Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 1124.2-a over \(\Q(\sqrt{2}) \)
Isogeny class 1124.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1124.2-a1 | \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -4 a - 13\) , \( -4 a - 24\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)