Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 11858.2-a over \(\Q(\sqrt{-2}) \)
Isogeny class 11858.2-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 11858.2-a1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -29\) , \( 69\bigr] \) |
| 11858.2-a2 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -469\) , \( 4029\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
