Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 800.2-n over \(\Q(\sqrt{6}) \)
Isogeny class 800.2-n contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 800.2-n1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 4 a - 11\) , \( 0\bigr] \) |
| 800.2-n2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 a + 59\) , \( 0\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
