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 |
252.a1 |
252b2 |
252.a |
252b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.195549380$ |
$1$ |
|
$13$ |
$96$ |
$0.225320$ |
$20720464/63$ |
$0.91015$ |
$5.24168$ |
$[0, 0, 0, -327, 2270]$ |
\(y^2=x^3-327x+2270\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(7, 18)]$ |
252.a2 |
252b1 |
252.a |
252b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.097774690$ |
$1$ |
|
$17$ |
$48$ |
$-0.121254$ |
$-16384/147$ |
$1.05520$ |
$3.95555$ |
$[0, 0, 0, -12, 65]$ |
\(y^2=x^3-12x+65\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(-2, 9)]$ |
252.b1 |
252a4 |
252.b |
252a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$288$ |
$0.964115$ |
$2640279346000/3087$ |
$1.02245$ |
$7.36762$ |
$[0, 0, 0, -16455, 812446]$ |
\(y^2=x^3-16455x+812446\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 28.6.0.a.1, $\ldots$ |
$[]$ |
252.b2 |
252a3 |
252.b |
252a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$144$ |
$0.617541$ |
$-10061824000/352947$ |
$1.07286$ |
$5.86953$ |
$[0, 0, 0, -1020, 12913]$ |
\(y^2=x^3-1020x+12913\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 28.6.0.b.1, 84.96.1.? |
$[]$ |
252.b3 |
252a2 |
252.b |
252a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{12} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$96$ |
$0.414809$ |
$9826000/5103$ |
$0.97243$ |
$5.10675$ |
$[0, 0, 0, -255, 502]$ |
\(y^2=x^3-255x+502\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 28.6.0.a.1, $\ldots$ |
$[]$ |
252.b4 |
252a1 |
252.b |
252a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$0.068235$ |
$2048000/1323$ |
$1.10843$ |
$4.32172$ |
$[0, 0, 0, 60, 61]$ |
\(y^2=x^3+60x+61\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 28.6.0.b.1, 84.96.1.? |
$[]$ |