Elliptic curves in class 12675.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 12675.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
12675.1-a1
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -879 a + 1650\) , \( -30133 a - 13197\bigr] \)
|
12675.1-a2
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( a\) , \( 7 a + 3\bigr] \)
|
12675.1-a3
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 281 a - 525\) , \( -1491 a - 1033\bigr] \)
|
12675.1-a4
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -79 a + 150\) , \( -213 a - 7\bigr] \)
|
12675.1-a5
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -39 a + 75\) , \( 149 a + 117\bigr] \)
|
12675.1-a6
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -1079 a + 2025\) , \( -21863 a - 9057\bigr] \)
|
12675.1-a7
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -639 a + 1200\) , \( 9839 a + 5397\bigr] \)
|
12675.1-a8
| \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -17279 a + 32400\) , \( -1393193 a - 637617\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)