Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 28672.5-k over \(\Q(\sqrt{-7}) \)
Isogeny class 28672.5-k contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28672.5-k1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( a + 18\) , \( 74 a - 60\bigr] \) |
| 28672.5-k2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 11 a - 12\) , \( 18 a - 4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
