Elliptic curves in class 57800.4-e over \(\Q(\sqrt{-1}) \)
Isogeny class 57800.4-e contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 57800.4-e1
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 796 i + 408\) , \( 936 i + 9924\bigr] \)
|
| 57800.4-e2
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -104 i + 888\) , \( 10640 i + 1820\bigr] \)
|
| 57800.4-e3
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 26 i + 48\) , \( 224 i + 208\bigr] \)
|
| 57800.4-e4
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -634 i + 978\) , \( 9964 i - 11152\bigr] \)
|
| 57800.4-e5
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 1166 i + 18\) , \( -12356 i + 7688\bigr] \)
|
| 57800.4-e6
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -14 i - 27\) , \( 22 i + 46\bigr] \)
|
| 57800.4-e7
| \( \bigl[0\) , \( 0\) , \( 0\) , \( 16 i + 30\) , \( 52 i - 47\bigr] \)
|
| 57800.4-e8
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -214 i - 402\) , \( 2302 i + 2876\bigr] \)
|
| 57800.4-e9
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -1654 i + 14238\) , \( 657780 i + 114840\bigr] \)
|
| 57800.4-e10
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 12746 i + 6558\) , \( 51156 i + 652464\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\
4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\
2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\
8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\
2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\
4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\
8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\
8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\
8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\
2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1
\end{array}\right)\)
