Elliptic curves in class 67600.6-i over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.6-i contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 67600.6-i1
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 889 i + 1483\) , \( 19530 i - 21015\bigr] \)
|
| 67600.6-i2
| \( \bigl[0\) , \( i\) , \( 0\) , \( -180 i - 19\) , \( -769 i + 655\bigr] \)
|
| 67600.6-i3
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -701 i - 447\) , \( 61718 i - 76839\bigr] \)
|
| 67600.6-i4
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 64 i + 83\) , \( 415 i - 320\bigr] \)
|
| 67600.6-i5
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -441 i - 57\) , \( 2338 i - 2941\bigr] \)
|
| 67600.6-i6
| \( \bigl[0\) , \( i\) , \( 0\) , \( 980 i - 99\) , \( -4137 i - 861\bigr] \)
|
| 67600.6-i7
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -2276 i - 47\) , \( 31083 i - 27144\bigr] \)
|
| 67600.6-i8
| \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -36331 i - 787\) , \( 1957246 i - 1804685\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 3 & 2 & 4 & 12 & 6 & 12 \\
4 & 1 & 12 & 2 & 4 & 3 & 6 & 12 \\
3 & 12 & 1 & 6 & 12 & 4 & 2 & 4 \\
2 & 2 & 6 & 1 & 2 & 6 & 3 & 6 \\
4 & 4 & 12 & 2 & 1 & 12 & 6 & 3 \\
12 & 3 & 4 & 6 & 12 & 1 & 2 & 4 \\
6 & 6 & 2 & 3 & 6 & 2 & 1 & 2 \\
12 & 12 & 4 & 6 & 3 & 4 & 2 & 1
\end{array}\right)\)
