History of Elliptic curves over $\mathbb{Q}$ with large Szpiro ratios

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2026-08-09 09:26 label hoist moved the parameter labels onto the parameter they describe current
2026-08-09 09:15 flattening entries rewritten as records with named parameters
2026-08-09 08:35 data-repository import the current state of the data repository reviewed
2021-06-14 12:39 admin from the data repository, 498d97e4
2021-06-03 19:28 admin from the data repository, 351531b3
2021-05-17 01:18 admin from the data repository, bdb25765
2021-05-17 01:10 admin from the data repository, e31a33fa

What changed between 2026-08-09 09:15 and 2026-08-09 09:26

from line 14 (9 lines, 5 more than before) @@ -14,4 +14,9 @@
     type: Symbolic     show-in-parameter-list: 'no'+    values:+      sigma: $\sigma$+      N: $N$+      c4: $c_4$+      c6: $c_6$ Comments:   comment-Szpiro-conjecture: The Szpiro conjecture CITE{Wiki} states that $\limsup
from line 64 (481 lines, 120 fewer than before) @@ -59,601 +64,481 @@
   number-header: value Numbers:-- param-latex: $\sigma$-  params:+- params:     sigma: '9.0199'     variable: sigma   number: '9.019964068365010421032404283054510876688775648109581744943873471338203667169402662052010200968394701'-- param-latex: $N$-  params:+- params:     sigma: '9.0199'     variable: N   number: '12735814'-- param-latex: $c_4$-  params:+- params:     sigma: '9.0199'     variable: c4   number: '20359284608016161208865'-- param-latex: $c_6$-  params:+- params:     sigma: '9.0199'     variable: c6   number: '5436524013766214643338936120213327'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.9037'     variable: sigma   number: '8.903700224703577364058979912566076297017598117884589976644796089959288132044681509092027329227305590'-- param-latex: $N$-  params:+- params:     sigma: '8.9037'     variable: N   number: '1290'-- param-latex: $c_4$-  params:+- params:     sigma: '8.9037'     variable: c4   number: '-5771037719'-- param-latex: $c_6$-  params:+- params:     sigma: '8.9037'     variable: c6   number: '2895537481474571'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.8431'     variable: sigma   number: '8.843128226073368911990416647066625100656194890344662482250967294084911902806944845029710783781675002'-- param-latex: $N$-  params:+- params:     sigma: '8.8431'     variable: N   number: '9510'-- param-latex: $c_4$-  params:+- params:     sigma: '8.8431'     variable: c4   number: '-1275806996039'-- param-latex: $c_6$-  params:+- params:     sigma: '8.8431'     variable: c6   number: '16099757136577294291'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.8119'     variable: sigma   number: '8.811943571940474883350816992201139371583018317306267688216100842830069019212129894458017437702422791'-- param-latex: $N$-  params:+- params:     sigma: '8.8119'     variable: N   number: '2526810'-- param-latex: $c_4$-  params:+- params:     sigma: '8.8119'     variable: c4   number: '-16771680533237163431'-- param-latex: $c_6$-  params:+- params:     sigma: '8.8119'     variable: c6   number: '669970461396005289047247621283'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.8015'     variable: sigma   number: '8.801596471642693645149329698370532759326204415663971781853239507314244165513983396439557927816132634'-- param-latex: $N$-  params:+- params:     sigma: '8.8015'     variable: N   number: '9690'-- param-latex: $c_4$-  params:+- params:     sigma: '8.8015'     variable: c4   number: '11840098430761'-- param-latex: $c_6$-  params:+- params:     sigma: '8.8015'     variable: c6   number: '-43249124259565972309'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.7923'     variable: sigma   number: '8.792374064160902757693706051988218987662136662032246275518000607316018687041196240878053198570425168'-- param-latex: $N$-  params:+- params:     sigma: '8.7923'     variable: N   number: '3990'-- param-latex: $c_4$-  params:+- params:     sigma: '8.7923'     variable: c4   number: '9137595601'-- param-latex: $c_6$-  params:+- params:     sigma: '8.7923'     variable: c6   number: '-281400139351426969'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.7826'     variable: sigma   number: '8.782667844265430710013968626748761425035499984910681461137386071258495620282889428079039964041511676'-- param-latex: $N$-  params:+- params:     sigma: '8.7826'     variable: N   number: '32658'-- param-latex: $c_4$-  params:+- params:     sigma: '8.7826'     variable: c4   number: '-10317044106455'-- param-latex: $c_6$-  params:+- params:     sigma: '8.7826'     variable: c6   number: '2761698048773188730923'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.7573'     variable: sigma   number: '8.757316145571119834804876236152506665462655784955531596970693059026377764138939092287578981318982755'-- param-latex: $N$-  params:+- params:     sigma: '8.7573'     variable: N   number: '858'-- param-latex: $c_4$-  params:+- params:     sigma: '8.7573'     variable: c4   number: '-784948271'-- param-latex: $c_6$-  params:+- params:     sigma: '8.7573'     variable: c6   number: '289910339991719'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.7210'     variable: sigma   number: '8.721074059168133340936757361466370960978434922861075486193092786208677454390499941674063872693702937'-- param-latex: $N$-  params:+- params:     sigma: '8.7210'     variable: N   number: '843378'-- param-latex: $c_4$-  params:+- params:     sigma: '8.7210'     variable: c4   number: '2035851168873923257'-- param-latex: $c_6$-  params:+- params:     sigma: '8.7210'     variable: c6   number: '377954041919536430003420243'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6989'     variable: sigma   number: '8.698941971725240173631778688442416080239259633572821991336286429935397847350055952280280814900848931'-- param-latex: $N$-  params:+- params:     sigma: '8.6989'     variable: N   number: '89150698'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6989'     variable: c4   number: '997604945792791899234385'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6989'     variable: c6   number: '-1864727736721811622665255089233171161'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6889'     variable: sigma   number: '8.688967708221039435993719761328437032964051698684299815457621639053641602376432035943285027623161070'-- param-latex: $N$-  params:+- params:     sigma: '8.6889'     variable: N   number: '167490523410'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6889'     variable: c4   number: '14805784447948174261527465478951849'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6889'     variable: c6   number: '1785420779423319383954904305376561054007500373097707'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6622'     variable: sigma   number: '8.662217659460579400406354698354791505301849873246202509820380476339490716481833389062595352687089325'-- param-latex: $N$-  params:+- params:     sigma: '8.6622'     variable: N   number: '27107333238'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6622'     variable: c4   number: '113156356847769719661470180249929'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6622'     variable: c6   number: '1202002355169597637982306839532964842326661545915'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6224'     variable: sigma   number: '8.622430745489334182572517897465580672408913690756701899990543086365819049234760037571383103531735567'-- param-latex: $N$-  params:+- params:     sigma: '8.6224'     variable: N   number: '12735814'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6224'     variable: c4   number: '-2140997568706379744735'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6224'     variable: c6   number: '-147713378172370337753437116596401'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6169'     variable: sigma   number: '8.616929364024027180182008671129062056085934001924650016905964708583807301266344789548668438535005249'-- param-latex: $N$-  params:+- params:     sigma: '8.6169'     variable: N   number: '7580430'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6169'     variable: c4   number: '-150945124799134470879'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6169'     variable: c6   number: '-18089202457692142804275685774641'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.6106'     variable: sigma   number: '8.610658659833089795143760884422276664687814165753910063742300402842054338708947580337800892401883427'-- param-latex: $N$-  params:+- params:     sigma: '8.6106'     variable: N   number: '165565582'-- param-latex: $c_4$-  params:+- params:     sigma: '8.6106'     variable: c4   number: '3440719098754731244298185'-- param-latex: $c_6$-  params:+- params:     sigma: '8.6106'     variable: c6   number: '11944043258244373571415642656108679419'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5965'     variable: sigma   number: '8.596580111291871506118386113177072037194578394082736912873707466794283349695925950455031484677567119'-- param-latex: $N$-  params:+- params:     sigma: '8.5965'     variable: N   number: '610537970'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5965'     variable: c4   number: '-108418460486773799492473871'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5965'     variable: c6   number: '-2131107242455933222484131795495627234633'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5793'     variable: sigma   number: '8.579323111854816123714544057470136263480704019285615840709961461612982451774007678446375836272753003'-- param-latex: $N$-  params:+- params:     sigma: '8.5793'     variable: N   number: '502471570230'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5793'     variable: c4   number: '133252060031533568353747189310566641'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5793'     variable: c6   number: '-48206361044429623366782416245167148458202510073638089'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5593'     variable: sigma   number: '8.559337741701674815983471619142866438357536315476710881960911809624589851057463556151236084005184798'-- param-latex: $N$-  params:+- params:     sigma: '8.5593'     variable: N   number: '241980466'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5593'     variable: c4   number: '7349701743493834196400265'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5593'     variable: c6   number: '-37289118210422466238661762848543209893'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5457'     variable: sigma   number: '8.545794523965473753175540158364337519499011845820688505771898963835238175190966127885519207053388491'-- param-latex: $N$-  params:+- params:     sigma: '8.5457'     variable: N   number: '81321999714'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5457'     variable: c4   number: '1018407211629927476953231622249361'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5457'     variable: c6   number: '-32454063589579136225522284667390050742819861739705'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5386'     variable: sigma   number: '8.538655717570655377253103323032695689944292017300518640422879265889333189667318951212168681142616567'-- param-latex: $N$-  params:+- params:     sigma: '8.5386'     variable: N   number: '28530'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5386'     variable: c4   number: '-11482262964351'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5386'     variable: c6   number: '-434693442687586945857'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5372'     variable: sigma   number: '8.537292953648903462341546456894528434656393877264221958072627105518564463887901029803181480170202522'-- param-latex: $N$-  params:+- params:     sigma: '8.5372'     variable: N   number: '361085848422'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5372'     variable: c4   number: '56134630838528340067322906196532873'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5372'     variable: c6   number: '13330236926194309924409343234354824150830582812943451'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5351'     variable: sigma   number: '8.535177758682160363405504201291652278231750576224431812488614782055945962499110980755714888286883560'-- param-latex: $N$-  params:+- params:     sigma: '8.5351'     variable: N   number: '12634050'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5351'     variable: c4   number: '-419292013330929085775'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5351'     variable: c6   number: '83746307674500661130905952660375'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5318'     variable: sigma   number: '8.531805122803815819066506231454608934204317243969545788225792828713221510975735645836534364502770260'-- param-latex: $N$-  params:+- params:     sigma: '8.5318'     variable: N   number: '573247290'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5318'     variable: c4   number: '71427406483335635565626809'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5318'     variable: c6   number: '-1131661295434174666745837205186845899373'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5313'     variable: sigma   number: '8.531330029976891656035100130462004605868995736273648241254237746048008709454329091385871863176409983'-- param-latex: $N$-  params:+- params:     sigma: '8.5313'     variable: N   number: '837452617050'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5313'     variable: c4   number: '370144611198704356538186636973796225'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5313'     variable: c6   number: '223177597427914922994363038172070131750937546637213375'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5253'     variable: sigma   number: '8.525311491260141405874174915481630261757835509685810454763661282141218193779898487700766103904041528'-- param-latex: $N$-  params:+- params:     sigma: '8.5253'     variable: N   number: '128310'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5253'     variable: c4   number: '4257946518705889'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5253'     variable: c6   number: '-126309683930544316277713'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5175'     variable: sigma   number: '8.517543951790708020085423173320667526219883246875950465389452812539310338686856798577821036587558182'-- param-latex: $N$-  params:+- params:     sigma: '8.5175'     variable: N   number: '3870'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5175'     variable: c4   number: '-51939339471'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5175'     variable: c6   number: '-78179511999813417'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5166'     variable: sigma   number: '8.516660933972458033544544784211473306412027390136766278999841315323825763194689400715482956191953390'-- param-latex: $N$-  params:+- params:     sigma: '8.5166'     variable: N   number: '97974'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5166'     variable: c4   number: '-92853396958095'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5166'     variable: c6   number: '-74565847316876095734921'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5021'     variable: sigma   number: '8.502119002052766164860204713612952235507200536926261201358163750379223673922152740260598809224419195'-- param-latex: $N$-  params:+- params:     sigma: '8.5021'     variable: N   number: '29070'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5021'     variable: c4   number: '106560885876849'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5021'     variable: c6   number: '1167726355008281252343'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5012'     variable: sigma   number: '8.501277293801510842261925078527485384697982537819576824173871417260444747556455629227571924647811386'-- param-latex: $N$-  params:+- params:     sigma: '8.5012'     variable: N   number: '532837573905'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5012'     variable: c4   number: '46875947016507288758867196829681849'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5012'     variable: c6   number: '-10558722942217181837747422248922106816631461912095757'-- param-latex: $\sigma$-  params:+- params:     sigma: '8.5006'     variable: sigma   number: '8.500681626687463855826261810935702356649515017265623690267129476308170194458793093372284289793642705'-- param-latex: $N$-  params:+- params:     sigma: '8.5006'     variable: N   number: '1172433663870'-- param-latex: $c_4$-  params:+- params:     sigma: '8.5006'     variable: c4   number: '725483437949460538814845808468640601'-- param-latex: $c_6$-  params:+- params:     sigma: '8.5006'     variable: c6 

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