Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 26896.1-b over \(\Q(\sqrt{-7}) \)
Isogeny class 26896.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
26896.1-b1 | \( \bigl[0\) , \( a + 1\) , \( a\) , \( 24 a - 32\) , \( 68 a - 65\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)