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 30625.3-c over \(\Q(\sqrt{-1}) \)
Isogeny class 30625.3-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 30625.3-c1 | \( \bigl[1\) , \( -i + 1\) , \( 0\) , \( 5 i - 12\) , \( 13 i - 5\bigr] \) |