Elliptic curves in class 14112.2-c over \(\Q(\sqrt{-7}) \)
Isogeny class 14112.2-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 14112.2-c1
| \( \bigl[a\) , \( 0\) , \( a\) , \( -204 a + 62\) , \( -1071 a + 1605\bigr] \)
|
| 14112.2-c2
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -85 a + 57\) , \( -439 a + 1023\bigr] \)
|
| 14112.2-c3
| \( \bigl[a\) , \( a + 1\) , \( a\) , \( -189 a + 201\) , \( -353 a + 2079\bigr] \)
|
| 14112.2-c4
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 8105 a - 5403\) , \( -69655 a + 175071\bigr] \)
|
| 14112.2-c5
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -2185 a + 1457\) , \( -9287 a + 21407\bigr] \)
|
| 14112.2-c6
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -19195 a + 12797\) , \( 662041 a - 1629697\bigr] \)
|
| 14112.2-c7
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -1765 a + 1177\) , \( -18807 a + 44927\bigr] \)
|
| 14112.2-c8
| \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -28225 a + 18817\) , \( -1197159 a + 2909663\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 16 & 8 & 16 & 4 & 8 \\
2 & 1 & 2 & 8 & 4 & 8 & 2 & 4 \\
4 & 2 & 1 & 16 & 8 & 16 & 4 & 8 \\
16 & 8 & 16 & 1 & 2 & 4 & 4 & 8 \\
8 & 4 & 8 & 2 & 1 & 2 & 2 & 4 \\
16 & 8 & 16 & 4 & 2 & 1 & 4 & 8 \\
4 & 2 & 4 & 4 & 2 & 4 & 1 & 2 \\
8 & 4 & 8 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
