Elliptic curves in class 5525.5-b over \(\Q(\sqrt{-1}) \)
Isogeny class 5525.5-b contains
10 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 5525.5-b1
| \( \bigl[i\) , \( 1\) , \( i\) , \( -25680 i + 10614\) , \( 343455 i - 1745489\bigr] \)
|
| 5525.5-b2
| \( \bigl[i\) , \( 1\) , \( i\) , \( -8295 i - 591\) , \( -229305 i + 183071\bigr] \)
|
| 5525.5-b3
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -1605 i + 663\) , \( -5065 i + 27149\bigr] \)
|
| 5525.5-b4
| \( \bigl[i\) , \( 1\) , \( i\) , \( 15 i + 9\) , \( 3 i - 25\bigr] \)
|
| 5525.5-b5
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 135 i - 112\) , \( -915 i + 251\bigr] \)
|
| 5525.5-b6
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -1530 i + 713\) , \( -7875 i + 28309\bigr] \)
|
| 5525.5-b7
| \( \bigl[i\) , \( 1\) , \( i\) , \( 525 i - 501\) , \( -12333 i + 17155\bigr] \)
|
| 5525.5-b8
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 15 i + 3\) , \( -17 i + 35\bigr] \)
|
| 5525.5-b9
| \( \bigl[i\) , \( 1\) , \( i\) , \( -105 i + 39\) , \( 15 i - 399\bigr] \)
|
| 5525.5-b10
| \( \bigl[i\) , \( 1\) , \( i\) , \( -525 i - 26\) , \( -3723 i + 2635\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 16 & 2 & 16 & 16 & 4 & 16 & 8 & 4 & 8 \\
16 & 1 & 8 & 16 & 16 & 16 & 4 & 8 & 4 & 2 \\
2 & 8 & 1 & 8 & 8 & 2 & 8 & 4 & 2 & 4 \\
16 & 16 & 8 & 1 & 4 & 16 & 16 & 2 & 4 & 8 \\
16 & 16 & 8 & 4 & 1 & 16 & 16 & 2 & 4 & 8 \\
4 & 16 & 2 & 16 & 16 & 1 & 16 & 8 & 4 & 8 \\
16 & 4 & 8 & 16 & 16 & 16 & 1 & 8 & 4 & 2 \\
8 & 8 & 4 & 2 & 2 & 8 & 8 & 1 & 2 & 4 \\
4 & 4 & 2 & 4 & 4 & 4 & 4 & 2 & 1 & 2 \\
8 & 2 & 4 & 8 & 8 & 8 & 2 & 4 & 2 & 1
\end{array}\right)\)
