Elliptic curves in class 18000.2-f over \(\Q(\sqrt{-1}) \)
Isogeny class 18000.2-f contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 18000.2-f1
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -216 i - 162\) , \( -5610 i - 1020\bigr] \)
|
| 18000.2-f2
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( 24 i + 18\) , \( 198 i + 36\bigr] \)
|
| 18000.2-f3
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -7256 i - 5442\) , \( -47850 i - 8700\bigr] \)
|
| 18000.2-f4
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -1096 i - 822\) , \( -17050 i - 3100\bigr] \)
|
| 18000.2-f5
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -296 i - 222\) , \( 2310 i + 420\bigr] \)
|
| 18000.2-f6
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -5336 i - 4002\) , \( -208362 i - 37884\bigr] \)
|
| 18000.2-f7
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -4616 i - 3462\) , \( 163878 i + 29796\bigr] \)
|
| 18000.2-f8
| \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -85336 i - 64002\) , \( -13232362 i - 2405884\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
