Elliptic curves in class 16.2-b over 4.4.9248.1
Isogeny class 16.2-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 16.2-b1
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} - a + 4\) , \( a^{3} - 4 a\) , \( -19 a^{3} + 5 a^{2} + 107 a - 58\) , \( 104 a^{3} - 107 a^{2} - 346 a + 221\bigr] \)
|
| 16.2-b2
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{2} + a + 4\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 6 a^{3} + 5 a^{2} - 24 a - 14\) , \( 5 a^{3} + 5 a^{2} - 17 a - 11\bigr] \)
|
| 16.2-b3
| \( \bigl[a\) , \( -a^{3} + a^{2} + 3 a - 3\) , \( a\) , \( 973 a^{3} + 644 a^{2} - 4441 a - 2935\) , \( 26222 a^{3} + 17364 a^{2} - 119614 a - 79206\bigr] \)
|
| 16.2-b4
| \( \bigl[a\) , \( -a^{3} + a^{2} + 5 a - 4\) , \( 0\) , \( 358 a^{3} + 234 a^{2} - 1633 a - 1066\) , \( 6158 a^{3} + 4080 a^{2} - 28090 a - 18611\bigr] \)
|
| 16.2-b5
| \( \bigl[a\) , \( -a^{2} + a + 4\) , \( a\) , \( -48 a^{3} + 30 a^{2} + 220 a - 139\) , \( -48 a^{3} + 31 a^{2} + 219 a - 142\bigr] \)
|
| 16.2-b6
| \( \bigl[a\) , \( -a^{2} + a + 4\) , \( a\) , \( 192 a^{3} - 130 a^{2} - 870 a + 581\) , \( 190 a^{3} - 121 a^{2} - 879 a + 578\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 8 & 4 & 8 \\
4 & 1 & 2 & 8 & 4 & 8 \\
2 & 2 & 1 & 4 & 2 & 4 \\
8 & 8 & 4 & 1 & 2 & 4 \\
4 & 4 & 2 & 2 & 1 & 2 \\
8 & 8 & 4 & 4 & 2 & 1
\end{array}\right)\)
