Elliptic curves in class 21609.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 21609.3-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 21609.3-a1
| \( \bigl[a + 1\) , \( 0\) , \( a\) , \( -14122 a - 799\) , \( -780754 a + 343883\bigr] \)
|
| 21609.3-a2
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -672 a - 579\) , \( 52809 a - 36737\bigr] \)
|
| 21609.3-a3
| \( \bigl[a + 1\) , \( 0\) , \( a\) , \( 578 a + 671\) , \( -52810 a + 16073\bigr] \)
|
| 21609.3-a4
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 63 a + 156\) , \( -846 a + 895\bigr] \)
|
| 21609.3-a5
| \( \bigl[a + 1\) , \( 0\) , \( a\) , \( -892 a - 64\) , \( -11944 a + 5636\bigr] \)
|
| 21609.3-a6
| \( \bigl[a + 1\) , \( 0\) , \( a\) , \( -157 a - 64\) , \( 845 a + 50\bigr] \)
|
| 21609.3-a7
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 63 a + 891\) , \( 11943 a - 6308\bigr] \)
|
| 21609.3-a8
| \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 798 a + 14121\) , \( 780753 a - 436871\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 2 & 4 & 6 & 12 \\
3 & 1 & 12 & 4 & 6 & 12 & 2 & 4 \\
4 & 12 & 1 & 12 & 2 & 4 & 6 & 3 \\
12 & 4 & 12 & 1 & 6 & 3 & 2 & 4 \\
2 & 6 & 2 & 6 & 1 & 2 & 3 & 6 \\
4 & 12 & 4 & 3 & 2 & 1 & 6 & 12 \\
6 & 2 & 6 & 2 & 3 & 6 & 1 & 2 \\
12 & 4 & 3 & 4 & 6 & 12 & 2 & 1
\end{array}\right)\)
