Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 9216.1-h over \(\Q(\sqrt{-1}) \)
Isogeny class 9216.1-h contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
9216.1-h1 | \( \bigl[0\) , \( -i\) , \( 0\) , \( -2 i - 11\) , \( 7 i + 14\bigr] \) |
9216.1-h2 | \( \bigl[0\) , \( i\) , \( 0\) , \( -2 i - 1\) , \( i\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)