Elliptic curves in class 67600.4-a over \(\Q(\sqrt{-1}) \)
Isogeny class 67600.4-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 67600.4-a1
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -7357 i + 12162\) , \( 455466 i + 474647\bigr] \)
|
| 67600.4-a2
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 3 i + 82\) , \( 1082 i + 1719\bigr] \)
|
| 67600.4-a3
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -2537 i - 25618\) , \( 2731422 i + 1988155\bigr] \)
|
| 67600.4-a4
| \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -1714 i - 5398\) , \( 43016 i + 113108\bigr] \)
|
| 67600.4-a5
| \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -7154 i + 12642\) , \( -393176 i - 473532\bigr] \)
|
| 67600.4-a6
| \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -8574 i + 58582\) , \( 5164160 i + 636316\bigr] \)
|
| 67600.4-a7
| \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -794 i - 1838\) , \( -20520 i - 26940\bigr] \)
|
| 67600.4-a8
| \( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -12677 i - 28998\) , \( 1245458 i + 1781967\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 2 & 4 & 6 & 12 \\
3 & 1 & 12 & 4 & 6 & 12 & 2 & 4 \\
4 & 12 & 1 & 12 & 2 & 4 & 6 & 3 \\
12 & 4 & 12 & 1 & 6 & 3 & 2 & 4 \\
2 & 6 & 2 & 6 & 1 & 2 & 3 & 6 \\
4 & 12 & 4 & 3 & 2 & 1 & 6 & 12 \\
6 & 2 & 6 & 2 & 3 & 6 & 1 & 2 \\
12 & 4 & 3 & 4 & 6 & 12 & 2 & 1
\end{array}\right)\)
