Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 8.4-a over \(\Q(\sqrt{57}) \)
Isogeny class 8.4-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.4-a1 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( a - 4\) , \( -7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
