Elliptic curves in class 3072.1-cc over \(\Q(\sqrt{3}) \)
Isogeny class 3072.1-cc contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 3072.1-cc1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 430252 a - 745216\) , \( -202069724 a + 349995028\bigr] \)
|
| 3072.1-cc2
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -32 a + 64\) , \( 1080 a - 1800\bigr] \)
|
| 3072.1-cc3
| \( \bigl[0\) , \( -1\) , \( 0\) , \( -54060 a + 93635\) , \( -11124426 a + 19268071\bigr] \)
|
| 3072.1-cc4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1812 a - 3136\) , \( -40796 a + 70660\bigr] \)
|
| 3072.1-cc5
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 48 a - 96\) , \( 216 a - 360\bigr] \)
|
| 3072.1-cc6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 26892 a - 46576\) , \( -3152252 a + 5459860\bigr] \)
|
| 3072.1-cc7
| \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 768 a - 1536\) , \( 16632 a - 27720\bigr] \)
|
| 3072.1-cc8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 24812 a - 42976\) , \( -3661724 a + 6342292\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
