Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 4464.2-a over \(\Q(\sqrt{-3}) \)
Isogeny class 4464.2-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4464.2-a1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a + 9\) , \( 24 a + 26\bigr] \) |
| 4464.2-a2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a - 6\) , \( 3 a + 5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
