Base field \(\Q(\sqrt{77}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 19 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 25.1-a over \(\Q(\sqrt{77}) \)
Isogeny class 25.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.1-a1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( -a - 4\) , \( -2 a - 8\bigr] \) |