Elliptic curves in class 26.1-a over 6.6.1868969.1
Isogeny class 26.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 26.1-a1
| \( \bigl[a^{5} - 4 a^{3} - a^{2} + a - 1\) , \( -a^{5} + 5 a^{3} + 2 a^{2} - 4 a - 3\) , \( a^{5} - 5 a^{3} + 5 a - 2\) , \( 149 a^{5} + 216 a^{4} - 703 a^{3} - 1153 a^{2} + 79 a + 317\) , \( 3055 a^{5} + 3281 a^{4} - 14232 a^{3} - 18426 a^{2} + 2076 a + 4981\bigr] \)
|
| 26.1-a2
| \( \bigl[-a^{4} + a^{3} + 4 a^{2} - 2 a - 1\) , \( 2 a^{4} - a^{3} - 9 a^{2} + 6\) , \( a^{4} - 4 a^{2} - a + 1\) , \( -a^{5} + a^{4} + 3 a^{3} - 2 a^{2} + 5\) , \( 2 a^{4} - a^{3} - 8 a^{2} + 4\bigr] \)
|
| 26.1-a3
| \( \bigl[a^{5} + a^{4} - 5 a^{3} - 6 a^{2} + 3 a + 3\) , \( a^{4} - a^{3} - 5 a^{2} + 3 a + 3\) , \( a^{4} - 5 a^{2} + 4\) , \( -7 a^{5} - 6 a^{4} + 39 a^{3} + 38 a^{2} - 34 a - 31\) , \( 5 a^{5} - 29 a^{3} - 9 a^{2} + 34 a + 21\bigr] \)
|
| 26.1-a4
| \( \bigl[a^{5} - a^{4} - 4 a^{3} + 3 a^{2} + 2 a - 1\) , \( -a^{3} + 2 a^{2} + 2 a - 3\) , \( a\) , \( -60 a^{5} - 121 a^{4} + 87 a^{3} + 201 a^{2} - 20 a - 43\) , \( -1031 a^{5} - 2231 a^{4} + 1293 a^{3} + 3745 a^{2} - 2 a - 913\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
