Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 10019.3-a over \(\Q(\sqrt{-7}) \)
Isogeny class 10019.3-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 10019.3-a1 | \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -2 a + 2\) , \( -2 a + 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
