Elliptic curves in class 27.1-c over 3.3.321.1
Isogeny class 27.1-c contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
27.1-c1
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 2\) , \( -141 a^{2} + 401 a - 138\) , \( 1980 a^{2} - 5420 a + 1345\bigr] \)
|
27.1-c2
| \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 2\) , \( -6 a^{2} + 16 a - 8\) , \( 50 a^{2} - 138 a + 33\bigr] \)
|
27.1-c3
| \( \bigl[a + 1\) , \( a^{2} - 2\) , \( a^{2} - a - 2\) , \( 32 a^{2} + 2 a - 185\) , \( -130 a^{2} + 189 a + 334\bigr] \)
|
27.1-c4
| \( \bigl[a + 1\) , \( a^{2} - 2\) , \( a^{2} - a - 2\) , \( -8 a^{2} + 7 a + 45\) , \( -4 a^{2} + 12 a + 7\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)