Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 28672.5-b over \(\Q(\sqrt{-7}) \)
Isogeny class 28672.5-b contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 28672.5-b1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3\) , \( -3 a + 5\bigr] \) |
| 28672.5-b2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a - 14\) , \( -2 a + 20\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
