Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 24336.2-e over \(\Q(\sqrt{-2}) \)
Isogeny class 24336.2-e contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
24336.2-e1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 5\) , \( -14\bigr] \) |
24336.2-e2 | \( \bigl[a\) , \( 1\) , \( 0\) , \( -15\) , \( 18\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)