Elliptic curves in class 27.1-c over 4.4.11661.1
Isogeny class 27.1-c contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 27.1-c1
| \( \bigl[a^{3} - 5 a - 2\) , \( a^{3} - a^{2} - 4 a\) , \( a^{2} - 3\) , \( 5 a^{3} - 4 a^{2} - 22 a - 8\) , \( -5 a^{3} + 2 a^{2} + 25 a + 9\bigr] \)
|
| 27.1-c2
| \( \bigl[a^{3} - 4 a - 1\) , \( a^{3} - 6 a - 3\) , \( 0\) , \( a^{3} + 3 a^{2} - 3 a - 2\) , \( 0\bigr] \)
|
| 27.1-c3
| \( \bigl[a^{3} - 4 a - 1\) , \( a^{3} - 6 a - 3\) , \( 0\) , \( -4 a^{3} - 12 a^{2} + 12 a + 8\) , \( -87 a^{3} - 64 a^{2} + 247 a + 122\bigr] \)
|
| 27.1-c4
| \( \bigl[a\) , \( -a^{3} + 2 a^{2} + 2 a - 5\) , \( a\) , \( -23 a^{3} + 68 a^{2} + 47 a - 205\) , \( 285 a^{3} - 764 a^{2} - 755 a + 2048\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
