Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 18225.3-c over \(\Q(\sqrt{-1}) \)
Isogeny class 18225.3-c contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 18225.3-c1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( i - 1\bigr] \) |
| 18225.3-c2 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -27 i + 20\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
