Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 33282.5-g over \(\Q(\sqrt{-2}) \)
Isogeny class 33282.5-g contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 33282.5-g1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -59901\) , \( -5648523\bigr] \) |
| 33282.5-g2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 159\) , \( 1737\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
