Elliptic curves in class 161.2-A over 3.1.23.1
Isogeny class 161.2-A contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 161.2-A1
| \( \bigl[a^{2}\) , \( a^{2} + a\) , \( a^{2} + 1\) , \( -1\) , \( -a^{2}\bigr] \)
|
| 161.2-A2
| \( \bigl[a^{2}\) , \( a^{2} + a\) , \( a^{2} + 1\) , \( -6\) , \( -6 a^{2} + 4 a + 1\bigr] \)
|
| 161.2-A3
| \( \bigl[1\) , \( -a^{2}\) , \( a^{2} + a + 1\) , \( -262 a^{2} + 457 a - 348\) , \( -2894 a^{2} + 5076 a - 3832\bigr] \)
|
| 161.2-A4
| \( \bigl[a + 1\) , \( -a^{2} + a\) , \( 1\) , \( -336 a^{2} + 85 a + 256\) , \( -1008 a^{2} + 2146 a + 2194\bigr] \)
|
| 161.2-A5
| \( \bigl[a^{2} + a + 1\) , \( a^{2} + a\) , \( a\) , \( -122205 a^{2} + 214461 a - 161897\) , \( -29503518 a^{2} + 51775066 a - 39083845\bigr] \)
|
| 161.2-A6
| \( \bigl[a^{2}\) , \( a^{2} + a\) , \( a^{2} + 1\) , \( -40 a^{2} + 60 a - 21\) , \( -93 a^{2} + 198 a - 118\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 2 & 4 & 4 & 8 \\
8 & 1 & 4 & 8 & 2 & 4 \\
2 & 4 & 1 & 2 & 2 & 4 \\
4 & 8 & 2 & 1 & 4 & 8 \\
4 & 2 & 2 & 4 & 1 & 2 \\
8 & 4 & 4 & 8 & 2 & 1
\end{array}\right)\)
