Base field \(\Q(\sqrt{-19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 5 \); class number \(1\).
Elliptic curves in class 175.5-a over \(\Q(\sqrt{-19}) \)
Isogeny class 175.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 175.5-a1 | \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
