Elliptic curves in class 25.2-b over 4.4.4205.1
Isogeny class 25.2-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.2-b1
| \( \bigl[a\) , \( a^{3} - 2 a^{2} - 3 a\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -166 a^{3} + 251 a^{2} + 628 a - 250\) , \( -1268 a^{3} + 1952 a^{2} + 4830 a - 1890\bigr] \)
|
| 25.2-b2
| \( \bigl[-a^{3} + 2 a^{2} + 4 a\) , \( -2 a^{3} + 3 a^{2} + 9 a + 1\) , \( 1\) , \( 35 a^{3} - 33 a^{2} - 152 a - 73\) , \( -81 a^{3} + 54 a^{2} + 430 a + 234\bigr] \)
|
| 25.2-b3
| \( \bigl[-a^{3} + 2 a^{2} + 4 a\) , \( -2 a^{3} + 3 a^{2} + 9 a + 1\) , \( 1\) , \( 5 a^{3} - 8 a^{2} - 7 a + 2\) , \( 12 a^{3} - 25 a^{2} - 14 a + 5\bigr] \)
|
| 25.2-b4
| \( \bigl[-a^{3} + 2 a^{2} + 4 a\) , \( -2 a^{3} + 3 a^{2} + 9 a + 1\) , \( 1\) , \( 345 a^{3} - 773 a^{2} - 617 a + 27\) , \( 5642 a^{3} - 13899 a^{2} - 7188 a + 2678\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 3 & 2 \\
6 & 1 & 2 & 3 \\
3 & 2 & 1 & 6 \\
2 & 3 & 6 & 1
\end{array}\right)\)
