Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 256.6-a over \(\Q(\sqrt{57}) \)
Isogeny class 256.6-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 256.6-a1 | \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 32413 a - 138528\) , \( 6138814 a - 26242882\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
