Elliptic curves in class 33124.6-c over \(\Q(\sqrt{-3}) \)
Isogeny class 33124.6-c contains
10 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 33124.6-c1
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 1364 a + 1193\) , \( 31455 a - 46309\bigr] \)
|
| 33124.6-c2
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 4 a + 3\) , \( -9 a + 13\bigr] \)
|
| 33124.6-c3
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -36 a - 32\) , \( 207 a - 305\bigr] \)
|
| 33124.6-c4
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 284 a + 248\) , \( 2511 a - 3697\bigr] \)
|
| 33124.6-c5
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 134 a - 4742\) , \( -2953 a - 110385\bigr] \)
|
| 33124.6-c6
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -4926 a + 548\) , \( 128647 a - 74665\bigr] \)
|
| 33124.6-c7
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 84 a + 73\) , \( -441 a + 649\bigr] \)
|
| 33124.6-c8
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 64 a - 4592\) , \( 975 a - 118609\bigr] \)
|
| 33124.6-c9
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -4776 a + 468\) , \( 135375 a - 82129\bigr] \)
|
| 33124.6-c10
| \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 21844 a + 19113\) , \( 1985247 a - 2922725\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)
