Elliptic curves in class 3072.1-bt over \(\Q(\sqrt{3}) \)
Isogeny class 3072.1-bt contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 3072.1-bt1
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 30890 a - 53505\) , \( -3879118 a + 6718827\bigr] \)
|
| 3072.1-bt2
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 32 a + 64\) , \( 1080 a + 1800\bigr] \)
|
| 3072.1-bt3
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3882 a + 6724\) , \( -217892 a + 377400\bigr] \)
|
| 3072.1-bt4
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 130 a - 225\) , \( -750 a + 1299\bigr] \)
|
| 3072.1-bt5
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -48 a - 96\) , \( 216 a + 360\bigr] \)
|
| 3072.1-bt6
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 1930 a - 3345\) , \( -60126 a + 104139\bigr] \)
|
| 3072.1-bt7
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -768 a - 1536\) , \( 16632 a + 27720\bigr] \)
|
| 3072.1-bt8
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 1770 a - 3105\) , \( -69998 a + 121131\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
