Elliptic curves in class 57600.1-k over \(\Q(\sqrt{-3}) \)
Isogeny class 57600.1-k contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 57600.1-k1
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 5282 a - 5281\) , \( 322009 a - 163645\bigr] \)
|
| 57600.1-k2
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a - 1\) , \( -71 a + 35\bigr] \)
|
| 57600.1-k3
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1678 a + 1679\) , \( 15721 a - 7021\bigr] \)
|
| 57600.1-k4
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 482 a - 481\) , \( 2329 a - 1405\bigr] \)
|
| 57600.1-k5
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 242 a - 241\) , \( -1559 a + 659\bigr] \)
|
| 57600.1-k6
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6482 a - 6481\) , \( 233929 a - 120205\bigr] \)
|
| 57600.1-k7
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3842 a - 3841\) , \( -104519 a + 50339\bigr] \)
|
| 57600.1-k8
| \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 103682 a - 103681\) , \( 14872249 a - 7487965\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
