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 |
210.e6 |
210e2 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$14$ |
$256$ |
$0.754708$ |
$135487869158881/51438240000$ |
$[1, 0, 0, -1070, 7812]$ |
\(y^2+xy=x^3-1070x+7812\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 28.48.0-28.c.1.1, 48.192.1-48.f.2.3, $\ldots$ |
46410.ck6 |
46410cn2 |
46410.ck |
46410cn |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$371280$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$14$ |
$3145728$ |
$2.779636$ |
$72727020009972527154752161/265361167808100000000$ |
$[1, 0, 0, -8696090, 9838496100]$ |
\(y^2+xy=x^3-8696090x+9838496100\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 240.192.1.?, 476.48.0.?, $\ldots$ |
82110.bs5 |
82110bt2 |
82110.bs |
82110bt |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$656880$ |
$768$ |
$13$ |
$2.034865242$ |
$1$ |
|
$36$ |
$14680064$ |
$3.300953$ |
$13350979617415439280823624321/363628103290905600000000$ |
$[1, 0, 0, -49423080, 130545230400]$ |
\(y^2+xy=x^3-49423080x+130545230400\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 240.192.1.?, 644.48.0.?, $\ldots$ |
110670.cm5 |
110670cp2 |
110670.cm |
110670cp |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 31 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 17^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$177072$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$14$ |
$98566144$ |
$4.068329$ |
$1305195379419707692723460338574401/268915325631261926400000000$ |
$[1, 0, 0, -2276760100, 41806588162832]$ |
\(y^2+xy=x^3-2276760100x+41806588162832\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 336.192.1.?, 816.192.2.?, $\ldots$ |
249690.cj6 |
249690cj2 |
249690.cj |
249690cj |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 29 \cdot 41 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 29^{4} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$1997520$ |
$768$ |
$13$ |
$4.745614618$ |
$1$ |
|
$22$ |
$190840832$ |
$4.033775$ |
$33716734605576776462761920782881/4496908623986020832100000000$ |
$[1, 0, 0, -673039570, -5895575919100]$ |
\(y^2+xy=x^3-673039570x-5895575919100\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 164.48.0.?, 328.192.1.?, $\ldots$ |
266910.ck5 |
266910ck2 |
266910.ck |
266910ck |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31 \cdot 41 \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{8} \cdot 7^{4} \cdot 31^{2} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$101680$ |
$768$ |
$13$ |
$5.628328977$ |
$1$ |
|
$22$ |
$1660944384$ |
$5.027771$ |
$279321867933339260687315798724918183361/7185070196198556975129600000000$ |
$[1, 0, 0, -136184310140, 19343222133507600]$ |
\(y^2+xy=x^3-136184310140x+19343222133507600\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 80.192.1.?, 124.48.0.?, $\ldots$ |