Elliptic curves in class 112896.3-p over \(\Q(\sqrt{-3}) \)
Isogeny class 112896.3-p contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 112896.3-p1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -210 a + 171\) , \( -237 a + 1041\bigr] \)
|
| 112896.3-p2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -180 a - 24\) , \( 1320 a - 480\bigr] \)
|
| 112896.3-p3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -375 a + 141\) , \( -10281 a - 9084\bigr] \)
|
| 112896.3-p4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -15 a + 6\) , \( 24 a + 6\bigr] \)
|
| 112896.3-p5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 105 a - 39\) , \( 99 a + 180\bigr] \)
|
| 112896.3-p6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 585 a - 219\) , \( -2961 a - 1980\bigr] \)
|
| 112896.3-p7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1545 a - 579\) , \( 11079 a + 10836\bigr] \)
|
| 112896.3-p8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9225 a - 3459\) , \( -179001 a - 143676\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 16 & 2 & 4 & 8 & 8 & 16 \\
4 & 1 & 16 & 2 & 4 & 8 & 8 & 16 \\
16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 \\
2 & 2 & 8 & 1 & 2 & 4 & 4 & 8 \\
4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 \\
8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 \\
8 & 8 & 8 & 4 & 2 & 4 & 1 & 8 \\
16 & 16 & 4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
