Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 16200.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 16200.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16200.3-a1 | \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 125 i + 36\) , \( 738 i + 414\bigr] \) |