Elliptic curves in class 65025.4-b over \(\Q(\sqrt{-1}) \)
Isogeny class 65025.4-b contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 65025.4-b1
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( -1584 i - 6764\) , \( -71826 i - 207763\bigr] \)
|
| 65025.4-b2
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( -4734 i - 5084\) , \( 205122 i + 96065\bigr] \)
|
| 65025.4-b3
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( 881 i + 1651\) , \( 42450 i - 39591\bigr] \)
|
| 65025.4-b4
| \( \bigl[1\) , \( i + 1\) , \( 1\) , \( i\) , \( 10 i - 9\bigr] \)
|
| 65025.4-b5
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( -279 i - 524\) , \( 2496 i - 1867\bigr] \)
|
| 65025.4-b6
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( 81 i + 151\) , \( 210 i - 301\bigr] \)
|
| 65025.4-b7
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( 41 i + 76\) , \( -264 i + 183\bigr] \)
|
| 65025.4-b8
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( 1081 i + 2026\) , \( 30260 i - 28851\bigr] \)
|
| 65025.4-b9
| \( \bigl[1\) , \( i + 1\) , \( 1\) , \( 641 i + 1200\) , \( 14994 i - 12663\bigr] \)
|
| 65025.4-b10
| \( \bigl[i\) , \( -i - 1\) , \( i\) , \( 17281 i + 32401\) , \( 1991270 i - 1823811\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 4 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
4 & 1 & 16 & 16 & 2 & 4 & 8 & 8 & 16 & 16 \\
16 & 16 & 1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
2 & 2 & 8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
8 & 8 & 2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 16 & 16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
16 & 16 & 4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
