Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 228.1-k over \(\Q(\sqrt{57}) \)
Isogeny class 228.1-k contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 228.1-k1 | \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -13 a + 58\) , \( 237 a - 1022\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
