Elliptic curves in class 768.1-l over \(\Q(\sqrt{3}) \)
Isogeny class 768.1-l contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 768.1-l1
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4138 a - 7169\) , \( -191739 a + 332103\bigr] \)
|
| 768.1-l2
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 62 a + 111\) , \( -2637 a - 4569\bigr] \)
|
| 768.1-l3
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -520 a + 901\) , \( -10685 a + 18507\bigr] \)
|
| 768.1-l4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 18 a - 29\) , \( -43 a + 75\bigr] \)
|
| 768.1-l5
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -98 a - 169\) , \( -637 a - 1105\bigr] \)
|
| 768.1-l6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 258 a - 449\) , \( -3043 a + 5271\bigr] \)
|
| 768.1-l7
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -1538 a - 2689\) , \( -43117 a - 74761\bigr] \)
|
| 768.1-l8
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 218 a - 449\) , \( -3467 a + 6183\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
