Elliptic curves in class 26.1-a over 4.4.9248.1
Isogeny class 26.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 26.1-a1
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} - 3 a + 1\) , \( a^{3} - 3 a + 1\) , \( 87 a^{3} - 182 a^{2} - 44 a + 78\) , \( -1345 a^{3} + 2874 a^{2} + 588 a - 1265\bigr] \)
|
| 26.1-a2
| \( \bigl[a^{3} - 4 a + 1\) , \( -a^{3} - a^{2} + 3 a + 4\) , \( a^{3} - 4 a\) , \( 12 a^{3} - 20 a^{2} - 77 a + 46\) , \( 13 a^{3} + 76 a^{2} + 42 a - 130\bigr] \)
|
| 26.1-a3
| \( \bigl[a + 1\) , \( -a^{3} + 3 a\) , \( a^{3} - 4 a\) , \( -a^{3} - a^{2} + 2 a + 2\) , \( a^{2} - 2\bigr] \)
|
| 26.1-a4
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} - 3 a + 1\) , \( a^{3} - 3 a + 1\) , \( 2 a^{3} - 2 a^{2} - 4 a + 3\) , \( -2 a^{3} + 5 a^{2} - a - 1\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
