Elliptic curves in class 16.1-b over 4.4.13768.1
Isogeny class 16.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
16.1-b1
| \( \bigl[a^{3} - 4 a - 2\) , \( a^{3} - a^{2} - 5 a\) , \( a^{3} - a^{2} - 4 a + 2\) , \( 20 a^{3} - 2 a^{2} - 104 a - 55\) , \( -85 a^{3} + 17 a^{2} + 433 a + 180\bigr] \)
|
16.1-b2
| \( \bigl[a^{2} - 2\) , \( -a^{3} + 6 a + 2\) , \( a^{3} - 4 a - 2\) , \( -a^{2} - 4 a - 2\) , \( -2 a^{3} - 5 a^{2} - 2 a\bigr] \)
|
16.1-b3
| \( \bigl[a\) , \( a + 1\) , \( a^{3} - a^{2} - 4 a + 2\) , \( 3 a - 1\) , \( a^{3} - a^{2} - 3 a + 2\bigr] \)
|
16.1-b4
| \( \bigl[a\) , \( -a^{3} + 6 a + 2\) , \( 0\) , \( -a^{3} - 2 a^{2} + 9 a + 5\) , \( -2 a^{3} + 5 a^{2} + 3 a\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)