Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 6272.5-f over \(\Q(\sqrt{-7}) \)
Isogeny class 6272.5-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6272.5-f1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 49\) , \( 98 a - 49\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
