Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 13456.1-e over \(\Q(\sqrt{-2}) \)
Isogeny class 13456.1-e contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 13456.1-e1 | \( \bigl[a\) , \( 0\) , \( a\) , \( -1819\) , \( -29786\bigr] \) |
| 13456.1-e2 | \( \bigl[a\) , \( 0\) , \( a\) , \( 21\) , \( 54\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
