Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 50625.3-CMd over \(\Q(\sqrt{-1}) \)
Isogeny class 50625.3-CMd contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
50625.3-CMd1 | \( \bigl[i + 1\) , \( i\) , \( 1\) , \( -113 i + 55\) , \( 28 i + 56\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)