Elliptic curves in class 36288.1-c over \(\Q(\sqrt{-7}) \)
Isogeny class 36288.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 36288.1-c1
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1530 a - 612\) , \( 99603 a - 35154\bigr] \)
|
| 36288.1-c2
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 45 a + 18\) , \( 0\bigr] \)
|
| 36288.1-c3
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -180 a - 72\) , \( 459 a - 162\bigr] \)
|
| 36288.1-c4
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -51 a + 210\) , \( 672 a + 64\bigr] \)
|
| 36288.1-c5
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1755 a - 702\) , \( -41310 a + 14580\bigr] \)
|
| 36288.1-c6
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 111 a - 186\) , \( 722 a - 556\bigr] \)
|
| 36288.1-c7
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -2205 a - 882\) , \( 62424 a - 22032\bigr] \)
|
| 36288.1-c8
| \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -35280 a - 14112\) , \( 3908385 a - 1379430\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 4 & 16 & 8 & 16 & 2 & 4 \\
8 & 1 & 2 & 2 & 4 & 2 & 4 & 8 \\
4 & 2 & 1 & 4 & 2 & 4 & 2 & 4 \\
16 & 2 & 4 & 1 & 8 & 4 & 8 & 16 \\
8 & 4 & 2 & 8 & 1 & 8 & 4 & 8 \\
16 & 2 & 4 & 4 & 8 & 1 & 8 & 16 \\
2 & 4 & 2 & 8 & 4 & 8 & 1 & 2 \\
4 & 8 & 4 & 16 & 8 & 16 & 2 & 1
\end{array}\right)\)
