Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 8.4-b over \(\Q(\sqrt{217}) \)
Isogeny class 8.4-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.4-b1 | \( \bigl[0\) , \( -a\) , \( a + 1\) , \( -17 a - 101\) , \( -64 a - 436\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
