: '0.696738583477710150374948427767952091833382511895009424603952113918129037140373586684101863234854766'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/448a1}[Curve in LMFDB]+    3648, -207360:+      number: '1.393477166955420300749896855535904183666765023790018849207904227836258074280747173368203726469709532'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/448a2}[Curve in LMFDB]+    11328, 953856:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/465b3}[Curve in LMFDB]+    -2879, -8641:+      number: '2.187134687917046258672772010758357232379799176568413467428179041036706683596593196784337020268734888'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/465b4}[Curve in LMFDB]+  '467':+    192, -2808:+      number: '0.246987629752017655162856247530257465969478238241004627355971130240793407508413887649181024628526659'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/467a1}[Curve in LMFDB]+  '468':+    1728, -69984:+      number: '0.180117663379085318297847137648292952627794682156729186934094617998014828391368807285642989135917770'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/468c1}[Curve in LMFDB]+    -432, -233280:+      number: '0.360235326758170636595694275296585905255589364313458373868189235996029656782737614571285978271835540'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/468c2}[Curve in LMFDB]+  '469':+    3817, 231659:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/475b2}[Curve in LMFDB]+    -15, -2025:+      number: '0.745717685408769081920814677360191562871488279232516070708747992868777070954738219656359057077634969'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/475c1}[Curve in LMFDB]+    1185, -39825:+      number: '0.372858842704384540960407338680095781435744139616258035354373996434388535477369109828179528538817484'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/475c2}[Curve in LMFDB]+  '477':+    -135, 8019:+      number: '1.226549600590124501180524391798411607410429346716444014622683959882833386238035381452052540188740337'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/477a1}[Curve in LMFDB]+  '480':+    304, 1792:+      number: '1.035719522450406410025771591928353053719888783524658175191177521816904832270254285189929110986197276'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/480a1}[Curve in LMFDB]+    3904, 243712:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/480f2}[Curve in LMFDB]+    23056, -3500864:+      number: '2.065113879773876953777854130157768173855782138945036651992037857328976612013784883551094752467351902'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/480f3}[Curve in LMFDB]+    -704, -198656:+      number: '0.516278469943469238444463532539442043463945534736259162998009464332244153003446220887773688116837975'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/480f4}[Curve in LMFDB]+  '481':+    81273, -23169645:+      number: '3.228979491430733221190550838299101035603585765051962357534974067502264847517131667394582228138774607'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/481a1}[Curve in LMFDB]+    81033, -23313285:+      number: '1.614489745715366610595275419149550517801792882525981178767487033751132423758565833697291114069387303'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/481a2}[Curve in LMFDB]+  '482':+    2089, 126251:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/486f1}[Curve in LMFDB]+    53217, 12275631:+      number: '0.907951999126989065391547922722639826680357221107671124705687991880305881002906724430218990148687981'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/486f2}[Curve in LMFDB]+  '490':+    -5831, -31213:+      number: '2.111106118754721087788001778469613458300190864149952146076580949643332744643015728960861902425892318'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/490a1}[Curve in LMFDB]+    76489, 22960763:+      number: '0.703702039584907029262667259489871152766730288049984048692193649881110914881005242986953967475297439'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/490a2}[Curve in LMFDB]+    -119, 91:+      number: '0.229892383111040265923701226953295852746814650439590487519847696869319907948341933411849577108343314'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/490d1}[Curve in LMFDB]+    1561, -66941:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/492b1}[Curve in LMFDB]+  '493':+    2721, -179793:+      number: '0.068126860129847512480700571571022737866260507951065841250959257446609910069275015218582185229062323'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/493b1}[Curve in LMFDB]+  '494':+    -599, -6677:+      number: '0.326323647422341617926719298143602195712785702898117653145835954438217832416741737731288598050043339'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/494a1}[Curve in LMFDB]+    48049, -11052521:+      number: '0.020984121318352936515054298069130952358040081703932584475730358934966551167514077709304837429110318'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/494d1}[Curve in LMFDB]+  '495':+    -351, 5103:+      number: '1.318631780022662843078558623818594661830869958442592899601919700573534984154326645168104056327966435'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/495a1}[Curve in LMFDB]+    1809, 45927:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506a1}[Curve in LMFDB]+    44889, -9499869:+      number: '0.156546337614761073433512422814537168608997360857608607937711906573860320434897414997940213674914719'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506d1}[Curve in LMFDB]+    177, 1431:+      number: '0.215483295570306061398466187267536678095594728789174484724482558026372302796445839506499501413736910'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506e1}[Curve in LMFDB]+    4129, -258481:+      number: '0.059412182070874935597929917908827005721758593968417704673272771945882256259251653051600006673343808'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/506f1}[Curve in LMFDB]+  '507':+    81289, -23448581:+      number: '0.258709234428405506481287627774461626136985310794965510018809855009830347787789655813181306179608523'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/507a1}[Curve in LMFDB]+    608569, 2639579059:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/514a1}[Curve in LMFDB]+    65793, 16875135:+      number: '2.978748165773119927208426596812333391700178858791741873754164814619399811727027492775297030806210228'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/514a2}[Curve in LMFDB]+    1052673, 1080040959:+      number: '5.957496331546239854416853193624666783400357717583483747508329629238799623454054985550594061612420456'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/514a3}[Curve in LMFDB]+    61953, 18931455:+      number: '5.957496331546239854416853193624666783400357717583483747508329629238799623454054985550594061612420456'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/514a4}[Curve in LMFDB]+    193, -289:+      number: '0.534248537780575617139991046119429103742444101653074441837014550543003819853338067695585316141913475'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/514b1}[Curve in LMFDB]+    -767, -2305:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/528a1}[Curve in LMFDB]+    -1520, 18496:+      number: '0.288730858644886570077010033967034198120592491909509848980095213008469566044167786327312850233650367'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/528a2}[Curve in LMFDB]+    4240, 260416:+      number: '1.101794645383716491937745054877555408353803806977320342156530607140563866331665078396542276932137183'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/528g1}[Curve in LMFDB]+    -3440, 1099072:+      number: '0.550897322691858245968872527438777704176901903488660171078265303570281933165832539198271138466068591'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/528g2}[Curve in LMFDB]+    61840, -15319232:+      number: '0.367264881794572163979248351625851802784601268992440114052176869046854622110555026132180758977379061'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/528g3}[Curve in LMFDB]+    31120, -30544064:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/528h4}[Curve in LMFDB]+  '530':+    201, 891:+      number: '0.862872440530707887992879119699307350126372453625157648855523378070675681370687160364754474953613210'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530b1}[Curve in LMFDB]+    -759, 6939:+      number: '0.431436220265353943996439559849653675063186226812578824427761689035337840685343580182377237476806605'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530b2}[Curve in LMFDB]+    -58839, -26685909:+      number: '0.081564376217971891899333505030935152298017792041337361313529936567331239381275407442463684588689843'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530c1}[Curve in LMFDB]+    -431, -8153:+      number: '0.082140426436757539793053896486615781354153596956476388948101216145570123350308286910028738460430433'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/530d1}[Curve in LMFDB]+  '534':+    673, -14705:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/539d1}[Curve in LMFDB]+    24304, -6862744:+      number: '0.111136147141988019664243223095256923959620922113855567704186795920397101147057831617554645362148406'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/539d2}[Curve in LMFDB]+    18393424, -78884898904:+      number: '0.555680735709940098321216115476284619798104610569277838520933979601985505735289158087773226810742031'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/539d3}[Curve in LMFDB]+  '540':+    -144, -864:+      number: '0.656622630627608652030782249880346094666429417467314503478499259795325625193292493880920440075938726'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540b1}[Curve in LMFDB]+    2736, -146016:+      number: '0.218874210209202884010260749960115364888809805822438167826166419931775208397764164626973480025312908'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/540b2}[Curve in LMFDB]+    31104, -5505408:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/542b1}[Curve in LMFDB]+  '544':+    240, -3456:+      number: '0.798288061146009630916093259492690940023291450229301498541056959366473457234259077551476595892087292'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/544a1}[Curve in LMFDB]+    -240, -15552:+      number: '1.596576122292019261832186518985381880046582900458602997082113918732946914468518155102953191784174584'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/544a2}[Curve in LMFDB]+  '545':+    13641, -1593189:+      number: '0.883143048214564463237544484448892289902402760114623477756715260845028421205015495404344181272030336'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/545a1}[Curve in LMFDB]+    13881, -1534221:+      number: '1.766286096429128926475088968897784579804805520229246955513430521690056842410030990808688362544060672'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/545a2}[Curve in LMFDB]+    43881, 7348779:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/546c3}[Curve in LMFDB]+    -19367, -2352349:+      number: '0.153886582118597942494290118667337484504231396720880407421212962587066379435850440165332474221231700'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/546c4}[Curve in LMFDB]+  '549':+    -135, -621:+      number: '1.561338513052201820582018130302226967923725827516082888188829698748472521050603470071659533320320741'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/549a1}[Curve in LMFDB]+    585, -5157:+      number: '0.780669256526100910291009065151113483961862913758041444094414849374236260525301735035829766660160370'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/549a2}[Curve in LMFDB]+    -1215, 16767:+      number: '1.762415485088059041832169092164891213686778998730653183333698560390147650787554280917670979946343015'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/549b1}[Curve in LMFDB]+    5265, 139239:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/550f2}[Curve in LMFDB]+    36393625, -219555128125:+      number: '1.796003113885287983422612966767872004928192961752998135669627673475057981014137627879389100220371456'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/550f3}[Curve in LMFDB]+    265, -7525:+      number: '0.348037806707302762886713555553429322966721222633268123599186542377420256406062047077982818218518024'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/550g1}[Curve in LMFDB]+    5065, -360325:+      number: '0.174018903353651381443356777776714661483360611316634061799593271188710128203031023538991409109259012'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/550g2}[Curve in LMFDB]+    106225, -34951625:+      number: '0.021400148006828586228189049877086540463580157185481606178632531651856162205282594495726338326234638'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/550i1}[Curve in LMFDB]+    -355775, -181174625:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/551c1}[Curve in LMFDB]+    5584, -417304:+      number: '0.105146748818215928275619253306666236376505402107438994714031988772013989831685229880267383672940783'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/551d1}[Curve in LMFDB]+  '552':+    3088, 243136:+      number: '2.080975295682059531365735280416711365551644222218613445169486204489502158222670973427879619841556372'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552a1}[Curve in LMFDB]+    54928, 12871360:+      number: '4.161950591364119062731470560833422731103288444437226890338972408979004316445341946855759239683112744'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552a2}[Curve in LMFDB]+    9952, 992800:+      number: '2.871500307474488146153972259828150913294321414359960593534986458498724161754565606759022305281800832'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552d1}[Curve in LMFDB]+    10192, 942400:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/552e2}[Curve in LMFDB]+    14608, 382400:+      number: '3.308313560154980084166311244578346358599552105095183076940504050904545018510738774915316656539279307'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552e3}[Curve in LMFDB]+    141328, -53130304:+      number: '3.308313560154980084166311244578346358599552105095183076940504050904545018510738774915316656539279307'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/552e4}[Curve in LMFDB]+  '556':+    384, -7776:+      number: '0.138210611148678024649795898570339452267707513964561802638409019910481732964016476999300345146961255'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/556a1}[Curve in LMFDB]+  '557':+    25, -989:+      number: '0.501125081472576757326665975109979443263666736133527607652471634465716614845134588581877418171461365'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/557a1}[Curve in LMFDB]+  '558':+    9, -1701:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/558f2}[Curve in LMFDB]+    7137, -615249:+      number: '0.037028340956090628521166468588393768567040660924288942078603060609041322972701425433635633901127679'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/558g1}[Curve in LMFDB]+  '560':+    -1776, -119232:+      number: '0.613941328200020842034001636032373179044715971463902379704597355612131591165190583431639308728119751'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560d1}[Curve in LMFDB]+    13584, -1280448:+      number: '1.227882656400041684068003272064746358089431942927804759409194711224263182330381166863278617456239503'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560d2}[Curve in LMFDB]+    67344, 16331328:+      number: '2.455765312800083368136006544129492716178863885855609518818389422448526364660762333726557234912479007'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/560d3}[Curve in LMFDB]+    205584, -93210048:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574b1}[Curve in LMFDB]+    106633, -26012069:+      number: '1.996636512927157370708686153202896599532754304083167384502980350736661515662422501824837359108405202'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574b2}[Curve in LMFDB]+    3817, -170101:+      number: '2.349955209467868471044576575492891899266305791473441130770280316612856460851986585521397470453230184'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574f1}[Curve in LMFDB]+    112057, 37500371:+      number: '0.783318403155956157014858858497630633088768597157813710256760105537618820283995528507132490151076728'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574f2}[Curve in LMFDB]+    1009, -3401:+      number: '0.084302341392495156436858823747998813031027844119601256645021801021327524835979526764329938518743065'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/574g1}[Curve in LMFDB]+    -159, -5265:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/576h2}[Curve in LMFDB]+    19008, 2612736:+      number: '1.777251749679238479588374669961378573143693647315017536263737441380698064539305035818661938353493299'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/576h3}[Curve in LMFDB]+    19008, -2612736:+      number: '0.444312937419809619897093667490344643285923411828754384065934360345174516134826258954665484588373324'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/576h4}[Curve in LMFDB]+    -1152, -48384:+      number: '0.539636932338589557218451683287148558902700390371467732777600799157155309204110340471669495931888451'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/576i1}[Curve in LMFDB]+    7488, -483840:+      number: '1.079273864677179114436903366574297117805400780742935465555201598314310618408220680943338991863776902'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/576i2}[Curve in LMFDB]+    42048, 8225280:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/582c2}[Curve in LMFDB]+  '585':+    10449, -1190457:+      number: '0.791788244772566050365368090735502983025894978767269906007111571081996213902419997776628287870611323'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585a1}[Curve in LMFDB]+    172449, -71611857:+      number: '0.395894122386283025182684045367751491512947489383634953003555785540998106951209998888314143935305661'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585a2}[Curve in LMFDB]+    2016, -90936:+      number: '0.766940191297849551084912392345155801290277586134061436372620349974773603172982025118049290422467969'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585d1}[Curve in LMFDB]+    -5184, -484056:+      number: '0.255646730432616517028304130781718600430092528711353812124206783324924534390994008372683096807489323'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/585d2}[Curve in LMFDB]+    47529, 10361547:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/586c1}[Curve in LMFDB]+  '588':+    -15680, -669536:+      number: '0.665968540075761201802439778296690056822947067042556790720626382561249634271601436651940622985361928'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/588b1}[Curve in LMFDB]+    66640, -5509952:+      number: '0.332984270037880600901219889148345028411473533521278395360313191280624817135800718325970311492680964'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/588b2}[Curve in LMFDB]+    266560, -141733088:+      number: '1.997905620227283605407319334890070170468841201127670372161879147683748902814804309955821868956085784'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/588b3}[Curve in LMFDB]+    4300240, -8917407296:+      number: '0.998952810113641802703659667445035085234420600563835186080939573841874451407402154977910934478042892'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/588b4}[Curve in LMFDB]+    448, 7840:+      number: 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comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/591a1}[Curve in LMFDB]+  '592':+    448, 8576:+      number: '0.763933315001167347410143338965747493648668136624942839622650268440902237844853174677468672010347894'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/592a1}[Curve in LMFDB]+    256, -640:+      number: '0.291615561352014387466462101969099633495968321883296557653502972979017560868206624460129341762291774'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/592d1}[Curve in LMFDB]+    2560, 128512:+      number: '1.025677162821382300966983325102673149335723574245148677169644549719419666501642427976797937584682213'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/592e1}[Curve in LMFDB]+    17920, -2322944:+      number: '0.341892387607127433655661108367557716445241191415049559056548183239806555500547475992265979194894071'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/592e2}[Curve in LMFDB]+    1438720, -1725696512:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/615a2}[Curve in LMFDB]+    -3776, 207368:+      number: '0.133549066454020940780541923529136505635070601908082926545272000849755428902370140919571544736630202'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/615b1}[Curve in LMFDB]+  '616':+    -4080, -74304:+      number: '1.600740173599796919639029479678397196900163663817712585308404063609902941329314161814542606173198563'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/616a1}[Curve in LMFDB]+    17040, -606528:+      number: '3.201480347199593839278058959356794393800327327635425170616808127219805882658628323629085212346397127'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/616a2}[Curve in LMFDB]+    64, -169856:+      number: '0.042718865241401249617924629434762749087445766734226763207965791265871143316473141558003894024389527'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/616d1}[Curve in LMFDB]+    1248, 44064:+      number: 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HREF{https://www.lmfdb.org/EllipticCurve/Q/620a2}[Curve in LMFDB]+    50496, -11343456:+      number: '0.138538585298552657937996682145550050997550936119684388570384149828496263545710769033876444570568844'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620b1}[Curve in LMFDB]+    57936, -7781184:+      number: '0.277077170597105315875993364291100101995101872239368777140768299656992527091421538067752889141137688'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620b2}[Curve in LMFDB]+    -384, -3456:+      number: '0.213291268155788686930357059226874196282732990796070599939452294600010161411230924816435612659017657'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/620c1}[Curve in LMFDB]+  '621':+    657, 16551:+      number: '0.545905209109924787714241357483549927488492938106960111176849982752186909170855839578075913061543757'+      comment: HREF{https://www.lmfdb.org/EllipticCurve/Q/621b1}[Curve in LMFDB]+  '622':+    -399, 2295:+      number: 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