Elliptic curves in class 132.2-a over \(\Q(\sqrt{3}) \)
Isogeny class 132.2-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 132.2-a1
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 3168 a - 5488\) , \( -58064 a + 100570\bigr] \)
|
| 132.2-a2
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 1558 a - 2698\) , \( 45568 a - 78926\bigr] \)
|
| 132.2-a3
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 103 a - 178\) , \( 694 a - 1202\bigr] \)
|
| 132.2-a4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 770 a - 1336\) , \( -15138 a + 26227\bigr] \)
|
| 132.2-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -232 a + 402\) , \( 3426 a - 5934\bigr] \)
|
| 132.2-a6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10 a - 16\) , \( -18 a + 31\bigr] \)
|
| 132.2-a7
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 2683 a - 4648\) , \( -97004 a + 168016\bigr] \)
|
| 132.2-a8
| \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 2198 a - 3828\) , \( -134130 a + 232350\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 6 & 4 & 12 & 12 & 2 & 4 \\
3 & 1 & 2 & 12 & 4 & 4 & 6 & 12 \\
6 & 2 & 1 & 6 & 2 & 2 & 3 & 6 \\
4 & 12 & 6 & 1 & 12 & 3 & 2 & 4 \\
12 & 4 & 2 & 12 & 1 & 4 & 6 & 3 \\
12 & 4 & 2 & 3 & 4 & 1 & 6 & 12 \\
2 & 6 & 3 & 2 & 6 & 6 & 1 & 2 \\
4 & 12 & 6 & 4 & 3 & 12 & 2 & 1
\end{array}\right)\)
