Base field \(\Q(\sqrt{3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).
Elliptic curves in class 1024.1-o over \(\Q(\sqrt{3}) \)
Isogeny class 1024.1-o contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1024.1-o1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2 a + 6\) , \( 12 a - 20\bigr] \) |
| 1024.1-o2 | \( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( -2\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
