Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 768.1-j over \(\Q(\sqrt{6}) \)
Isogeny class 768.1-j contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 768.1-j1 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -6\) , \( -18\bigr] \) |
| 768.1-j2 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 706 a - 1729\) , \( 16799 a - 41149\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
