Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 23716.5-f over \(\Q(\sqrt{-7}) \)
Isogeny class 23716.5-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
23716.5-f1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -625\) , \( 6173\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)