Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 5408.2-f over \(\Q(\sqrt{-7}) \)
Isogeny class 5408.2-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
5408.2-f1 | \( \bigl[a\) , \( -a\) , \( a\) , \( -2 a + 2\) , \( 2 a - 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)