Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 9216.7-f over \(\Q(\sqrt{-7}) \)
Isogeny class 9216.7-f contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 9216.7-f1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -a - 2\) , \( -1\bigr] \) |
| 9216.7-f2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( -6 a - 7\) , \( 15 a - 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
