Elliptic curves in class 7425.5-f over \(\Q(\sqrt{-11}) \)
Isogeny class 7425.5-f contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 7425.5-f1
| \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -3696 a - 1056\) , \( 128003 a - 86498\bigr] \)
|
| 7425.5-f2
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 80 a - 60\) , \( 275 a + 75\bigr] \)
|
| 7425.5-f3
| \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -231 a - 66\) , \( 1976 a - 1160\bigr] \)
|
| 7425.5-f4
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 545 a - 1635\) , \( -12757 a + 22188\bigr] \)
|
| 7425.5-f5
| \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -6 a - 21\) , \( 41 a - 89\bigr] \)
|
| 7425.5-f6
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 80 a - 105\) , \( 86 a + 507\bigr] \)
|
| 7425.5-f7
| \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -366 a + 204\) , \( 1409 a + 4294\bigr] \)
|
| 7425.5-f8
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -385 a + 705\) , \( 2093 a + 5394\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 12 & 2 & 12 & 4 & 6 & 4 & 3 \\
12 & 1 & 6 & 4 & 3 & 2 & 12 & 4 \\
2 & 6 & 1 & 6 & 2 & 3 & 2 & 6 \\
12 & 4 & 6 & 1 & 12 & 2 & 3 & 4 \\
4 & 3 & 2 & 12 & 1 & 6 & 4 & 12 \\
6 & 2 & 3 & 2 & 6 & 1 & 6 & 2 \\
4 & 12 & 2 & 3 & 4 & 6 & 1 & 12 \\
3 & 4 & 6 & 4 & 12 & 2 & 12 & 1
\end{array}\right)\)
