Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 2704.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 2704.2-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2704.2-b1 | \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( -6 i - 2\) , \( 4 i - 4\bigr] \) |