Elliptic curves in class 67600.4-i over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.4-i contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 67600.4-i1
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -892 i + 1483\) , \( -18047 i - 20125\bigr] \)
|
| 67600.4-i2
| \( \bigl[0\) , \( i\) , \( 0\) , \( 180 i - 19\) , \( -769 i - 655\bigr] \)
|
| 67600.4-i3
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 698 i - 447\) , \( -62165 i - 77539\bigr] \)
|
| 67600.4-i4
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -67 i + 83\) , \( -332 i - 255\bigr] \)
|
| 67600.4-i5
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 438 i - 57\) , \( -2395 i - 3381\bigr] \)
|
| 67600.4-i6
| \( \bigl[0\) , \( i\) , \( 0\) , \( -980 i - 99\) , \( -4137 i + 861\bigr] \)
|
| 67600.4-i7
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 2273 i - 47\) , \( -31130 i - 29419\bigr] \)
|
| 67600.4-i8
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 36328 i - 787\) , \( -1958033 i - 1841015\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 3 & 2 & 4 & 12 & 6 & 12 \\
4 & 1 & 12 & 2 & 4 & 3 & 6 & 12 \\
3 & 12 & 1 & 6 & 12 & 4 & 2 & 4 \\
2 & 2 & 6 & 1 & 2 & 6 & 3 & 6 \\
4 & 4 & 12 & 2 & 1 & 12 & 6 & 3 \\
12 & 3 & 4 & 6 & 12 & 1 & 2 & 4 \\
6 & 6 & 2 & 3 & 6 & 2 & 1 & 2 \\
12 & 12 & 4 & 6 & 3 & 4 & 2 & 1
\end{array}\right)\)
