Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 228.1-m over \(\Q(\sqrt{57}) \)
Isogeny class 228.1-m contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 228.1-m1 | \( \bigl[1\) , \( a - 1\) , \( a\) , \( 12 a + 46\) , \( -238 a - 784\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
