Elliptic curves in class 44.1-b over 6.6.1312625.1
Isogeny class 44.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 44.1-b1
| \( \bigl[1\) , \( 2 a^{5} + a^{4} - 14 a^{3} - 6 a^{2} + 23 a + 5\) , \( a^{5} - 6 a^{3} + 9 a\) , \( -55 a^{5} - 45 a^{4} + 294 a^{3} + 128 a^{2} - 407 a - 27\) , \( -296 a^{5} - 334 a^{4} + 1374 a^{3} + 880 a^{2} - 1702 a - 134\bigr] \)
|
| 44.1-b2
| \( \bigl[-a^{5} + 7 a^{3} + a^{2} - 10 a - 2\) , \( a^{5} - 6 a^{3} - a^{2} + 8 a + 2\) , \( a^{5} + a^{4} - 7 a^{3} - 5 a^{2} + 11 a + 3\) , \( 5 a^{5} + 4 a^{4} - 37 a^{3} - 10 a^{2} + 72 a - 24\) , \( -3 a^{5} + 16 a^{4} + 4 a^{3} - 72 a^{2} + 38 a + 26\bigr] \)
|
| 44.1-b3
| \( \bigl[-a^{5} + 7 a^{3} - 10 a + 2\) , \( -a^{3} + a^{2} + 2 a - 5\) , \( a^{5} - 6 a^{3} + 9 a\) , \( a^{5} - 7 a^{3} - 3 a^{2} + 10 a + 5\) , \( 206 a^{5} + 100 a^{4} - 1287 a^{3} - 480 a^{2} + 1738 a + 136\bigr] \)
|
| 44.1-b4
| \( \bigl[-a^{5} + 7 a^{3} + a^{2} - 10 a - 2\) , \( a^{5} - 6 a^{3} - a^{2} + 8 a + 2\) , \( a^{5} + a^{4} - 7 a^{3} - 5 a^{2} + 11 a + 3\) , \( 55 a^{5} - 16 a^{4} - 362 a^{3} + 160 a^{2} + 552 a - 409\) , \( -94 a^{5} + 359 a^{4} + 723 a^{3} - 2306 a^{2} - 1412 a + 3350\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
