Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 31752.3-c over \(\Q(\sqrt{-2}) \)
Isogeny class 31752.3-c contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
31752.3-c1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -6\) , \( 9\bigr] \) |
31752.3-c2 | \( \bigl[a\) , \( -1\) , \( a\) , \( -26\) , \( -42\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)