Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 34225.7-CMb over \(\Q(\sqrt{-1}) \)
Isogeny class 34225.7-CMb contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
34225.7-CMb1 | \( \bigl[i + 1\) , \( i\) , \( i\) , \( 50 i + 90\) , \( 45 i - 25\bigr] \) |