Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 5525.5-a over \(\Q(\sqrt{-1}) \)
Isogeny class 5525.5-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
5525.5-a1 | \( \bigl[1\) , \( -i\) , \( 1\) , \( -6 i - 11\) , \( 14 i + 8\bigr] \) |
5525.5-a2 | \( \bigl[i\) , \( i\) , \( i\) , \( -i\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)