Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 5776.2-d over \(\Q(\sqrt{-2}) \)
Isogeny class 5776.2-d contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 5776.2-d1 | \( \bigl[a\) , \( 0\) , \( a\) , \( -279\) , \( -1950\bigr] \) |
| 5776.2-d2 | \( \bigl[a\) , \( 0\) , \( a\) , \( 1\) , \( 10\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
