Elliptic curves in class 3072.1-bk over \(\Q(\sqrt{3}) \)
Isogeny class 3072.1-bk contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 3072.1-bk1
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 725928 a - 1257344\) , \( 441742716 a - 765120828\bigr] \)
|
| 3072.1-bk2
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 19584 a - 33920\) , \( -1945592 a + 3369864\bigr] \)
|
| 3072.1-bk3
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1224 a - 2120\) , \( -29528 a + 51144\bigr] \)
|
| 3072.1-bk4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 20308 a - 35172\) , \( -261948 a + 453708\bigr] \)
|
| 3072.1-bk5
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -122 a - 225\) , \( -1074 a - 1797\bigr] \)
|
| 3072.1-bk6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -80532 a + 139488\) , \( -2028044 a + 3512676\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 2 & 8 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
2 & 4 & 2 & 1 & 4 & 2 \\
8 & 4 & 2 & 4 & 1 & 8 \\
4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
