Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 3872.15-a over \(\Q(\sqrt{-7}) \)
Isogeny class 3872.15-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 3872.15-a1 | \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -7 a + 20\) , \( 11 a + 80\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
