Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 18496.1-b over \(\Q(\sqrt{-11}) \)
Isogeny class 18496.1-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
18496.1-b1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -8\) , \( -4\bigr] \) |
18496.1-b2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -48\) , \( 140\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)