Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 3872.11-a over \(\Q(\sqrt{-7}) \)
Isogeny class 3872.11-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
3872.11-a1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 13\) , \( -21 a + 11\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)