Elliptic curves in class 16.1-a over 3.3.316.1
Isogeny class 16.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 16.1-a1
| \( \bigl[a^{2} - 2\) , \( a^{2} - a - 3\) , \( a^{2} - 2\) , \( -3 a^{2} + 2 a + 9\) , \( -2 a^{2} + 3 a + 2\bigr] \)
|
| 16.1-a2
| \( \bigl[a\) , \( a^{2} + a - 4\) , \( 0\) , \( 89717 a^{2} - 47509 a - 381256\) , \( -21491631 a^{2} + 11375920 a + 91321039\bigr] \)
|
| 16.1-a3
| \( \bigl[a\) , \( a^{2} + a - 4\) , \( 0\) , \( 5607 a^{2} - 2969 a - 23826\) , \( -340349 a^{2} + 180146 a + 1446179\bigr] \)
|
| 16.1-a4
| \( \bigl[a\) , \( a^{2} - 2\) , \( a^{2} - 2\) , \( 49623936 a^{2} - 26266736 a - 210859010\) , \( -374288977427 a^{2} + 198117361452 a + 1590406466852\bigr] \)
|
| 16.1-a5
| \( \bigl[a\) , \( -a\) , \( a^{2} - 2\) , \( -a^{2} - a + 1\) , \( -a^{2} + a - 1\bigr] \)
|
| 16.1-a6
| \( \bigl[a\) , \( -a\) , \( a^{2} - 2\) , \( -6 a^{2} - 11 a + 6\) , \( -16 a^{2} - 18 a + 11\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
