Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 2385.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 2385.3-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2385.3-a1 | \( \bigl[0\) , \( 1\) , \( i\) , \( -3 i\) , \( -2\bigr] \) |
| 2385.3-a2 | \( \bigl[0\) , \( 1\) , \( i\) , \( 27 i\) , \( 24 i + 61\bigr] \) |