Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 5000.3-d over \(\Q(\sqrt{-1}) \)
Isogeny class 5000.3-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5000.3-d1 | \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -2\) , \( -2 i\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
