Elliptic curves in class 12348.2-a over \(\Q(\sqrt{-3}) \)
Isogeny class 12348.2-a contains
10 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 12348.2-a1
| \( \bigl[1\) , \( a\) , \( 1\) , \( -4092 a + 2557\) , \( -52425 a + 96986\bigr] \)
|
| 12348.2-a2
| \( \bigl[1\) , \( a\) , \( 1\) , \( -12 a + 7\) , \( 15 a - 28\bigr] \)
|
| 12348.2-a3
| \( \bigl[1\) , \( a\) , \( 1\) , \( 108 a - 68\) , \( -345 a + 638\bigr] \)
|
| 12348.2-a4
| \( \bigl[1\) , \( a\) , \( 1\) , \( -852 a + 532\) , \( -4185 a + 7742\bigr] \)
|
| 12348.2-a5
| \( \bigl[1\) , \( a\) , \( 1\) , \( 7878 a - 698\) , \( 47535 a + 202238\bigr] \)
|
| 12348.2-a6
| \( \bigl[1\) , \( a\) , \( 1\) , \( 6498 a - 8288\) , \( -257025 a + 185318\bigr] \)
|
| 12348.2-a7
| \( \bigl[1\) , \( a\) , \( 1\) , \( -252 a + 157\) , \( 735 a - 1360\bigr] \)
|
| 12348.2-a8
| \( \bigl[1\) , \( a\) , \( 1\) , \( 7728 a - 788\) , \( 41895 a + 218846\bigr] \)
|
| 12348.2-a9
| \( \bigl[1\) , \( a\) , \( 1\) , \( 6408 a - 8048\) , \( -269145 a + 201566\bigr] \)
|
| 12348.2-a10
| \( \bigl[1\) , \( a\) , \( 1\) , \( -65532 a + 40957\) , \( -3308745 a + 6121178\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)
