Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 870.3-i over \(\Q(\sqrt{6}) \)
Isogeny class 870.3-i contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
870.3-i1 | \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -1802 a - 4416\) , \( 73105 a + 179055\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)