Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 41209.2-c over \(\Q(\sqrt{-1}) \)
Isogeny class 41209.2-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 41209.2-c1 | \( \bigl[i\) , \( -1\) , \( 0\) , \( -9\) , \( -8\bigr] \) |
| 41209.2-c2 | \( \bigl[i\) , \( -1\) , \( 0\) , \( -154\) , \( -675\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
