Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 82944.1-CMc over \(\Q(\sqrt{-1}) \)
Isogeny class 82944.1-CMc contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
82944.1-CMc1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -18 i\) , \( 0\bigr] \) |
82944.1-CMc2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -198 i\) , \( 756 i - 756\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)