Elliptic curves in class 1584.2-l over \(\Q(\sqrt{3}) \)
Isogeny class 1584.2-l contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 1584.2-l1
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 50028 a - 86663\) , \( 8031377 a - 13910735\bigr] \)
|
| 1584.2-l2
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 618 a - 1073\) , \( 11135 a - 19289\bigr] \)
|
| 1584.2-l3
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 3018 a - 5243\) , \( 134897 a - 233639\bigr] \)
|
| 1584.2-l4
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 63 a - 113\) , \( -64 a + 109\bigr] \)
|
| 1584.2-l5
| \( \bigl[0\) , \( a\) , \( 0\) , \( 12 a - 27\) , \( -45 a + 81\bigr] \)
|
| 1584.2-l6
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 3123 a - 5423\) , \( 126170 a - 218519\bigr] \)
|
| 1584.2-l7
| \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -252 a + 427\) , \( -721 a + 1243\bigr] \)
|
| 1584.2-l8
| \( \bigl[0\) , \( a\) , \( 0\) , \( -108 a - 387\) , \( 1683 a + 2061\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 6 & 12 & 2 & 12 & 4 \\
3 & 1 & 12 & 2 & 4 & 6 & 4 & 12 \\
4 & 12 & 1 & 6 & 12 & 2 & 3 & 4 \\
6 & 2 & 6 & 1 & 2 & 3 & 2 & 6 \\
12 & 4 & 12 & 2 & 1 & 6 & 4 & 3 \\
2 & 6 & 2 & 3 & 6 & 1 & 6 & 2 \\
12 & 4 & 3 & 2 & 4 & 6 & 1 & 12 \\
4 & 12 & 4 & 6 & 3 & 2 & 12 & 1
\end{array}\right)\)
