Elliptic curves in class 28224.3-c over \(\Q(\sqrt{-3}) \)
Isogeny class 28224.3-c contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
28224.3-c1
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -210 a + 171\) , \( 237 a - 1041\bigr] \)
|
28224.3-c2
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -180 a - 24\) , \( -1320 a + 480\bigr] \)
|
28224.3-c3
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -375 a + 141\) , \( 10281 a + 9084\bigr] \)
|
28224.3-c4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -15 a + 6\) , \( -24 a - 6\bigr] \)
|
28224.3-c5
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 105 a - 39\) , \( -99 a - 180\bigr] \)
|
28224.3-c6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 585 a - 219\) , \( 2961 a + 1980\bigr] \)
|
28224.3-c7
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1545 a - 579\) , \( -11079 a - 10836\bigr] \)
|
28224.3-c8
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9225 a - 3459\) , \( 179001 a + 143676\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 16 & 2 & 4 & 8 & 8 & 16 \\
4 & 1 & 16 & 2 & 4 & 8 & 8 & 16 \\
16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 \\
2 & 2 & 8 & 1 & 2 & 4 & 4 & 8 \\
4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 \\
8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 \\
8 & 8 & 8 & 4 & 2 & 4 & 1 & 8 \\
16 & 16 & 4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)