Elliptic curves in class 18000.2-b over \(\Q(\sqrt{-1}) \)
Isogeny class 18000.2-b contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 18000.2-b1
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 5059 i + 6420\) , \( 156987 i - 237775\bigr] \)
|
| 18000.2-b2
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 7579 i + 3060\) , \( 63243 i + 277817\bigr] \)
|
| 18000.2-b3
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -1761 i - 1320\) , \( 72583 i + 13197\bigr] \)
|
| 18000.2-b4
| \( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -i\) , \( 16 i + 3\bigr] \)
|
| 18000.2-b5
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 559 i + 420\) , \( 3987 i + 725\bigr] \)
|
| 18000.2-b6
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -161 i - 120\) , \( 423 i + 77\bigr] \)
|
| 18000.2-b7
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -81 i - 60\) , \( -413 i - 75\bigr] \)
|
| 18000.2-b8
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -2161 i - 1620\) , \( 52123 i + 9477\bigr] \)
|
| 18000.2-b9
| \( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -1281 i - 960\) , \( 24832 i + 4515\bigr] \)
|
| 18000.2-b10
| \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -34561 i - 25920\) , \( 3384463 i + 615357\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
4 & 1 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
16 & 16 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
2 & 2 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
8 & 8 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 16 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
16 & 16 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
