Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 16.3-c over \(\Q(\sqrt{57}) \)
Isogeny class 16.3-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 16.3-c1 | \( \bigl[a\) , \( 0\) , \( 0\) , \( -4 a + 24\) , \( -2 a + 12\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
