Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 49284.5-h over \(\Q(\sqrt{-11}) \)
Isogeny class 49284.5-h contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
49284.5-h1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -148\) , \( -706\bigr] \) |
49284.5-h2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 2\) , \( -4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)