Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 3969.1-a over \(\Q(\sqrt{-7}) \)
Isogeny class 3969.1-a contains 2 curves linked by isogenies of degree 13.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3969.1-a1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -8211\) , \( -286610\bigr] \) |
| 3969.1-a2 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -21\) , \( 40\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)
Isogeny graph
