Base field \(\Q(\sqrt{-13}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 13 \); class number \(2\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 256.1-b over \(\Q(\sqrt{-13}) \)
Isogeny class 256.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 256.1-b1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 7\) , \( -2 a\bigr] \) |