Isogeny class 79.1-c contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 79.1-c1
| \( \bigl[a^{4} - 3 a^{2} + a\) , \( -a^{4} + 3 a^{2} + a - 1\) , \( a^{4} - 3 a^{2} + a\) , \( -36 a^{5} + 65 a^{4} + 103 a^{3} - 230 a^{2} + 50 a + 24\) , \( -259 a^{5} + 514 a^{4} + 687 a^{3} - 1743 a^{2} + 502 a + 177\bigr] \)
|
| 79.1-c2
| \( \bigl[a^{5} - 4 a^{3} + 3 a + 1\) , \( a^{5} + a^{4} - 4 a^{3} - 3 a^{2} + a - 1\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -12 a^{5} + 3 a^{4} + 61 a^{3} - 66 a - 15\) , \( 37 a^{5} - 7 a^{4} - 188 a^{3} + a^{2} + 217 a + 50\bigr] \)
|
| 79.1-c3
| \( \bigl[a^{4} - 3 a^{2} + a\) , \( -a^{4} + 3 a^{2} + a - 1\) , \( a^{4} - 3 a^{2} + a\) , \( 4 a^{5} - 10 a^{4} - 12 a^{3} + 30 a^{2} + 10 a - 21\) , \( -15 a^{5} + 27 a^{4} + 43 a^{3} - 71 a^{2} - 34 a + 43\bigr] \)
|
| 79.1-c4
| \( \bigl[a^{4} - 3 a^{2} + a\) , \( -a^{4} + 3 a^{2} + a - 1\) , \( a^{4} - 3 a^{2} + a\) , \( 4 a^{5} - 200 a^{4} + 73 a^{3} + 365 a^{2} + 85 a - 231\) , \( 24 a^{5} - 2877 a^{4} + 1997 a^{3} + 4755 a^{2} - 931 a - 1732\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 10 & 2 \\
5 & 1 & 2 & 10 \\
10 & 2 & 1 & 5 \\
2 & 10 & 5 & 1
\end{array}\right)\)
