Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 870.3-f over \(\Q(\sqrt{6}) \)
Isogeny class 870.3-f contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
870.3-f1 | \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -3 a - 4\) , \( -2 a - 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)