Elliptic curves in class 67600.4-d over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.4-d contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 67600.4-d1
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 369 i - 577\) , \( 4944 i - 4713\bigr] \)
|
| 67600.4-d2
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 669 i + 143\) , \( -3068 i - 6501\bigr] \)
|
| 67600.4-d3
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 39 i - 17\) , \( 30 i - 215\bigr] \)
|
| 67600.4-d4
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 699 i + 553\) , \( -9660 i - 825\bigr] \)
|
| 67600.4-d5
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 99 i - 887\) , \( 8940 i + 3255\bigr] \)
|
| 67600.4-d6
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -21 i + 8\) , \( 11 i - 24\bigr] \)
|
| 67600.4-d7
| \( \bigl[0\) , \( 0\) , \( 0\) , \( 24 i - 10\) , \( -46 i - 9\bigr] \)
|
| 67600.4-d8
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -321 i + 133\) , \( 546 i - 2289\bigr] \)
|
| 67600.4-d9
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 10719 i + 2293\) , \( -198588 i - 399361\bigr] \)
|
| 67600.4-d10
| \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 5919 i - 9227\) , \( 328884 i - 292633\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\
4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\
2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\
8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\
2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\
4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\
8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\
8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\
8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\
2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1
\end{array}\right)\)
