Elliptic curves in class 432.1-o over \(\Q(\sqrt{7}) \)
Isogeny class 432.1-o contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 432.1-o1
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -1371 a - 3651\) , \( 49160 a + 130015\bigr] \)
|
| 432.1-o2
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 9 a + 24\) , \( 65 a + 172\bigr] \)
|
| 432.1-o3
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 569 a + 1409\) , \( -27640 a - 72785\bigr] \)
|
| 432.1-o4
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -361 a - 961\) , \( -5800 a - 15341\bigr] \)
|
| 432.1-o5
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -91 a - 241\) , \( 590 a + 1561\bigr] \)
|
| 432.1-o6
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -5611 a - 14851\) , \( -378520 a - 1001465\bigr] \)
|
| 432.1-o7
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -1421 a - 3761\) , \( 45900 a + 121439\bigr] \)
|
| 432.1-o8
| \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -22751 a - 60191\) , \( 3013200 a + 7972175\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)
