Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 16200.2-e over \(\Q(\sqrt{-1}) \)
Isogeny class 16200.2-e contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
16200.2-e1 | \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 6\) , \( 64 i\bigr] \) |
16200.2-e2 | \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 276\) , \( 1900 i\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)