Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 27225.5-k over \(\Q(\sqrt{-11}) \)
Isogeny class 27225.5-k contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
27225.5-k1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -5991\) , \( 176501\bigr] \) |
27225.5-k2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -51\) , \( 380\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)