Elliptic curves in class 27225.6-c over \(\Q(\sqrt{-11}) \)
Isogeny class 27225.6-c contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 27225.6-c1
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -171 a + 85\) , \( 750 a - 1899\bigr] \)
|
| 27225.6-c2
| \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -169 a + 28\) , \( -984 a + 1556\bigr] \)
|
| 27225.6-c3
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -6 a + 30\) , \( 57 a - 18\bigr] \)
|
| 27225.6-c4
| \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -279 a + 523\) , \( -2524 a - 3889\bigr] \)
|
| 27225.6-c5
| \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -4 a - 27\) , \( -27 a + 137\bigr] \)
|
| 27225.6-c6
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -226 a - 355\) , \( -2143 a - 5243\bigr] \)
|
| 27225.6-c7
| \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -2699 a + 413\) , \( -63112 a + 89457\bigr] \)
|
| 27225.6-c8
| \( \bigl[1\) , \( -a + 1\) , \( 0\) , \( -2756 a + 1405\) , \( 49535 a - 112119\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 2 & 10 & 10 & 2 & 10 & 2 \\
5 & 1 & 10 & 2 & 2 & 10 & 2 & 10 \\
2 & 10 & 1 & 20 & 5 & 4 & 20 & 4 \\
10 & 2 & 20 & 1 & 4 & 20 & 4 & 5 \\
10 & 2 & 5 & 4 & 1 & 20 & 4 & 20 \\
2 & 10 & 4 & 20 & 20 & 1 & 5 & 4 \\
10 & 2 & 20 & 4 & 4 & 5 & 1 & 20 \\
2 & 10 & 4 & 5 & 20 & 4 & 20 & 1
\end{array}\right)\)
