Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 25.3-a over \(\Q(\sqrt{6}) \)
Isogeny class 25.3-a contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 25.3-a1 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( -19 a - 12\) , \( 30 a + 117\bigr] \) |
| 25.3-a2 | \( \bigl[0\) , \( -1\) , \( a + 1\) , \( a - 2\) , \( -3\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
