Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 2800.3-b over \(\Q(\sqrt{-7}) \)
Isogeny class 2800.3-b contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 2800.3-b1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -805\) , \( -9065\bigr] \) |
| 2800.3-b2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -5\) , \( -25\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
