Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 20736.3-j over \(\Q(\sqrt{-2}) \)
Isogeny class 20736.3-j contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
20736.3-j1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a - 3\) , \( 0\bigr] \) |
20736.3-j2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a + 3\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)