Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 171.1-g over \(\Q(\sqrt{57}) \)
Isogeny class 171.1-g contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 171.1-g1 | \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -2 a - 2\) , \( 8 a + 29\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
