Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 24642.2-g over \(\Q(\sqrt{-2}) \)
Isogeny class 24642.2-g contains 2 curves linked by isogenies of degree 3.
Curve label | Weierstrass Coefficients |
---|---|
24642.2-g1 | \( \bigl[1\) , \( 0\) , \( 0\) , \( -148\) , \( -706\bigr] \) |
24642.2-g2 | \( \bigl[1\) , \( 0\) , \( 0\) , \( 2\) , \( -4\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)