Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 67600.8-f over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.8-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 67600.8-f1 | \( \bigl[0\) , \( i - 1\) , \( i + 1\) , \( 67 i + 18\) , \( -75 i - 233\bigr] \) |