Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 870.1-n over \(\Q(\sqrt{6}) \)
Isogeny class 870.1-n contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 870.1-n1 | \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -3 a - 3\) , \( -a + 3\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
