Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 39204.1-a over \(\Q(\sqrt{-1}) \)
Isogeny class 39204.1-a contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
39204.1-a1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 24\) , \( 25\bigr] \) |
39204.1-a2 | \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 27\) , \( 40 i\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)