Base field \(\Q(\sqrt{-1}) \)
Generator \(i\), with minimal polynomial \( x^{2} + 1 \); class number \(1\).
Elliptic curves in class 57600.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 57600.3-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 57600.3-a1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -12 i - 24\) , \( 36 i + 36\bigr] \) |
| 57600.3-a2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 3 i - 4\) , \( 6 i - 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
