Elliptic curves in class 16.2-d over 4.4.9248.1
Isogeny class 16.2-d contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
16.2-d1
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} + 4\) , \( 0\) , \( 19 a^{3} + 6 a^{2} - 100 a - 56\) , \( -99 a^{3} - 116 a^{2} + 290 a + 184\bigr] \)
|
16.2-d2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} + a + 4\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -7 a^{3} + 5 a^{2} + 36 a - 14\) , \( 4 a^{3} - 11 a + 15\bigr] \)
|
16.2-d3
| \( \bigl[a\) , \( a^{3} + a^{2} - 3 a - 3\) , \( a\) , \( -973 a^{3} + 644 a^{2} + 4441 a - 2935\) , \( -26222 a^{3} + 17364 a^{2} + 119614 a - 79206\bigr] \)
|
16.2-d4
| \( \bigl[a\) , \( a^{3} + a^{2} - 5 a - 4\) , \( 0\) , \( -358 a^{3} + 234 a^{2} + 1633 a - 1066\) , \( -6158 a^{3} + 4080 a^{2} + 28090 a - 18611\bigr] \)
|
16.2-d5
| \( \bigl[a\) , \( -a^{2} - a + 4\) , \( a\) , \( 48 a^{3} + 30 a^{2} - 220 a - 139\) , \( 48 a^{3} + 31 a^{2} - 219 a - 142\bigr] \)
|
16.2-d6
| \( \bigl[a\) , \( -a^{2} - a + 4\) , \( a\) , \( -192 a^{3} - 130 a^{2} + 870 a + 581\) , \( -190 a^{3} - 121 a^{2} + 879 a + 578\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)