| 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 |
| 163254.l1 |
163254dh1 |
163254.l |
163254dh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{46} \cdot 3^{2} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1932$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25542144$ |
$3.263710$ |
$-78167567758120133372521/16416253960463056896$ |
$1.02340$ |
$5.27220$ |
$[1, 1, 0, -27228607, -63855158843]$ |
\(y^2+xy=x^3+x^2-27228607x-63855158843\) |
4.2.0.a.1, 1932.4.0.? |
$[]$ |
| 163254.cn1 |
163254bi1 |
163254.cn |
163254bi |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{46} \cdot 3^{2} \cdot 7^{2} \cdot 13^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$25116$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$332047872$ |
$4.546188$ |
$-78167567758120133372521/16416253960463056896$ |
$1.02340$ |
$6.55435$ |
$[1, 1, 1, -4601634671, -140266775804875]$ |
\(y^2+xy+y=x^3+x^2-4601634671x-140266775804875\) |
4.2.0.a.1, 25116.4.0.? |
$[]$ |
| 489762.bt1 |
489762bt1 |
489762.bt |
489762bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{46} \cdot 3^{8} \cdot 7^{2} \cdot 13^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$8372$ |
$4$ |
$0$ |
$25.30692669$ |
$1$ |
|
$0$ |
$2656382976$ |
$5.095490$ |
$-78167567758120133372521/16416253960463056896$ |
$1.02340$ |
$6.50786$ |
$[1, -1, 0, -41414712039, 3787161532019581]$ |
\(y^2+xy=x^3-x^2-41414712039x+3787161532019581\) |
4.2.0.a.1, 8372.4.0.? |
$[(-367225346415810/48827, 9402517720045040066267/48827)]$ |
| 489762.eb1 |
489762eb1 |
489762.eb |
489762eb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{46} \cdot 3^{8} \cdot 7^{2} \cdot 13^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$644$ |
$4$ |
$0$ |
$0.199247941$ |
$1$ |
|
$8$ |
$204337152$ |
$3.813015$ |
$-78167567758120133372521/16416253960463056896$ |
$1.02340$ |
$5.33323$ |
$[1, -1, 1, -245057468, 1723844231295]$ |
\(y^2+xy+y=x^3-x^2-245057468x+1723844231295\) |
4.2.0.a.1, 644.4.0.? |
$[(7797, 531909)]$ |
