Elliptic curves in class 87808.2-r over \(\Q(\sqrt{-3}) \)
Isogeny class 87808.2-r contains
10 curves linked by isogenies of
degrees dividing 18.
| Curve label |
Weierstrass Coefficients |
| 87808.2-r1
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -13642 a - 8185\) , \( 992919 a + 47735\bigr] \)
|
| 87808.2-r2
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -42 a - 25\) , \( -329 a - 41\bigr] \)
|
| 87808.2-r3
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 358 a + 215\) , \( 6983 a + 583\bigr] \)
|
| 87808.2-r4
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2842 a - 1705\) , \( 77511 a + 2759\bigr] \)
|
| 87808.2-r5
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 3718 a + 38295\) , \( 3218023 a - 2075897\bigr] \)
|
| 87808.2-r6
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 44198 a - 9545\) , \( 852103 a + 2328103\bigr] \)
|
| 87808.2-r7
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -842 a - 505\) , \( -14953 a - 1289\bigr] \)
|
| 87808.2-r8
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4198 a + 37015\) , \( 3414599 a - 2115065\bigr] \)
|
| 87808.2-r9
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 42918 a - 8745\) , \( 995719 a + 2385735\bigr] \)
|
| 87808.2-r10
| \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -218442 a - 131065\) , \( 63309463 a + 3398263\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrr}
1 & 9 & 3 & 6 & 18 & 18 & 18 & 9 & 9 & 2 \\
9 & 1 & 3 & 6 & 18 & 18 & 2 & 9 & 9 & 18 \\
3 & 3 & 1 & 2 & 6 & 6 & 6 & 3 & 3 & 6 \\
6 & 6 & 2 & 1 & 3 & 3 & 3 & 6 & 6 & 3 \\
18 & 18 & 6 & 3 & 1 & 9 & 9 & 2 & 18 & 9 \\
18 & 18 & 6 & 3 & 9 & 1 & 9 & 18 & 2 & 9 \\
18 & 2 & 6 & 3 & 9 & 9 & 1 & 18 & 18 & 9 \\
9 & 9 & 3 & 6 & 2 & 18 & 18 & 1 & 9 & 18 \\
9 & 9 & 3 & 6 & 18 & 2 & 18 & 9 & 1 & 18 \\
2 & 18 & 6 & 3 & 9 & 9 & 9 & 18 & 18 & 1
\end{array}\right)\)
