Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 8.3-b over \(\Q(\sqrt{217}) \)
Isogeny class 8.3-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.3-b1 | \( \bigl[0\) , \( a - 1\) , \( a\) , \( 17 a - 118\) , \( 63 a - 499\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
