Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 1089.2-b over \(\Q(\sqrt{-11}) \)
Isogeny class 1089.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1089.2-b1 | \( \bigl[0\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)