Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 72.1-d over \(\Q(\sqrt{6}) \)
Isogeny class 72.1-d contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 72.1-d1 | \( \bigl[0\) , \( a\) , \( 0\) , \( -6 a - 12\) , \( -18 a - 45\bigr] \) |
| 72.1-d2 | \( \bigl[a\) , \( a\) , \( 0\) , \( 20 a - 45\) , \( -53 a + 130\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
