Elliptic curves in class 81225.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 81225.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 81225.1-a1
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -1651 a - 5281\) , \( -142860 a - 266580\bigr] \)
|
| 81225.1-a2
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -a - 1\) , \( 30 a + 60\bigr] \)
|
| 81225.1-a3
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( 524 a + 1679\) , \( -6249 a - 13968\bigr] \)
|
| 81225.1-a4
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -151 a - 481\) , \( -1200 a - 1710\bigr] \)
|
| 81225.1-a5
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -76 a - 241\) , \( 591 a + 1422\bigr] \)
|
| 81225.1-a6
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -2026 a - 6481\) , \( -104775 a - 192360\bigr] \)
|
| 81225.1-a7
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -1201 a - 3841\) , \( 44286 a + 89262\bigr] \)
|
| 81225.1-a8
| \( \bigl[a\) , \( a\) , \( a + 1\) , \( -32401 a - 103681\) , \( -6545490 a - 12381240\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
