Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 625.3-CMb over \(\Q(\sqrt{-1}) \)
Isogeny class 625.3-CMb contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
625.3-CMb1 | \( \bigl[i + 1\) , \( i\) , \( 1\) , \( -13 i + 5\) , \( 3 i + 6\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)