Elliptic curves in class 37125.7-k over \(\Q(\sqrt{-11}) \)
Isogeny class 37125.7-k contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
37125.7-k1
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 10555 a - 34319\) , \( -1072600 a + 2175843\bigr] \)
|
37125.7-k2
| \( \bigl[a\) , \( 0\) , \( 1\) , \( 11 a + 669\) , \( -4019 a + 2152\bigr] \)
|
37125.7-k3
| \( \bigl[a\) , \( 0\) , \( 1\) , \( 3806 a + 3279\) , \( 40681 a - 300248\bigr] \)
|
37125.7-k4
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 655 a - 2144\) , \( -17755 a + 33978\bigr] \)
|
37125.7-k5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 70 a - 74\) , \( -169 a + 1191\bigr] \)
|
37125.7-k6
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 115 a - 3089\) , \( -32794 a - 10059\bigr] \)
|
37125.7-k7
| \( \bigl[a\) , \( 0\) , \( 1\) , \( 146 a + 624\) , \( -3893 a - 2690\bigr] \)
|
37125.7-k8
| \( \bigl[a\) , \( 0\) , \( 1\) , \( -1354 a - 2751\) , \( -39143 a - 13940\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 12 & 12 & 2 & 4 & 4 & 6 & 3 \\
12 & 1 & 4 & 6 & 3 & 12 & 2 & 4 \\
12 & 4 & 1 & 6 & 12 & 3 & 2 & 4 \\
2 & 6 & 6 & 1 & 2 & 2 & 3 & 6 \\
4 & 3 & 12 & 2 & 1 & 4 & 6 & 12 \\
4 & 12 & 3 & 2 & 4 & 1 & 6 & 12 \\
6 & 2 & 2 & 3 & 6 & 6 & 1 & 2 \\
3 & 4 & 4 & 6 & 12 & 12 & 2 & 1
\end{array}\right)\)