Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 171.1-a over \(\Q(\sqrt{19}) \)
Isogeny class 171.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 171.1-a1 | \( \bigl[1\) , \( 1\) , \( a\) , \( -659572 a - 2875005\) , \( 608482693 a + 2652314563\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
