Base field \(\Q(\sqrt{209}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 52 \); class number \(1\).
Elliptic curves in class 10.1-d over \(\Q(\sqrt{209}) \)
Isogeny class 10.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 10.1-d1 | \( \bigl[a\) , \( 0\) , \( 1\) , \( -265 a - 1737\) , \( 31126 a + 209482\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
