Isogeny class 49.2-b contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 49.2-b1
| \( \bigl[a^{2} - 1\) , \( -a^{3} - a^{2} + 5 a + 1\) , \( a\) , \( -a^{3} + a + 1\) , \( -a^{3} - a^{2} + 4 a + 2\bigr] \)
|
| 49.2-b2
| \( \bigl[a^{3} - 4 a + 1\) , \( -a^{3} - a^{2} + 3 a + 2\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 4 a^{3} + a^{2} - 14 a - 3\) , \( -a^{2} - a + 2\bigr] \)
|
| 49.2-b3
| \( \bigl[a + 1\) , \( -a^{3} + a^{2} + 3 a - 2\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 26 a^{3} - 72 a^{2} - 27 a + 3\) , \( 236 a^{3} - 604 a^{2} - 124 a + 128\bigr] \)
|
| 49.2-b4
| \( \bigl[a^{2} - 1\) , \( a^{3} - 5 a - 1\) , \( a^{3} - 4 a\) , \( -181 a^{3} + 80 a^{2} + 704 a - 359\) , \( -1931 a^{3} + 907 a^{2} + 7432 a - 3824\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
