Elliptic curves in class 1.1-a over 6.6.485125.1
Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 33.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[a^{5} - a^{4} - 4 a^{3} + 3 a^{2} + 3 a - 1\) , \( -a^{5} + 6 a^{3} - 7 a - 2\) , \( a^{2} + a - 1\) , \( -126 a^{5} - 117 a^{4} + 741 a^{3} + 702 a^{2} - 1132 a - 1114\) , \( -3781 a^{5} - 2012 a^{4} + 17879 a^{3} + 9699 a^{2} - 19472 a - 13392\bigr] \)
|
| 1.1-a2
| \( \bigl[a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 5 a - 1\) , \( a^{3} - 4 a - 1\) , \( -2 a^{5} + 3 a^{4} + 9 a^{3} - 10 a^{2} - 8 a + 3\) , \( 2 a^{5} - 4 a^{4} - 8 a^{3} + 13 a^{2} + 6 a - 1\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 9 a + 2\bigr] \)
|
| 1.1-a3
| \( \bigl[-a^{5} + a^{4} + 5 a^{3} - 3 a^{2} - 5 a + 1\) , \( -3 a^{5} + 3 a^{4} + 14 a^{3} - 10 a^{2} - 12 a + 3\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 7 a^{2} - 3 a + 3\) , \( -3 a^{5} + 2 a^{4} + 12 a^{3} - 8 a^{2} - 4 a + 10\) , \( 15 a^{5} - 21 a^{4} - 72 a^{3} + 77 a^{2} + 76 a - 28\bigr] \)
|
| 1.1-a4
| \( \bigl[a^{3} - 2 a - 1\) , \( a^{5} - 2 a^{4} - 5 a^{3} + 7 a^{2} + 5 a - 2\) , \( a^{4} - 4 a^{2} + 2\) , \( 12 a^{5} - 309 a^{4} + 430 a^{3} + 744 a^{2} - 744 a - 755\) , \( 246 a^{5} - 5098 a^{4} + 8671 a^{3} + 8475 a^{2} - 12326 a - 7849\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 33 & 11 & 3 \\
33 & 1 & 3 & 11 \\
11 & 3 & 1 & 33 \\
3 & 11 & 33 & 1
\end{array}\right)\)
