Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 768.1-m over \(\Q(\sqrt{6}) \)
Isogeny class 768.1-m contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 768.1-m1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -126 a - 308\) , \( 3008 a + 7368\bigr] \) |
| 768.1-m2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -35\) , \( 69\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
