Elliptic curves in class 16.5-b over 4.4.9248.1
Isogeny class 16.5-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 16.5-b1
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} - 5 a + 1\) , \( a^{2} + a - 2\) , \( 580 a^{3} + 435 a^{2} - 2647 a - 1987\) , \( 13380 a^{3} + 9064 a^{2} - 61035 a - 41349\bigr] \)
|
| 16.5-b2
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} - 5 a + 1\) , \( a^{2} + a - 2\) , \( 10 a^{3} + 45 a^{2} - 47 a - 207\) , \( -54 a^{3} + 282 a^{2} + 245 a - 1289\bigr] \)
|
| 16.5-b3
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} - a^{2} - 3 a + 3\) , \( a^{3} - 3 a\) , \( 3 a^{3} - 15 a + 4\) , \( 2 a^{3} - 2 a^{2} - 8 a + 6\bigr] \)
|
| 16.5-b4
| \( \bigl[a^{3} - 4 a + 1\) , \( -a^{3} + 4 a - 1\) , \( 0\) , \( -2 a^{3} - a^{2} + 7 a - 2\) , \( 3 a^{2} + 4 a - 4\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
