Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 800.2-j over \(\Q(\sqrt{6}) \)
Isogeny class 800.2-j contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
800.2-j1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 8 a - 19\) , \( 51 a - 125\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)