Base field \(\Q(\sqrt{-67}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 17 \); class number \(1\).
Elliptic curves in class 603.1-c over \(\Q(\sqrt{-67}) \)
Isogeny class 603.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 603.1-c1 | \( \bigl[0\) , \( -1\) , \( 1\) , \( 2\) , \( 0\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
