Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 121.1-e over \(\Q(\sqrt{19}) \)
Isogeny class 121.1-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 121.1-e1 | \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -129 a + 566\) , \( -1092 a + 4761\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
