Elliptic curves in class 102675.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 102675.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 102675.1-a1
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 770 a + 3631\) , \( 210053 a - 149676\bigr] \)
|
| 102675.1-a2
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 1\) , \( -47 a + 34\bigr] \)
|
| 102675.1-a3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -245 a - 1154\) , \( 10719 a - 8079\bigr] \)
|
| 102675.1-a4
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 70 a + 331\) , \( 1413 a - 906\bigr] \)
|
| 102675.1-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 35 a + 166\) , \( -1081 a + 831\bigr] \)
|
| 102675.1-a6
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 945 a + 4456\) , \( 151963 a - 107681\bigr] \)
|
| 102675.1-a7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 560 a + 2641\) , \( -69511 a + 50796\bigr] \)
|
| 102675.1-a8
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 15120 a + 71281\) , \( 9735073 a - 6968786\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
