Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 12.1-f over \(\Q(\sqrt{217}) \)
Isogeny class 12.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12.1-f1 | \( \bigl[1\) , \( a\) , \( a\) , \( 315558654 a - 2482013931\) , \( -10476032628218 a + 82398814876539\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
