| 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 |
| 10005.k4 |
10005d1 |
10005.k |
10005d |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{8} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$26680$ |
$48$ |
$0$ |
$6.375067733$ |
$1$ |
|
$1$ |
$1920$ |
$0.092165$ |
$8477185319/21880935$ |
$0.82352$ |
$2.61670$ |
$[1, 1, 0, 43, 216]$ |
\(y^2+xy=x^3+x^2+43x+216\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 116.12.0.?, 232.24.0.?, $\ldots$ |
$[(-135/8, 6183/8)]$ |
| 30015.b4 |
30015f1 |
30015.b |
30015f |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 3^{14} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$4.464615295$ |
$1$ |
|
$3$ |
$15360$ |
$0.641472$ |
$8477185319/21880935$ |
$0.82352$ |
$2.97723$ |
$[1, -1, 1, 382, -5448]$ |
\(y^2+xy+y=x^3-x^2+382x-5448\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 232.12.0.?, 348.12.0.?, $\ldots$ |
$[(75, 626)]$ |
| 50025.e4 |
50025v1 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{8} \cdot 5^{7} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.896884$ |
$8477185319/21880935$ |
$0.82352$ |
$3.11994$ |
$[1, 0, 0, 1062, 24867]$ |
\(y^2+xy=x^3+1062x+24867\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 92.12.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
| 150075.bi4 |
150075bi1 |
150075.bi |
150075bi |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( - 3^{14} \cdot 5^{7} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.446190$ |
$8477185319/21880935$ |
$0.82352$ |
$3.38541$ |
$[1, -1, 0, 9558, -671409]$ |
\(y^2+xy=x^3-x^2+9558x-671409\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 232.12.0.?, 276.12.0.?, $\ldots$ |
$[]$ |
| 160080.cm4 |
160080h1 |
160080.cm |
160080h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 23 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$26680$ |
$48$ |
$0$ |
$3.576154620$ |
$1$ |
|
$15$ |
$122880$ |
$0.785313$ |
$8477185319/21880935$ |
$0.82352$ |
$2.70538$ |
$[0, 1, 0, 680, -12460]$ |
\(y^2=x^3+x^2+680x-12460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 116.12.0.?, 232.24.0.?, $\ldots$ |
$[(38, 264), (23, 126)]$ |
| 230115.w4 |
230115w1 |
230115.w |
230115w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5 \cdot 23^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$21.04217854$ |
$1$ |
|
$1$ |
$1013760$ |
$1.659912$ |
$8477185319/21880935$ |
$0.82352$ |
$3.47593$ |
$[1, 1, 0, 22472, -2402477]$ |
\(y^2+xy=x^3+x^2+22472x-2402477\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 184.12.0.?, 232.12.0.?, $\ldots$ |
$[(12209090434/1435, 1340845922716357/1435)]$ |
| 290145.i4 |
290145i1 |
290145.i |
290145i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( - 3^{8} \cdot 5 \cdot 23 \cdot 29^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$26680$ |
$48$ |
$0$ |
$10.04489246$ |
$1$ |
|
$3$ |
$1612800$ |
$1.775814$ |
$8477185319/21880935$ |
$0.82352$ |
$3.52244$ |
$[1, 0, 0, 35725, 4837560]$ |
\(y^2+xy=x^3+35725x+4837560\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 232.24.0.?, 920.24.0.?, 6670.6.0.?, $\ldots$ |
$[(2392/9, 1762748/9)]$ |
| 480240.bp4 |
480240bp1 |
480240.bp |
480240bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5 \cdot 23 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$4.751133578$ |
$1$ |
|
$3$ |
$983040$ |
$1.334620$ |
$8477185319/21880935$ |
$0.82352$ |
$2.98206$ |
$[0, 0, 0, 6117, 342538]$ |
\(y^2=x^3+6117x+342538\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 232.12.0.?, 348.12.0.?, $\ldots$ |
$[(6, 616)]$ |
| 490245.bt4 |
490245bt1 |
490245.bt |
490245bt |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 3^{8} \cdot 5 \cdot 7^{6} \cdot 23 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$186760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.065121$ |
$8477185319/21880935$ |
$0.82352$ |
$2.73055$ |
$[1, 0, 1, 2081, -67819]$ |
\(y^2+xy+y=x^3+2081x-67819\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 232.12.0.?, 812.12.0.?, $\ldots$ |
$[]$ |
