Elliptic curves in class 67600.6-f over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.6-f contains
10 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
67600.6-f1
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -670 i + 143\) , \( 3211 i - 5832\bigr] \)
|
67600.6-f2
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -370 i - 577\) , \( -5521 i - 4344\bigr] \)
|
67600.6-f3
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -40 i - 17\) , \( -47 i - 176\bigr] \)
|
67600.6-f4
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -100 i - 887\) , \( -9827 i + 3354\bigr] \)
|
67600.6-f5
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -700 i + 553\) , \( 10213 i - 126\bigr] \)
|
67600.6-f6
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 20 i + 8\) , \( -3 i - 45\bigr] \)
|
67600.6-f7
| \( \bigl[0\) , \( 0\) , \( 0\) , \( -24 i - 10\) , \( -46 i + 9\bigr] \)
|
67600.6-f8
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 320 i + 133\) , \( -413 i - 2610\bigr] \)
|
67600.6-f9
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -5920 i - 9227\) , \( -338111 i - 286714\bigr] \)
|
67600.6-f10
| \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -10720 i + 2293\) , \( 200881 i - 388642\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 2 & 8 & 2 & 4 & 8 & 8 & 8 & 2 \\
4 & 1 & 2 & 2 & 8 & 4 & 8 & 8 & 2 & 8 \\
2 & 2 & 1 & 4 & 4 & 2 & 4 & 4 & 4 & 4 \\
8 & 2 & 4 & 1 & 16 & 8 & 16 & 16 & 4 & 16 \\
2 & 8 & 4 & 16 & 1 & 8 & 16 & 16 & 16 & 4 \\
4 & 4 & 2 & 8 & 8 & 1 & 2 & 2 & 8 & 8 \\
8 & 8 & 4 & 16 & 16 & 2 & 1 & 4 & 16 & 16 \\
8 & 8 & 4 & 16 & 16 & 2 & 4 & 1 & 16 & 16 \\
8 & 2 & 4 & 4 & 16 & 8 & 16 & 16 & 1 & 16 \\
2 & 8 & 4 & 16 & 4 & 8 & 16 & 16 & 16 & 1
\end{array}\right)\)