Elliptic curves in class 11.2-a over 5.5.70601.1
Isogeny class 11.2-a contains
4 curves linked by isogenies of
degrees dividing 15.
| Curve label |
Weierstrass Coefficients |
| 11.2-a1
| \( \bigl[2 a^{4} - 2 a^{3} - 9 a^{2} + 4 a + 2\) , \( -a^{4} + 6 a^{2} + 2 a - 2\) , \( 3 a^{4} - 2 a^{3} - 15 a^{2} + 2 a + 6\) , \( -73 a^{4} + 29 a^{3} + 403 a^{2} + 60 a - 263\) , \( -329 a^{4} + 126 a^{3} + 1875 a^{2} + 263 a - 1434\bigr] \)
|
| 11.2-a2
| \( \bigl[a^{4} - 6 a^{2} - a + 4\) , \( -1\) , \( 2 a^{4} - a^{3} - 11 a^{2} + 5\) , \( 111 a^{4} - 121 a^{3} - 452 a^{2} + 176 a - 91\) , \( 867 a^{4} - 1021 a^{3} - 3514 a^{2} + 1727 a - 475\bigr] \)
|
| 11.2-a3
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 4\) , \( -a^{4} + a^{3} + 5 a^{2} - 3 a - 2\) , \( a^{4} - a^{3} - 4 a^{2} + a\) , \( a^{4} - 5 a^{2} - 4 a + 2\) , \( 0\bigr] \)
|
| 11.2-a4
| \( \bigl[3 a^{4} - 2 a^{3} - 15 a^{2} + a + 6\) , \( a^{3} - 2 a^{2} - 2 a + 3\) , \( a^{4} - a^{3} - 5 a^{2} + 3 a + 2\) , \( 3 a^{4} - 3 a^{3} - 16 a^{2} + 2 a + 13\) , \( -4 a^{4} + 4 a^{3} + 19 a^{2} - 3 a - 10\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 5 & 15 \\
3 & 1 & 15 & 5 \\
5 & 15 & 1 & 3 \\
15 & 5 & 3 & 1
\end{array}\right)\)
