Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 27225.2-g over \(\Q(\sqrt{-11}) \)
Isogeny class 27225.2-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
27225.2-g1 | \( \bigl[a + 1\) , \( -1\) , \( a\) , \( 127 a - 384\) , \( -3063 a + 5599\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)