Elliptic curves in class 52650.4-a over \(\Q(\sqrt{-1}) \)
Isogeny class 52650.4-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 52650.4-a1
| \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 1453 i - 1984\) , \( -37787 i + 26892\bigr] \)
|
| 52650.4-a2
| \( \bigl[i\) , \( 1\) , \( i + 1\) , \( 13 i - 4\) , \( -95 i + 108\bigr] \)
|
| 52650.4-a3
| \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -4262 i + 1301\) , \( -222278 i + 102195\bigr] \)
|
| 52650.4-a4
| \( \bigl[1\) , \( -1\) , \( i + 1\) , \( -977 i + 85\) , \( -4604 i + 7398\bigr] \)
|
| 52650.4-a5
| \( \bigl[1\) , \( -1\) , \( i + 1\) , \( 1543 i - 1985\) , \( 34330 i - 28026\bigr] \)
|
| 52650.4-a6
| \( \bigl[1\) , \( -1\) , \( i + 1\) , \( 8788 i - 5270\) , \( -373721 i - 26433\bigr] \)
|
| 52650.4-a7
| \( \bigl[1\) , \( -1\) , \( i + 1\) , \( -347 i - 5\) , \( 1822 i - 1620\bigr] \)
|
| 52650.4-a8
| \( \bigl[i\) , \( 1\) , \( i + 1\) , \( -5477 i - 94\) , \( -114521 i + 107406\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 2 & 4 & 6 & 12 \\
3 & 1 & 12 & 4 & 6 & 12 & 2 & 4 \\
4 & 12 & 1 & 12 & 2 & 4 & 6 & 3 \\
12 & 4 & 12 & 1 & 6 & 3 & 2 & 4 \\
2 & 6 & 2 & 6 & 1 & 2 & 3 & 6 \\
4 & 12 & 4 & 3 & 2 & 1 & 6 & 12 \\
6 & 2 & 6 & 2 & 3 & 6 & 1 & 2 \\
12 & 4 & 3 & 4 & 6 & 12 & 2 & 1
\end{array}\right)\)
