Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 74529.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 74529.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 74529.2-b1 | \( \bigl[0\) , \( 1\) , \( i\) , \( -26\) , \( -68\bigr] \) |