Base field \(\Q(\sqrt{6}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).
Elliptic curves in class 100.3-a over \(\Q(\sqrt{6}) \)
Isogeny class 100.3-a contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 100.3-a1 | \( \bigl[0\) , \( a\) , \( a\) , \( 2\) , \( -2\bigr] \) |
| 100.3-a2 | \( \bigl[0\) , \( a\) , \( a\) , \( 2\) , \( 9 a - 23\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
