Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 171.1-d over \(\Q(\sqrt{19}) \)
Isogeny class 171.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 171.1-d1 | \( \bigl[a\) , \( 0\) , \( 1\) , \( -659572 a - 2874998\) , \( -609801836 a - 2658064575\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
