Elliptic curves in class 24843.6-b over \(\Q(\sqrt{-3}) \)
Isogeny class 24843.6-b contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 24843.6-b1
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 4803 a + 1055\) , \( 36894 a - 168194\bigr] \)
|
| 24843.6-b2
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 238 a - 510\) , \( 7812 a - 11501\bigr] \)
|
| 24843.6-b3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -7 a + 15\) , \( 0\bigr] \)
|
| 24843.6-b4
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 28 a - 60\) , \( 36 a - 53\bigr] \)
|
| 24843.6-b5
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -6007 a + 1525\) , \( 167514 a - 132740\bigr] \)
|
| 24843.6-b6
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 273 a - 585\) , \( -3240 a + 4770\bigr] \)
|
| 24843.6-b7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 343 a - 735\) , \( 4896 a - 7208\bigr] \)
|
| 24843.6-b8
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 5488 a - 11760\) , \( 306540 a - 451295\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 16 & 8 & 4 & 16 & 4 & 8 \\
2 & 1 & 8 & 4 & 2 & 8 & 2 & 4 \\
16 & 8 & 1 & 2 & 16 & 4 & 4 & 8 \\
8 & 4 & 2 & 1 & 8 & 2 & 2 & 4 \\
4 & 2 & 16 & 8 & 1 & 16 & 4 & 8 \\
16 & 8 & 4 & 2 & 16 & 1 & 4 & 8 \\
4 & 2 & 4 & 2 & 4 & 4 & 1 & 2 \\
8 & 4 & 8 & 4 & 8 & 8 & 2 & 1
\end{array}\right)\)
