Base field \(\Q(\sqrt{-163}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).
Elliptic curves in class 652.1-a over \(\Q(\sqrt{-163}) \)
Isogeny class 652.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 652.1-a1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -80\) , \( -256\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
