Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 8.3-a over \(\Q(\sqrt{217}) \)
Isogeny class 8.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 8.3-a1 | \( \bigl[0\) , \( -a + 1\) , \( a\) , \( 5238176497 a + 35962490874\) , \( -66537844035834579 a - 456812902144981867\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
