Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 4096.1-c over \(\Q(\sqrt{-11}) \)
Isogeny class 4096.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4096.1-c1 | \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 6\) , \( 4 a + 1\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)