Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 768.1-g over \(\Q(\sqrt{6}) \)
Isogeny class 768.1-g contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 768.1-g1 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 126 a - 308\) , \( 3008 a - 7368\bigr] \) |
| 768.1-g2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -35\) , \( -69\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
