Elliptic curves in class 112896.2-ba over \(\Q(\sqrt{-3}) \)
Isogeny class 112896.2-ba contains
10 curves linked by isogenies of
degrees dividing 18.
Curve label |
Weierstrass Coefficients |
112896.2-ba1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -8184 a\) , \( 335520 a - 167760\bigr] \)
|
112896.2-ba2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -24 a\) , \( -96 a + 48\bigr] \)
|
112896.2-ba3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 216 a\) , \( 2208 a - 1104\bigr] \)
|
112896.2-ba4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1704 a\) , \( 26784 a - 13392\bigr] \)
|
112896.2-ba5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8856 a + 11040\) , \( 670368 a - 876624\bigr] \)
|
112896.2-ba6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 19896 a - 11040\) , \( 670368 a + 206256\bigr] \)
|
112896.2-ba7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -504 a\) , \( -4704 a + 2352\bigr] \)
|
112896.2-ba8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8856 a + 10560\) , \( 727200 a - 916560\bigr] \)
|
112896.2-ba9
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 19416 a - 10560\) , \( 727200 a + 189360\bigr] \)
|
112896.2-ba10
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -131064 a\) , \( 21175968 a - 10587984\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)