Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 98568.2-c over \(\Q(\sqrt{-1}) \)
Isogeny class 98568.2-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 98568.2-c1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -3\) , \( -36\bigr] \) |
| 98568.2-c2 | \( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 47\) , \( -116 i\bigr] \) |