Elliptic curves in class 11.1-a over 5.5.38569.1
Isogeny class 11.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 11.1-a1
| \( \bigl[2 a^{4} + a^{3} - 9 a^{2} - 4 a + 4\) , \( 2 a^{4} + a^{3} - 10 a^{2} - 5 a + 7\) , \( 0\) , \( -12 a^{4} - 4 a^{3} + 60 a^{2} + 20 a - 48\) , \( -79 a^{4} - 24 a^{3} + 391 a^{2} + 116 a - 295\bigr] \)
|
| 11.1-a2
| \( \bigl[a^{2} - 2\) , \( 2 a^{4} + a^{3} - 9 a^{2} - 3 a + 4\) , \( 0\) , \( -96 a^{4} + 168 a^{3} + 661 a^{2} - 755 a - 1358\) , \( 5500 a^{4} + 560 a^{3} - 28426 a^{2} - 4444 a + 23872\bigr] \)
|
| 11.1-a3
| \( \bigl[2 a^{4} + a^{3} - 9 a^{2} - 4 a + 4\) , \( 2 a^{4} + a^{3} - 10 a^{2} - 5 a + 7\) , \( 0\) , \( 3 a^{4} + a^{3} - 15 a^{2} - 5 a + 12\) , \( 0\bigr] \)
|
| 11.1-a4
| \( \bigl[a^{4} - 4 a^{2} + 1\) , \( -a^{2} - a + 1\) , \( 2 a^{4} + a^{3} - 9 a^{2} - 4 a + 5\) , \( 10 a^{4} - 10 a^{3} - 54 a^{2} + 67 a + 4\) , \( 704 a^{4} + 215 a^{3} - 3442 a^{2} - 1166 a + 2698\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)
