Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 29241.12-a over \(\Q(\sqrt{-2}) \)
Isogeny class 29241.12-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 29241.12-a1 | \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -8 a + 10\) , \( -15 a - 15\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
