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 1800.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 1800.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1800.3-a1 | \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( 14 i + 4\) , \( 26 i + 20\bigr] \) |