Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 21609.2-c over \(\Q(\sqrt{-2}) \)
Isogeny class 21609.2-c contains 2 curves linked by isogenies of degree 13.
| Curve label | Weierstrass Coefficients |
|---|---|
| 21609.2-c1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -44704\) , \( -3655907\bigr] \) |
| 21609.2-c2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -114\) , \( 473\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)
Isogeny graph
