Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 870.2-d over \(\Q(\sqrt{6}) \)
Isogeny class 870.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 870.2-d1 | \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -36 a - 88\) , \( 129 a + 316\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
