Elliptic curves in class 18000.3-a over \(\Q(\sqrt{-1}) \)
Isogeny class 18000.3-a contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 18000.3-a1
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -7581 i + 3060\) , \( 63243 i - 277817\bigr] \)
|
| 18000.3-a2
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -5061 i + 6420\) , \( 156987 i + 237775\bigr] \)
|
| 18000.3-a3
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 1759 i - 1320\) , \( 72583 i - 13197\bigr] \)
|
| 18000.3-a4
| \( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( -i\) , \( 16 i - 3\bigr] \)
|
| 18000.3-a5
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -561 i + 420\) , \( 3987 i - 725\bigr] \)
|
| 18000.3-a6
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 159 i - 120\) , \( 423 i - 77\bigr] \)
|
| 18000.3-a7
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 79 i - 60\) , \( -413 i + 75\bigr] \)
|
| 18000.3-a8
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 2159 i - 1620\) , \( 52123 i - 9477\bigr] \)
|
| 18000.3-a9
| \( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( 1279 i - 960\) , \( 24832 i - 4515\bigr] \)
|
| 18000.3-a10
| \( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( 34559 i - 25920\) , \( 3384463 i - 615357\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
4 & 1 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
16 & 16 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
2 & 2 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
8 & 8 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 16 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
16 & 16 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
