Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 49152.1-l over \(\Q(\sqrt{-3}) \)
Isogeny class 49152.1-l contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 49152.1-l1 | \( \bigl[0\) , \( -1\) , \( 0\) , \( 2 a - 2\) , \( -2 a + 2\bigr] \) |
| 49152.1-l2 | \( \bigl[0\) , \( -1\) , \( 0\) , \( -8 a + 3\) , \( -8 a + 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
