Elliptic curves in class 44.1-d over 6.6.1312625.1
Isogeny class 44.1-d contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 44.1-d1
| \( \bigl[a^{2} - 2\) , \( a^{4} - a^{3} - 5 a^{2} + 4 a + 3\) , \( -a^{5} + 7 a^{3} + a^{2} - 11 a - 2\) , \( a^{5} - 7 a^{4} + 6 a^{3} + 21 a^{2} - 27 a + 1\) , \( 2 a^{5} + 15 a^{4} - 40 a^{3} - 48 a^{2} + 95 a + 9\bigr] \)
|
| 44.1-d2
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{4} - 4 a^{2} + 2\) , \( a^{4} - 4 a^{2} + 1\) , \( 2 a^{4} - 3 a^{3} - 4 a^{2} + 14 a - 11\) , \( 2 a^{5} - a^{4} - 10 a^{3} + 7 a^{2} + 9 a - 8\bigr] \)
|
| 44.1-d3
| \( \bigl[-a^{5} + 7 a^{3} + a^{2} - 11 a - 1\) , \( 2 a^{5} + a^{4} - 13 a^{3} - 5 a^{2} + 20 a + 4\) , \( a^{2} + a - 3\) , \( 32 a^{5} + 4 a^{4} - 192 a^{3} - 19 a^{2} + 242 a + 2\) , \( -2522 a^{5} - 1249 a^{4} + 15792 a^{3} + 5951 a^{2} - 21383 a - 1674\bigr] \)
|
| 44.1-d4
| \( \bigl[a^{3} - 3 a + 1\) , \( a^{4} - 4 a^{2} + 2\) , \( a^{4} - 4 a^{2} + 1\) , \( -15 a^{5} + 27 a^{4} + 67 a^{3} - 124 a^{2} - 16 a + 54\) , \( -41 a^{5} + 117 a^{4} + 101 a^{3} - 503 a^{2} + 286 a + 80\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
