Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 676.1-f over \(\Q(\sqrt{7}) \)
Isogeny class 676.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 676.1-f1 | \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 3 a + 8\) , \( -4 a - 11\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
