Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 800.2-g over \(\Q(\sqrt{6}) \)
Isogeny class 800.2-g contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
800.2-g1 | \( \bigl[a\) , \( a + 1\) , \( a\) , \( -121 a - 297\) , \( -1380 a - 3382\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)