Isogeny class 51.2-a contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 51.2-a1
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( 1510 a^{2} - 544 a - 4379\) , \( 37713 a^{2} - 13154 a - 108667\bigr] \)
|
| 51.2-a2
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( 85 a^{2} - 49 a - 279\) , \( 599 a^{2} - 256 a - 1795\bigr] \)
|
| 51.2-a3
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( -140 a^{2} - 274 a - 99\) , \( -139 a^{2} - 3802 a - 5503\bigr] \)
|
| 51.2-a4
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( 10 a^{2} - 4 a - 34\) , \( -5 a^{2} + 15\bigr] \)
|
| 51.2-a5
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( 10 a^{2} - 4 a - 29\) , \( -15 a^{2} + 4 a + 41\bigr] \)
|
| 51.2-a6
| \( \bigl[a^{2} - 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 2\) , \( -65 a^{2} + 41 a + 131\) , \( -29 a^{2} - 60 a + 261\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 2 & 4 & 4 & 8 & 8 \\
2 & 1 & 2 & 2 & 4 & 4 \\
4 & 2 & 1 & 4 & 8 & 8 \\
4 & 2 & 4 & 1 & 2 & 2 \\
8 & 4 & 8 & 2 & 1 & 4 \\
8 & 4 & 8 & 2 & 4 & 1
\end{array}\right)\)
