Base field \(\Q(\sqrt{-19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 5 \); class number \(1\).
Elliptic curves in class 196.1-a over \(\Q(\sqrt{-19}) \)
Isogeny class 196.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 196.1-a1 | \( \bigl[a\) , \( -a - 1\) , \( a\) , \( a + 3\) , \( -2 a + 2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
