Isogeny class 79.4-c contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 79.4-c1
| \( \bigl[a^{5} + a^{4} - 4 a^{3} - 4 a^{2} + 2 a + 3\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( a^{2} + a - 2\) , \( -6 a^{5} + 13 a^{4} + 16 a^{3} - 44 a^{2} + 9 a + 11\) , \( 15 a^{5} - 33 a^{4} - 38 a^{3} + 107 a^{2} - 30 a - 14\bigr] \)
|
| 79.4-c2
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{3} - a^{2} + 3 a + 2\) , \( a^{5} - 4 a^{3} + a^{2} + 2 a - 2\) , \( a^{4} + a^{3} - 3 a^{2} - 4 a\) , \( -2 a^{5} + a^{4} + 12 a^{3} - a^{2} - 16 a - 5\bigr] \)
|
| 79.4-c3
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( -a^{5} - a^{4} + 6 a^{3} + 4 a^{2} - 9 a - 1\) , \( a^{5} - 4 a^{3} + a^{2} + 3 a - 2\) , \( 8 a^{5} + 87 a^{4} - 136 a^{3} - 266 a^{2} + 327 a - 71\) , \( -465 a^{5} + 1504 a^{4} + 575 a^{3} - 4782 a^{2} + 2674 a + 6\bigr] \)
|
| 79.4-c4
| \( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( -a^{5} - a^{4} + 6 a^{3} + 4 a^{2} - 9 a - 1\) , \( a^{5} - 4 a^{3} + a^{2} + 3 a - 2\) , \( -947 a^{5} + 2047 a^{4} + 2349 a^{3} - 6681 a^{2} + 2027 a + 739\) , \( -37043 a^{5} + 78539 a^{4} + 95061 a^{3} - 254944 a^{2} + 69625 a + 31719\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
