Elliptic curves in class 3087.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 3087.3-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 3087.3-a1
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -654 a - 8391\) , \( 19194 a + 304332\bigr] \)
|
| 3087.3-a2
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -3474 a + 9939\) , \( 321486 a - 14754\bigr] \)
|
| 3087.3-a3
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 816 a - 306\) , \( 13020 a + 11067\bigr] \)
|
| 3087.3-a4
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -24 a + 9\) , \( 0\bigr] \)
|
| 3087.3-a5
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 96 a - 36\) , \( 60 a + 51\bigr] \)
|
| 3087.3-a6
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 936 a - 351\) , \( -5400 a - 4590\bigr] \)
|
| 3087.3-a7
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 1176 a - 441\) , \( 8160 a + 6936\bigr] \)
|
| 3087.3-a8
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 18816 a - 7056\) , \( 510900 a + 434265\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 2 & 16 & 8 & 16 & 4 & 8 \\
4 & 1 & 2 & 16 & 8 & 16 & 4 & 8 \\
2 & 2 & 1 & 8 & 4 & 8 & 2 & 4 \\
16 & 16 & 8 & 1 & 2 & 4 & 4 & 8 \\
8 & 8 & 4 & 2 & 1 & 2 & 2 & 4 \\
16 & 16 & 8 & 4 & 2 & 1 & 4 & 8 \\
4 & 4 & 2 & 4 & 2 & 4 & 1 & 2 \\
8 & 8 & 4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
