Elliptic curves in class 28224.1-c over \(\Q(\sqrt{-3}) \)
Isogeny class 28224.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 28224.1-c1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 25 a + 181\) , \( 1115 a - 816\bigr] \)
|
| 28224.1-c2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -170 a + 211\) , \( -277 a - 975\bigr] \)
|
| 28224.1-c3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -140 a + 376\) , \( -10516 a + 19224\bigr] \)
|
| 28224.1-c4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -5 a + 16\) , \( 14 a - 36\bigr] \)
|
| 28224.1-c5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 40 a - 104\) , \( 164 a - 240\bigr] \)
|
| 28224.1-c6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 220 a - 584\) , \( -2596 a + 5160\bigr] \)
|
| 28224.1-c7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 580 a - 1544\) , \( 12044 a - 21336\bigr] \)
|
| 28224.1-c8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3460 a - 9224\) , \( -173236 a + 326136\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 16 & 2 & 4 & 8 & 8 & 16 \\
4 & 1 & 16 & 2 & 4 & 8 & 8 & 16 \\
16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 \\
2 & 2 & 8 & 1 & 2 & 4 & 4 & 8 \\
4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 \\
8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 \\
8 & 8 & 8 & 4 & 2 & 4 & 1 & 8 \\
16 & 16 & 4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
