Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 20736.1-CMb over \(\Q(\sqrt{-1}) \)
Isogeny class 20736.1-CMb contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 20736.1-CMb1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 9\) , \( 0\bigr] \) |
| 20736.1-CMb2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 99\) , \( -378 i\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
