Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 288.1-d over \(\Q(\sqrt{6}) \)
Isogeny class 288.1-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 288.1-d1 | \( \bigl[0\) , \( a\) , \( 0\) , \( -100 a - 243\) , \( 3583 a + 8776\bigr] \) |
| 288.1-d2 | \( \bigl[0\) , \( a\) , \( 0\) , \( -33\) , \( 21 a\bigr] \) |