Elliptic curves in class 36288.7-c over \(\Q(\sqrt{-7}) \)
Isogeny class 36288.7-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 36288.7-c1
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1530 a - 2143\) , \( -98073 a + 62306\bigr] \)
|
| 36288.7-c2
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -45 a + 62\) , \( -45 a + 62\bigr] \)
|
| 36288.7-c3
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 180 a - 253\) , \( -279 a + 44\bigr] \)
|
| 36288.7-c4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -111 a - 76\) , \( -833 a + 90\bigr] \)
|
| 36288.7-c5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 1755 a - 2458\) , \( 43065 a - 29188\bigr] \)
|
| 36288.7-c6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 51 a + 158\) , \( -621 a + 894\bigr] \)
|
| 36288.7-c7
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 2205 a - 3088\) , \( -60219 a + 37304\bigr] \)
|
| 36288.7-c8
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 35280 a - 49393\) , \( -3873105 a + 2479562\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 16 & 8 & 16 & 2 & 4 \\
8 & 1 & 2 & 2 & 4 & 2 & 4 & 8 \\
4 & 2 & 1 & 4 & 2 & 4 & 2 & 4 \\
16 & 2 & 4 & 1 & 8 & 4 & 8 & 16 \\
8 & 4 & 2 & 8 & 1 & 8 & 4 & 8 \\
16 & 2 & 4 & 4 & 8 & 1 & 8 & 16 \\
2 & 4 & 2 & 8 & 4 & 8 & 1 & 2 \\
4 & 8 & 4 & 16 & 8 & 16 & 2 & 1
\end{array}\right)\)
