Elliptic curves in class 25.2-c over 4.4.4205.1
Isogeny class 25.2-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.2-c1
| \( \bigl[a^{2} - 2 a - 2\) , \( a^{2} - a - 2\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -674 a^{3} + 1104 a^{2} + 2595 a - 1107\) , \( -11941 a^{3} + 19624 a^{2} + 46771 a - 18677\bigr] \)
|
| 25.2-c2
| \( \bigl[a^{2} - 2 a - 2\) , \( a^{2} - a - 2\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -19 a^{3} + 19 a^{2} + 60 a - 22\) , \( 31 a^{3} - 8 a^{2} - 71 a + 24\bigr] \)
|
| 25.2-c3
| \( \bigl[a^{2} - 2 a - 2\) , \( a^{2} - a - 2\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -9 a^{3} + 14 a^{2} + 35 a - 12\) , \( -14 a^{3} + 23 a^{2} + 55 a - 22\bigr] \)
|
| 25.2-c4
| \( \bigl[a^{3} - a^{2} - 5 a - 1\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( a^{2} - 2 a - 2\) , \( 114 a^{3} - 197 a^{2} - 323 a - 110\) , \( 942 a^{3} - 1711 a^{2} - 2507 a - 671\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
