Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 40000.1-a over \(\Q(\sqrt{-7}) \)
Isogeny class 40000.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 40000.1-a1 | \( \bigl[0\) , \( -1\) , \( a\) , \( -25 a + 17\) , \( -44 a - 100\bigr] \) |