Elliptic curves in class 33124.4-c over \(\Q(\sqrt{-3}) \)
Isogeny class 33124.4-c contains
10 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 33124.4-c1
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -1194 a - 1364\) , \( -31455 a - 14854\bigr] \)
|
| 33124.4-c2
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -4 a - 4\) , \( 9 a + 4\bigr] \)
|
| 33124.4-c3
| \( \bigl[a\) , \( 1\) , \( 1\) , \( 31 a + 36\) , \( -207 a - 98\bigr] \)
|
| 33124.4-c4
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -249 a - 284\) , \( -2511 a - 1186\bigr] \)
|
| 33124.4-c5
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -549 a + 4926\) , \( -128647 a + 53982\bigr] \)
|
| 33124.4-c6
| \( \bigl[a\) , \( 1\) , \( 1\) , \( 4741 a - 134\) , \( 2953 a - 113338\bigr] \)
|
| 33124.4-c7
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -74 a - 84\) , \( 441 a + 208\bigr] \)
|
| 33124.4-c8
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -469 a + 4776\) , \( -135375 a + 53246\bigr] \)
|
| 33124.4-c9
| \( \bigl[a\) , \( 1\) , \( 1\) , \( 4591 a - 64\) , \( -975 a - 117634\bigr] \)
|
| 33124.4-c10
| \( \bigl[a\) , \( 1\) , \( 1\) , \( -19114 a - 21844\) , \( -1985247 a - 937478\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)
