Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 27.1-a over 4.4.3981.1
Isogeny class 27.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 27.1-a1
| \( \bigl[a^{2} - 2\) , \( -a^{3} + a^{2} + 3 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -3 a^{3} - 5 a^{2} + a + 3\) , \( -11 a^{3} - 14 a^{2} + 12 a + 4\bigr] \)
|
| 27.1-a2
| \( \bigl[a^{3} - 3 a\) , \( 0\) , \( a^{2} - 2\) , \( 25 a^{3} - 52 a^{2} - 9 a - 1\) , \( -101 a^{3} + 315 a^{2} - 151 a - 89\bigr] \)
|
| 27.1-a3
| \( \bigl[1\) , \( a^{3} - 2 a^{2} - 3 a + 3\) , \( a + 1\) , \( 2 a^{3} - 3 a^{2} - 5 a + 4\) , \( -a^{3} + 3 a^{2} - 4 a + 1\bigr] \)
|
| 27.1-a4
| \( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a^{2} + a + 2\) , \( a^{3} - a^{2} - 2 a + 2\) , \( -28 a^{3} + 34 a^{2} + 106 a - 91\) , \( -36 a^{3} + 50 a^{2} + 119 a - 107\bigr] \)
|
