Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
18354.t1 |
18354u1 |
18354.t |
18354u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 7^{15} \cdot 19^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.122165006$ |
$1$ |
|
$6$ |
$28331520$ |
$4.512642$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, 1, 1, 2757292910, 46968580536863]$ |
\(y^2+xy+y=x^3+x^2+2757292910x+46968580536863\) |
3864.2.0.? |
$[(65797, 22622055)]$ |
55062.g1 |
55062t1 |
55062.g |
55062t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{15} \cdot 19^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$226652160$ |
$5.061951$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, -1, 0, 24815636190, -1268126858859116]$ |
\(y^2+xy=x^3-x^2+24815636190x-1268126858859116\) |
3864.2.0.? |
$[]$ |
128478.cp1 |
128478cm1 |
128478.cp |
128478cm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 7^{21} \cdot 19^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.667669066$ |
$1$ |
|
$0$ |
$1359912960$ |
$5.485596$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, 0, 0, 135107352589, -16109817802086303]$ |
\(y^2+xy=x^3+135107352589x-16109817802086303\) |
3864.2.0.? |
$[(454498542/11, 9731758752987/11)]$ |
146832.bl1 |
146832l1 |
146832.bl |
146832l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{29} \cdot 3 \cdot 7^{15} \cdot 19^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$150.3211830$ |
$1$ |
|
$0$ |
$679956480$ |
$5.205788$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[0, 1, 0, 44116686560, -3005900920986124]$ |
\(y^2=x^3+x^2+44116686560x-3005900920986124\) |
3864.2.0.? |
$[(55214279420524103466111843096292300930102648687885400829471028364650/8618299370011962827131066035261, 424892792277966695940164964825171833410833765355823404645449767719027391907474736146900221838840940544/8618299370011962827131066035261)]$ |
348726.be1 |
348726be1 |
348726.be |
348726be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 7^{15} \cdot 19^{8} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$14.17427002$ |
$1$ |
|
$0$ |
$10199347200$ |
$5.984863$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, 0, 1, 995382740502, -322149530840420516]$ |
\(y^2+xy+y=x^3+995382740502x-322149530840420516\) |
3864.2.0.? |
$[(66224922463/86, 17141271522171079/86)]$ |
385434.bv1 |
385434bv1 |
385434.bv |
385434bv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{21} \cdot 19^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$103.3728883$ |
$1$ |
|
$0$ |
$10879303680$ |
$6.034904$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, -1, 0, 1215966173301, 434965080656330181]$ |
\(y^2+xy=x^3-x^2+1215966173301x+434965080656330181\) |
3864.2.0.? |
$[(76649080565275681513857429328797087623578983172551/6202711175765578192015, 782737964305222227933242300242057012297233221826417170323066751664974006829/6202711175765578192015)]$ |
422142.ci1 |
422142ci1 |
422142.ci |
422142ci |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \) |
\( - 2^{17} \cdot 3 \cdot 7^{15} \cdot 19^{2} \cdot 23^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$16.16103660$ |
$1$ |
|
$0$ |
$14959042560$ |
$6.080391$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, 1, 1, 1458607949379, -571452133312520493]$ |
\(y^2+xy+y=x^3+x^2+1458607949379x-571452133312520493\) |
3864.2.0.? |
$[(96425136015/479, 37371230803592164/479)]$ |
440496.bg1 |
440496bg1 |
440496.bg |
440496bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{29} \cdot 3^{7} \cdot 7^{15} \cdot 19^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5439651840$ |
$5.755096$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[0, 0, 0, 397050179037, 81159721916804386]$ |
\(y^2=x^3+397050179037x+81159721916804386\) |
3864.2.0.? |
$[]$ |
458850.cc1 |
458850cc1 |
458850.cc |
458850cc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 5^{6} \cdot 7^{15} \cdot 19^{2} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$483.6614484$ |
$1$ |
|
$0$ |
$3966412800$ |
$5.317360$ |
$2318314888982052959258980764303839/2294583335871127030705847402496$ |
$[1, 0, 1, 68932322749, 5870934702462398]$ |
\(y^2+xy+y=x^3+68932322749x+5870934702462398\) |
3864.2.0.? |
$[(1980817644582559658521610853375288718154684266122273552361609623002072326986066941619346418013973842987364185241475630622190816411342763002680989670503796314962675831006934423097183450004486185566046392037871106/3511018160682213007977035942274728518881873554120746681819339134710110055883151937718605463679132676909, 6282932033044878400088603844361002401735488243225030537291223593505395195875900188595819322032660775688864680476485097075652465754473728207086377724200388717628744096990126371574336522256694153006725997066612661793424602737870195265213601081079705240184931372518634944418854123782283546958027052452437715764881540624/3511018160682213007977035942274728518881873554120746681819339134710110055883151937718605463679132676909)]$ |