Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 256.6-b over \(\Q(\sqrt{57}) \)
Isogeny class 256.6-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 256.6-b1 | \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 5 a + 15\) , \( 3 a + 13\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
