Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 85692.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 85692.3-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 85692.3-a1 | \( \bigl[a\) , \( 1\) , \( 1\) , \( -31 a + 18\) , \( 3 a + 54\bigr] \) |
| 85692.3-a2 | \( \bigl[a\) , \( 1\) , \( 1\) , \( 9 a - 2\) , \( 3 a + 6\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
