Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 13778.1-a over \(\Q(\sqrt{-1}) \)
Isogeny class 13778.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
13778.1-a1 | \( \bigl[i\) , \( -1\) , \( 0\) , \( -6\) , \( -4\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)