Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 86436.1-e over \(\Q(\sqrt{-1}) \)
Isogeny class 86436.1-e contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
86436.1-e1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -457\) , \( -2960\bigr] \) |
86436.1-e2 | \( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 543\) , \( 4603 i\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)