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 34848.13-e over \(\Q(\sqrt{-7}) \)
Isogeny class 34848.13-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 34848.13-e1 | \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 4 a - 1\) , \( -2 a - 3\bigr] \) |