Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 800.1-o over \(\Q(\sqrt{6}) \)
Isogeny class 800.1-o contains 2 curves linked by isogenies of degree 2.
Curve label | Weierstrass Coefficients |
---|---|
800.1-o1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( 0\) , \( -2\bigr] \) |
800.1-o2 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 126 a - 308\) , \( 1348 a - 3302\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)