Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 5 & 10 \\
2 & 1 & 10 & 5 \\
5 & 10 & 1 & 2 \\
10 & 5 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 25.2-d over 4.4.4205.1
Isogeny class 25.2-d contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 25.2-d1
| \( \bigl[a^{2} - a - 2\) , \( -a^{3} + a^{2} + 6 a + 1\) , \( 0\) , \( 30 a^{3} - 79 a^{2} - 151 a - 56\) , \( -44 a^{3} - 121 a^{2} - 736 a - 437\bigr] \)
|
| 25.2-d2
| \( \bigl[a^{2} - a - 2\) , \( -a^{3} + a^{2} + 6 a + 1\) , \( 0\) , \( -10 a^{3} - 24 a^{2} - 6 a + 4\) , \( -116 a^{3} - 216 a^{2} - 44 a + 31\bigr] \)
|
| 25.2-d3
| \( \bigl[a^{3} - a^{2} - 5 a - 1\) , \( a - 1\) , \( a^{2} - 2 a - 1\) , \( -14 a^{3} + 18 a^{2} + 78 a - 35\) , \( -99 a^{3} + 192 a^{2} + 308 a - 127\bigr] \)
|
| 25.2-d4
| \( \bigl[a^{3} - a^{2} - 5 a - 1\) , \( a - 1\) , \( a^{2} - 2 a - 1\) , \( a^{3} - 2 a^{2} - 2 a - 5\) , \( -a^{2} + 3 a\bigr] \)
|
