Elliptic curves in class 2000.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 2000.3-a contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 2000.3-a1
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -83 i + 249\) , \( -1336 i - 727\bigr] \)
|
| 2000.3-a2
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -264 i + 9\) , \( 1101 i - 1102\bigr] \)
|
| 2000.3-a3
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -14 i + 9\) , \( 51 i - 2\bigr] \)
|
| 2000.3-a4
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -314 i - 141\) , \( -829 i - 2092\bigr] \)
|
| 2000.3-a5
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 47 i + 339\) , \( 88 i - 2395\bigr] \)
|
| 2000.3-a6
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 7 i - 6\) , \( -11 i - 2\bigr] \)
|
| 2000.3-a7
| \( \bigl[0\) , \( 0\) , \( 0\) , \( -8 i + 6\) , \( -2 i - 11\bigr] \)
|
| 2000.3-a8
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 107 i - 81\) , \( -626 i + 53\bigr] \)
|
| 2000.3-a9
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -4214 i + 159\) , \( 70231 i - 76512\bigr] \)
|
| 2000.3-a10
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -1333 i + 3999\) , \( -91336 i - 48227\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\
4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\
2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\
8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\
2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\
4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\
8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\
8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\
8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\
2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1
\end{array}\right)\)
