Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 12800.7-c over \(\Q(\sqrt{-7}) \)
Isogeny class 12800.7-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12800.7-c1 | \( \bigl[0\) , \( a\) , \( 0\) , \( 31 a + 30\) , \( -367 a - 98\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
