Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 5625.2-a over \(\Q(\sqrt{-2}) \)
Isogeny class 5625.2-a contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5625.2-a1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -208\) , \( -1256\bigr] \) |
| 5625.2-a2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
