Elliptic curves in class 3072.1-e over \(\Q(\sqrt{3}) \)
Isogeny class 3072.1-e contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 3072.1-e1
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 430252 a - 745216\) , \( 202069724 a - 349995028\bigr] \)
|
| 3072.1-e2
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -32 a + 64\) , \( -1080 a + 1800\bigr] \)
|
| 3072.1-e3
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -54060 a + 93635\) , \( 11124426 a - 19268071\bigr] \)
|
| 3072.1-e4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1812 a - 3136\) , \( 40796 a - 70660\bigr] \)
|
| 3072.1-e5
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 48 a - 96\) , \( -216 a + 360\bigr] \)
|
| 3072.1-e6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 26892 a - 46576\) , \( 3152252 a - 5459860\bigr] \)
|
| 3072.1-e7
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 768 a - 1536\) , \( -16632 a + 27720\bigr] \)
|
| 3072.1-e8
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 24812 a - 42976\) , \( 3661724 a - 6342292\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
