Elliptic curves in class 16.5-c over 4.4.9248.1
Isogeny class 16.5-c contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 16.5-c1
| \( \bigl[a^{3} - 4 a + 1\) , \( a\) , \( a^{3} - 3 a\) , \( 10 a^{3} - 10 a^{2} - 40 a - 24\) , \( 48 a^{3} + 4 a^{2} - 140 a - 84\bigr] \)
|
| 16.5-c2
| \( \bigl[a^{3} - 4 a + 1\) , \( a\) , \( a^{3} - 3 a\) , \( -4\) , \( -4\bigr] \)
|
| 16.5-c3
| \( \bigl[a^{3} - 4 a + 1\) , \( -a^{3} - a^{2} + 3 a + 4\) , \( a^{3} - 3 a\) , \( 9 a^{3} + 7 a^{2} + 4\) , \( 28 a^{3} + 15 a^{2} - 10 a - 2\bigr] \)
|
| 16.5-c4
| \( \bigl[a + 1\) , \( -a^{3} + 3 a\) , \( a^{2} + a - 2\) , \( -13 a^{3} - 14 a^{2} + 64 a + 46\) , \( 183 a^{3} + 102 a^{2} - 808 a - 528\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
