Elliptic curves in class 3072.1-s over \(\Q(\sqrt{3}) \)
Isogeny class 3072.1-s contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 3072.1-s1
| \( \bigl[0\) , \( -1\) , \( 0\) , \( 10110882 a - 17512561\) , \( 22924388722 a - 39706205999\bigr] \)
|
| 3072.1-s2
| \( \bigl[0\) , \( -1\) , \( 0\) , \( 272778 a - 472465\) , \( -102151362 a + 176931349\bigr] \)
|
| 3072.1-s3
| \( \bigl[0\) , \( -1\) , \( 0\) , \( 17058 a - 29545\) , \( -1598538 a + 2768749\bigr] \)
|
| 3072.1-s4
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 282844 a - 489900\) , \( -13616268 a + 23584068\bigr] \)
|
| 3072.1-s5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 48 a - 112\) , \( -1016 a + 1720\bigr] \)
|
| 3072.1-s6
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -1121676 a + 1942800\) , \( -105419284 a + 182591556\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
