Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 736.2-b over \(\Q(\sqrt{2}) \)
Isogeny class 736.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 736.2-b1 | \( \bigl[a\) , \( -a\) , \( a\) , \( -3 a + 3\) , \( 6 a - 9\bigr] \) |