Base field \(\Q(\sqrt{-10}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 10 \); class number \(2\).
Elliptic curves in class 800.1-e over \(\Q(\sqrt{-10}) \)
Isogeny class 800.1-e contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 800.1-e1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 20\) , \( 0\bigr] \) |
| 800.1-e2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -5\) , \( 0\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
