Elliptic curves in class 176.2-c over 4.4.6809.1
Isogeny class 176.2-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 176.2-c1
| \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( a^{3} - 6 a\) , \( 0\) , \( -5 a^{3} - 13 a^{2} - 9 a\) , \( 19 a^{3} + 62 a^{2} + 53 a + 12\bigr] \)
|
| 176.2-c2
| \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( a^{3} - a^{2} - 4 a + 1\) , \( a^{2} - 3\) , \( -a^{3} - a^{2} + 7 a - 2\) , \( -26 a^{3} + 14 a^{2} + 123 a - 44\bigr] \)
|
| 176.2-c3
| \( \bigl[a^{3} + a^{2} - 5 a - 3\) , \( a^{3} - a^{2} - 4 a + 1\) , \( a^{2} - 3\) , \( 19 a^{3} - 11 a^{2} - 98 a + 33\) , \( 666 a^{3} - 392 a^{2} - 3077 a + 1126\bigr] \)
|
| 176.2-c4
| \( \bigl[a^{2} + a - 2\) , \( a^{3} - 6 a - 1\) , \( a^{3} - 4 a - 1\) , \( 375 a^{3} - 863 a^{2} - 113 a + 282\) , \( 12081 a^{3} - 23161 a^{2} - 11809 a + 3393\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
