Elliptic curves in class 24843.4-b over \(\Q(\sqrt{-3}) \)
Isogeny class 24843.4-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 24843.4-b1
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -1525 a + 6007\) , \( -167514 a + 34774\bigr] \)
|
| 24843.4-b2
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 510 a - 238\) , \( -7812 a - 3689\bigr] \)
|
| 24843.4-b3
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -15 a + 7\) , \( 0\bigr] \)
|
| 24843.4-b4
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 60 a - 28\) , \( -36 a - 17\bigr] \)
|
| 24843.4-b5
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -1055 a - 4803\) , \( -36894 a - 131300\bigr] \)
|
| 24843.4-b6
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 585 a - 273\) , \( 3240 a + 1530\bigr] \)
|
| 24843.4-b7
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 735 a - 343\) , \( -4896 a - 2312\bigr] \)
|
| 24843.4-b8
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 11760 a - 5488\) , \( -306540 a - 144755\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 16 & 8 & 4 & 16 & 4 & 8 \\
2 & 1 & 8 & 4 & 2 & 8 & 2 & 4 \\
16 & 8 & 1 & 2 & 16 & 4 & 4 & 8 \\
8 & 4 & 2 & 1 & 8 & 2 & 2 & 4 \\
4 & 2 & 16 & 8 & 1 & 16 & 4 & 8 \\
16 & 8 & 4 & 2 & 16 & 1 & 4 & 8 \\
4 & 2 & 4 & 2 & 4 & 4 & 1 & 2 \\
8 & 4 & 8 & 4 & 8 & 8 & 2 & 1
\end{array}\right)\)
