Base field \(\Q(\sqrt{249}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 62 \); class number \(1\).
Elliptic curves in class 8.1-c over \(\Q(\sqrt{249}) \)
Isogeny class 8.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.1-c1 | \( \bigl[a\) , \( -a\) , \( a\) , \( -64 a + 530\) , \( 1632 a - 13681\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
