Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 14641.3-a over \(\Q(\sqrt{-2}) \)
Isogeny class 14641.3-a contains 2 curves linked by isogenies of degree 11.
| Curve label | Weierstrass Coefficients |
|---|---|
| 14641.3-a1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \) |
| 14641.3-a2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -305\) , \( 7888\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)
Isogeny graph
