Elliptic curves in class 84500.9-b over \(\Q(\sqrt{-1}) \)
Isogeny class 84500.9-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 84500.9-b1
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 3263 i - 8010\) , \( 169535 i - 262217\bigr] \)
|
| 84500.9-b2
| \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 466 i + 776\) , \( -7614 i + 7967\bigr] \)
|
| 84500.9-b3
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 313 i + 4140\) , \( 524905 i - 972807\bigr] \)
|
| 84500.9-b4
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 138 i - 510\) , \( 3785 i - 3842\bigr] \)
|
| 84500.9-b5
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 1093 i + 1930\) , \( 18741 i - 38959\bigr] \)
|
| 84500.9-b6
| \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -3334 i - 3624\) , \( -43894 i + 2427\bigr] \)
|
| 84500.9-b7
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 6638 i + 9240\) , \( 280985 i - 369992\bigr] \)
|
| 84500.9-b8
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 105843 i + 147680\) , \( 17814491 i - 23913709\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 3 & 2 & 4 & 12 & 6 & 12 \\
4 & 1 & 12 & 2 & 4 & 3 & 6 & 12 \\
3 & 12 & 1 & 6 & 12 & 4 & 2 & 4 \\
2 & 2 & 6 & 1 & 2 & 6 & 3 & 6 \\
4 & 4 & 12 & 2 & 1 & 12 & 6 & 3 \\
12 & 3 & 4 & 6 & 12 & 1 & 2 & 4 \\
6 & 6 & 2 & 3 & 6 & 2 & 1 & 2 \\
12 & 12 & 4 & 6 & 3 & 4 & 2 & 1
\end{array}\right)\)
