Elliptic curves in class 87808.3-c over \(\Q(\sqrt{-3}) \)
Isogeny class 87808.3-c contains
10 curves linked by isogenies of
degrees dividing 18.
Curve label |
Weierstrass Coefficients |
87808.3-c1
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 8185 a + 13642\) , \( 992919 a - 1040654\bigr] \)
|
87808.3-c2
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 25 a + 42\) , \( -329 a + 370\bigr] \)
|
87808.3-c3
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -215 a - 358\) , \( 6983 a - 7566\bigr] \)
|
87808.3-c4
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 1705 a + 2842\) , \( 77511 a - 80270\bigr] \)
|
87808.3-c5
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 9545 a - 44198\) , \( 852103 a - 3180206\bigr] \)
|
87808.3-c6
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -38295 a - 3718\) , \( 3218023 a - 1142126\bigr] \)
|
87808.3-c7
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 505 a + 842\) , \( -14953 a + 16242\bigr] \)
|
87808.3-c8
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 8745 a - 42918\) , \( 995719 a - 3381454\bigr] \)
|
87808.3-c9
| \( \bigl[0\) , \( 1\) , \( 0\) , \( -37015 a - 4198\) , \( 3414599 a - 1299534\bigr] \)
|
87808.3-c10
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 131065 a + 218442\) , \( 63309463 a - 66707726\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)