Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 28672.5-n over \(\Q(\sqrt{-7}) \)
Isogeny class 28672.5-n contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28672.5-n1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1\) , \( a - 1\bigr] \) |
| 28672.5-n2 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 9\) , \( 7 a + 9\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
