Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 29241.4-d over \(\Q(\sqrt{-2}) \)
Isogeny class 29241.4-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
29241.4-d1 | \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 51 a + 42\) , \( 54 a + 299\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)