Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 35739.2-a over \(\Q(\sqrt{-11}) \)
Isogeny class 35739.2-a contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
35739.2-a1 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -30063\) , \( -2016358\bigr] \) |
35739.2-a2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( -363\) , \( -2995\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)