Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22500.8-j over \(\Q(\sqrt{-11}) \)
Isogeny class 22500.8-j contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
22500.8-j1 | \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -23 a + 9\) , \( -39 a + 54\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)