Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 5202.2-a over \(\Q(\sqrt{-1}) \)
Isogeny class 5202.2-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
5202.2-a1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 8\) , \( 10\bigr] \) |
5202.2-a2 | \( \bigl[i\) , \( -1\) , \( 0\) , \( -2\) , \( 0\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)