Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 4900.2-f over \(\Q(\sqrt{-7}) \)
Isogeny class 4900.2-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4900.2-f1 | \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 5 a - 10\) , \( 9 a - 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
