Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 13456.8-c over \(\Q(\sqrt{-7}) \)
Isogeny class 13456.8-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
13456.8-c1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -4831\) , \( -129242\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)