Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 625.1-d over \(\Q(\sqrt{6}) \)
Isogeny class 625.1-d contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 625.1-d1 | \( \bigl[0\) , \( a\) , \( 1\) , \( 2\) , \( 63 a - 154\bigr] \) |
| 625.1-d2 | \( \bigl[0\) , \( a\) , \( a + 1\) , \( 2\) , \( -5 a - 13\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
