Elliptic curves in class 176.2-a over 4.4.2777.1
Isogeny class 176.2-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 176.2-a1
| \( \bigl[a^{2} - a - 2\) , \( a - 1\) , \( a^{3} - a^{2} - 3 a + 2\) , \( -3 a^{3} + 8 a^{2} + 6 a - 20\) , \( -9 a^{3} + 12 a^{2} + 28 a - 16\bigr] \)
|
| 176.2-a2
| \( \bigl[a^{2} - 2\) , \( -a^{3} + 2 a^{2} + 2 a - 2\) , \( a^{3} - 3 a\) , \( 5 a^{3} + 3 a^{2} - 2 a - 6\) , \( -65 a^{3} - 91 a^{2} + 45 a + 61\bigr] \)
|
| 176.2-a3
| \( \bigl[a^{3} - 4 a\) , \( a^{2} - a - 2\) , \( a^{2} - a - 2\) , \( 80 a^{3} - 8 a^{2} - 339 a - 217\) , \( 183 a^{3} - 23 a^{2} - 775 a - 488\bigr] \)
|
| 176.2-a4
| \( \bigl[a^{3} - 3 a\) , \( -a^{3} + a^{2} + 2 a - 2\) , \( a^{3} - 4 a\) , \( 8 a^{3} - 20 a^{2} - 13 a - 2\) , \( 38 a^{3} - 107 a^{2} - 31 a + 38\bigr] \)
|
| 176.2-a5
| \( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( -a^{3} + 4 a\) , \( a\) , \( -427 a^{3} + 669 a^{2} + 1269 a - 1105\) , \( -6726 a^{3} + 11314 a^{2} + 19224 a - 19883\bigr] \)
|
| 176.2-a6
| \( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a - 1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 2 & 4 & 4 & 2 \\
2 & 1 & 4 & 8 & 8 & 4 \\
2 & 4 & 1 & 2 & 2 & 4 \\
4 & 8 & 2 & 1 & 4 & 8 \\
4 & 8 & 2 & 4 & 1 & 8 \\
2 & 4 & 4 & 8 & 8 & 1
\end{array}\right)\)
