Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 7200.2-f over \(\Q(\sqrt{-2}) \)
Isogeny class 7200.2-f contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 7200.2-f1 | \( \bigl[0\) , \( a\) , \( 0\) , \( 5\) , \( -a\bigr] \) |
| 7200.2-f2 | \( \bigl[0\) , \( a\) , \( 0\) , \( 7\) , \( -3 a\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
