Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 25600.1-b over \(\Q(\sqrt{-2}) \)
Isogeny class 25600.1-b contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
25600.1-b1 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 7\) , \( -10 a\bigr] \) |
25600.1-b2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 132\) , \( -460 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)