Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 729.1-h over \(\Q(\sqrt{2}) \)
Isogeny class 729.1-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 729.1-h1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 3 a - 9\) , \( -8 a + 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
