Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 2304.1-d over \(\Q(\sqrt{-1}) \)
Isogeny class 2304.1-d contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
2304.1-d1 | \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 6 i + 1\) , \( -5 i - 3\bigr] \) |
2304.1-d2 | \( \bigl[0\) , \( i + 1\) , \( 0\) , \( i + 1\) , \( i\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)