Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 228.1-j over \(\Q(\sqrt{57}) \)
Isogeny class 228.1-j contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 228.1-j1 | \( \bigl[1\) , \( -a - 1\) , \( a\) , \( -20689 a - 67751\) , \( 3186545 a + 10435669\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
