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 |
10005.k2 |
10005d3 |
10005.k |
10005d |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{4} \cdot 23^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$26680$ |
$48$ |
$0$ |
$1.593766933$ |
$1$ |
|
$4$ |
$7680$ |
$0.785313$ |
$512787603508921/45649063125$ |
$[1, 1, 0, -1667, -24804]$ |
\(y^2+xy=x^3+x^2-1667x-24804\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 58.6.0.a.1, 116.24.0.?, 920.24.0.?, $\ldots$ |
$[(-28, 44)]$ |
30015.b2 |
30015f3 |
30015.b |
30015f |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{8} \cdot 5^{4} \cdot 23^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1.116153823$ |
$1$ |
|
$4$ |
$61440$ |
$1.334620$ |
$512787603508921/45649063125$ |
$[1, -1, 1, -15008, 654702]$ |
\(y^2+xy+y=x^3-x^2-15008x+654702\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[(35, 396)]$ |
50025.e2 |
50025v3 |
50025.e |
50025v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{10} \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.590031$ |
$512787603508921/45649063125$ |
$[1, 0, 0, -41688, -3017133]$ |
\(y^2+xy=x^3-41688x-3017133\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[]$ |
150075.bi2 |
150075bi3 |
150075.bi |
150075bi |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{8} \cdot 5^{10} \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.139339$ |
$512787603508921/45649063125$ |
$[1, -1, 0, -375192, 81462591]$ |
\(y^2+xy=x^3-x^2-375192x+81462591\) |
2.3.0.a.1, 4.6.0.c.1, 58.6.0.a.1, 60.12.0-4.c.1.1, 116.12.0.?, $\ldots$ |
$[]$ |
160080.cm2 |
160080h3 |
160080.cm |
160080h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{4} \cdot 23^{4} \cdot 29 \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$26680$ |
$48$ |
$0$ |
$3.576154620$ |
$1$ |
|
$17$ |
$491520$ |
$1.478460$ |
$512787603508921/45649063125$ |
$[0, 1, 0, -26680, 1534100]$ |
\(y^2=x^3+x^2-26680x+1534100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 58.6.0.a.1, 116.24.0.?, 920.24.0.?, $\ldots$ |
$[(23, 966), (140, 750)]$ |
230115.w2 |
230115w3 |
230115.w |
230115w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3^{2} \cdot 5^{4} \cdot 23^{10} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26680$ |
$48$ |
$0$ |
$5.260544635$ |
$1$ |
|
$0$ |
$4055040$ |
$2.353058$ |
$512787603508921/45649063125$ |
$[1, 1, 0, -882118, 292969963]$ |
\(y^2+xy=x^3+x^2-882118x+292969963\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 58.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(14659/6, 220523/6)]$ |
290145.i2 |
290145i4 |
290145.i |
290145i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 23^{4} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$26680$ |
$48$ |
$0$ |
$2.511223117$ |
$1$ |
|
$2$ |
$6451200$ |
$2.468960$ |
$512787603508921/45649063125$ |
$[1, 0, 0, -1402385, -588117900]$ |
\(y^2+xy=x^3-1402385x-588117900\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 58.6.0.a.1, 116.24.0.?, 920.24.0.?, $\ldots$ |
$[(2100, 74640)]$ |
480240.bp2 |
480240bp4 |
480240.bp |
480240bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{4} \cdot 23^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$80040$ |
$48$ |
$0$ |
$4.751133578$ |
$1$ |
|
$3$ |
$3932160$ |
$2.027767$ |
$512787603508921/45649063125$ |
$[0, 0, 0, -240123, -41660822]$ |
\(y^2=x^3-240123x-41660822\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[(879, 20650)]$ |
490245.bt2 |
490245bt3 |
490245.bt |
490245bt |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 23^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$186760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2949120$ |
$1.758268$ |
$512787603508921/45649063125$ |
$[1, 0, 1, -81709, 8262671]$ |
\(y^2+xy+y=x^3-81709x+8262671\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[]$ |