Elliptic curves in class 37125.10-j over \(\Q(\sqrt{-11}) \)
Isogeny class 37125.10-j contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 37125.10-j1
| \( \bigl[1\) , \( -a\) , \( a\) , \( 15077 a + 15365\) , \( -474451 a + 2525045\bigr] \)
|
| 37125.10-j2
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -401 a + 86\) , \( -3426 a + 5057\bigr] \)
|
| 37125.10-j3
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -3816 a + 7071\) , \( -41764 a - 258576\bigr] \)
|
| 37125.10-j4
| \( \bigl[1\) , \( -a\) , \( a\) , \( 942 a + 955\) , \( -7919 a + 40332\bigr] \)
|
| 37125.10-j5
| \( \bigl[1\) , \( -a\) , \( a\) , \( 7 a + 120\) , \( 184 a + 1080\bigr] \)
|
| 37125.10-j6
| \( \bigl[1\) , \( -a\) , \( a\) , \( 1767 a - 95\) , \( -35399 a + 19527\bigr] \)
|
| 37125.10-j7
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -441 a + 321\) , \( -4639 a + 1299\bigr] \)
|
| 37125.10-j8
| \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 2294 a - 2669\) , \( -44686 a + 23022\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 12 & 12 & 2 & 4 & 4 & 6 & 3 \\
12 & 1 & 4 & 6 & 3 & 12 & 2 & 4 \\
12 & 4 & 1 & 6 & 12 & 3 & 2 & 4 \\
2 & 6 & 6 & 1 & 2 & 2 & 3 & 6 \\
4 & 3 & 12 & 2 & 1 & 4 & 6 & 12 \\
4 & 12 & 3 & 2 & 4 & 1 & 6 & 12 \\
6 & 2 & 2 & 3 & 6 & 6 & 1 & 2 \\
3 & 4 & 4 & 6 & 12 & 12 & 2 & 1
\end{array}\right)\)
