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 |
67830.bz2 |
67830bz6 |
67830.bz |
67830bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.6.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$271320$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$2$ |
$4478976$ |
$2.877647$ |
$1640729605302312040170582481/50078778067225044900$ |
$0.98926$ |
$5.63293$ |
$[1, 0, 0, -24571845, -46882663875]$ |
\(y^2+xy=x^3-24571845x-46882663875\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 380.12.0.?, $\ldots$ |
$[]$ |
203490.r2 |
203490db6 |
203490.r |
203490db |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$271320$ |
$384$ |
$5$ |
$6.805983583$ |
$1$ |
|
$12$ |
$35831808$ |
$3.426952$ |
$1640729605302312040170582481/50078778067225044900$ |
$0.98926$ |
$5.66592$ |
$[1, -1, 0, -221146605, 1265831924625]$ |
\(y^2+xy=x^3-x^2-221146605x+1265831924625\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[(31365, 5002740)]$ |
339150.g2 |
339150g6 |
339150.g |
339150g |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 17^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$271320$ |
$384$ |
$5$ |
$1.854156033$ |
$1$ |
|
$6$ |
$107495424$ |
$3.682365$ |
$1640729605302312040170582481/50078778067225044900$ |
$0.98926$ |
$5.67932$ |
$[1, 1, 0, -614296125, -5860332984375]$ |
\(y^2+xy=x^3+x^2-614296125x-5860332984375\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.1, 24.48.0.o.1, $\ldots$ |
$[(42750, 6761625)]$ |
474810.di2 |
474810di6 |
474810.di |
474810di |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 17^{6} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$271320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$214990848$ |
$3.850601$ |
$1640729605302312040170582481/50078778067225044900$ |
$0.98926$ |
$5.68757$ |
$[1, 1, 1, -1204020406, 16079549688719]$ |
\(y^2+xy+y=x^3+x^2-1204020406x+16079549688719\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 21.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$ |
$[]$ |