| 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 |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 46410.be1 |
46410be8 |
46410.be |
46410be |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$185640$ |
$384$ |
$5$ |
$10.04495921$ |
$1$ |
|
$0$ |
$3649536$ |
$3.000771$ |
$52615951054626272117608441/29030877531795041917560$ |
$1.01125$ |
$5.51173$ |
$[1, 0, 1, -7806648, 1811198446]$ |
\(y^2+xy+y=x^3-7806648x+1811198446\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(52517/4, 6773751/4)]$ |
| 139230.df1 |
139230z8 |
139230.df |
139230z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{3} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17^{12} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$185640$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$4$ |
$29196288$ |
$3.550076$ |
$52615951054626272117608441/29030877531795041917560$ |
$1.01125$ |
$5.55702$ |
$[1, -1, 1, -70259828, -48902358049]$ |
\(y^2+xy+y=x^3-x^2-70259828x-48902358049\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
| 232050.ek1 |
232050ek7 |
232050.ek |
232050ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 13^{3} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$5.473100738$ |
$1$ |
|
$0$ |
$87588864$ |
$3.805489$ |
$52615951054626272117608441/29030877531795041917560$ |
$1.01125$ |
$5.57534$ |
$[1, 1, 1, -195166188, 226399805781]$ |
\(y^2+xy+y=x^3+x^2-195166188x+226399805781\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[(165295/3, 45233419/3)]$ |
| 324870.m1 |
324870m8 |
324870.m |
324870m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{7} \cdot 13^{3} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$5.303920565$ |
$1$ |
|
$2$ |
$175177728$ |
$3.973724$ |
$52615951054626272117608441/29030877531795041917560$ |
$1.01125$ |
$5.58660$ |
$[1, 1, 0, -382525728, -621623592792]$ |
\(y^2+xy=x^3+x^2-382525728x-621623592792\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(-9947, 1487977)]$ |
| 371280.by1 |
371280by8 |
371280.by |
371280by |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13^{3} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$87588864$ |
$3.693916$ |
$52615951054626272117608441/29030877531795041917560$ |
$1.01125$ |
$5.26662$ |
$[0, -1, 0, -124906360, -115916700560]$ |
\(y^2=x^3-x^2-124906360x-115916700560\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[]$ |
