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 |
46410.h3 |
46410i1 |
46410.h |
46410i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3 \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$2184$ |
$48$ |
$0$ |
$5.953223749$ |
$1$ |
|
$3$ |
$46448640$ |
$4.089645$ |
$68089988046149164570007733493682089/28060999477855518720000$ |
$[1, 1, 0, -8507197498, 302011019305108]$ |
\(y^2+xy=x^3+x^2-8507197498x+302011019305108\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[(54933, 648275)]$ |
139230.en3 |
139230j1 |
139230.en |
139230j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$3.523302865$ |
$1$ |
|
$5$ |
$371589120$ |
$4.638954$ |
$68089988046149164570007733493682089/28060999477855518720000$ |
$[1, -1, 1, -76564777487, -8154374086015401]$ |
\(y^2+xy+y=x^3-x^2-76564777487x-8154374086015401\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(-159753, 81206)]$ |
232050.fy3 |
232050fy1 |
232050.fy |
232050fy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3 \cdot 5^{10} \cdot 7^{3} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1114767360$ |
$4.894363$ |
$68089988046149164570007733493682089/28060999477855518720000$ |
$[1, 0, 0, -212679937463, 37751802773013417]$ |
\(y^2+xy=x^3-212679937463x+37751802773013417\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
324870.cl3 |
324870cl1 |
324870.cl |
324870cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3 \cdot 5^{4} \cdot 7^{9} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$26.11377152$ |
$1$ |
|
$1$ |
$2229534720$ |
$5.062599$ |
$68089988046149164570007733493682089/28060999477855518720000$ |
$[1, 0, 1, -416852677428, -103591030179684302]$ |
\(y^2+xy+y=x^3-416852677428x-103591030179684302\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[(28377076074946/97, 151163696240845262435/97)]$ |
371280.ds3 |
371280ds1 |
371280.ds |
371280ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{48} \cdot 3 \cdot 5^{4} \cdot 7^{3} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$1114767360$ |
$4.782799$ |
$68089988046149164570007733493682089/28060999477855518720000$ |
$[0, 1, 0, -136115159976, -19328977465846860]$ |
\(y^2=x^3+x^2-136115159976x-19328977465846860\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[]$ |