Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 729.1-i over \(\Q(\sqrt{2}) \)
Isogeny class 729.1-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 729.1-i1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -27 a - 81\) , \( -216 a - 196\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
