Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 24336.2-n over \(\Q(\sqrt{-2}) \)
Isogeny class 24336.2-n contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
24336.2-n1 | \( \bigl[a\) , \( 0\) , \( a\) , \( 142\) , \( 3209\bigr] \) |
24336.2-n2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -651\) , \( -6228\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)