Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 27225.1-f over \(\Q(\sqrt{-11}) \)
Isogeny class 27225.1-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
27225.1-f1 | \( \bigl[0\) , \( -a\) , \( a + 1\) , \( 8 a + 30\) , \( -54 a + 59\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)