Elliptic curves in class 32000.2-e over \(\Q(\sqrt{-1}) \)
Isogeny class 32000.2-e contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 32000.2-e1
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 114 i + 211\) , \( 1089 i - 1083\bigr] \)
|
| 32000.2-e2
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 234 i + 51\) , \( 585 i + 1189\bigr] \)
|
| 32000.2-e3
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -646 i + 891\) , \( -7895 i - 13171\bigr] \)
|
| 32000.2-e4
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 674 i - 869\) , \( -12991 i + 9357\bigr] \)
|
| 32000.2-e5
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -146 i - 109\) , \( -1395 i - 171\bigr] \)
|
| 32000.2-e6
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 14 i + 11\) , \( 29 i - 3\bigr] \)
|
| 32000.2-e7
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -6 i - 4\) , \( 5 i + 4\bigr] \)
|
| 32000.2-e8
| \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -166 i - 124\) , \( -1111 i - 108\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 3 & 12 & 6 & 2 & 4 & 12 \\
4 & 1 & 12 & 3 & 6 & 2 & 4 & 12 \\
3 & 12 & 1 & 4 & 2 & 6 & 12 & 4 \\
12 & 3 & 4 & 1 & 2 & 6 & 12 & 4 \\
6 & 6 & 2 & 2 & 1 & 3 & 6 & 2 \\
2 & 2 & 6 & 6 & 3 & 1 & 2 & 6 \\
4 & 4 & 12 & 12 & 6 & 2 & 1 & 3 \\
12 & 12 & 4 & 4 & 2 & 6 & 3 & 1
\end{array}\right)\)
