Elliptic curves in class 2000.2-a over \(\Q(\sqrt{-1}) \)
Isogeny class 2000.2-a contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 2000.2-a1
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 263 i + 9\) , \( -1092 i - 1365\bigr] \)
|
| 2000.2-a2
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 82 i + 249\) , \( 1585 i - 810\bigr] \)
|
| 2000.2-a3
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 12 i + 9\) , \( 51 i + 2\bigr] \)
|
| 2000.2-a4
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -48 i + 339\) , \( 251 i - 2348\bigr] \)
|
| 2000.2-a5
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 313 i - 141\) , \( 688 i - 2405\bigr] \)
|
| 2000.2-a6
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -7 i - 6\) , \( -11 i + 2\bigr] \)
|
| 2000.2-a7
| \( \bigl[0\) , \( 0\) , \( 0\) , \( 8 i + 6\) , \( 2 i - 11\bigr] \)
|
| 2000.2-a8
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -107 i - 81\) , \( -626 i - 53\bigr] \)
|
| 2000.2-a9
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 1332 i + 3999\) , \( 95335 i - 49560\bigr] \)
|
| 2000.2-a10
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 4213 i + 159\) , \( -70072 i - 80725\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\
4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\
2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\
8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\
2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\
4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\
8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\
8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\
8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\
2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1
\end{array}\right)\)
