Elliptic curves in class 12675.3-a over \(\Q(\sqrt{-3}) \)
Isogeny class 12675.3-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 12675.3-a1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1650 a + 881\) , \( 30903 a - 44980\bigr] \)
|
| 12675.3-a2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1\) , \( -7 a + 10\bigr] \)
|
| 12675.3-a3
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 525 a - 279\) , \( 1246 a - 1999\bigr] \)
|
| 12675.3-a4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -150 a + 81\) , \( 283 a - 370\bigr] \)
|
| 12675.3-a5
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -75 a + 41\) , \( -114 a + 191\bigr] \)
|
| 12675.3-a6
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -2025 a + 1081\) , \( 22808 a - 32945\bigr] \)
|
| 12675.3-a7
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1200 a + 641\) , \( -9279 a + 14036\bigr] \)
|
| 12675.3-a8
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -32400 a + 17281\) , \( 1408313 a - 2063210\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
