Elliptic curves in class 25.2-f over 4.4.16357.1
Isogeny class 25.2-f contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 25.2-f1
| \( \bigl[a^{3} + a^{2} - 6 a - 3\) , \( a^{3} - a^{2} - 6 a + 2\) , \( a^{2} + a - 3\) , \( -536 a^{3} + 263 a^{2} + 3111 a - 1068\) , \( 9807 a^{3} - 5106 a^{2} - 56036 a + 18963\bigr] \)
|
| 25.2-f2
| \( \bigl[a^{3} + a^{2} - 6 a - 3\) , \( a^{3} - a^{2} - 6 a + 2\) , \( a^{2} + a - 3\) , \( -26 a^{3} - 2 a^{2} + 186 a - 58\) , \( 155 a^{3} - 159 a^{2} - 669 a + 239\bigr] \)
|
| 25.2-f3
| \( \bigl[a^{3} + a^{2} - 6 a - 3\) , \( a^{3} - a^{2} - 6 a + 2\) , \( a^{2} + a - 3\) , \( 84 a^{3} - 267 a^{2} + 141 a - 8\) , \( 2643 a^{3} - 5996 a^{2} - 2030 a + 1279\bigr] \)
|
| 25.2-f4
| \( \bigl[a^{3} + a^{2} - 6 a - 3\) , \( a^{3} - a^{2} - 6 a + 2\) , \( a^{2} + a - 3\) , \( -a^{3} - 2 a^{2} + 6 a + 2\) , \( -3 a^{2} + 3 a + 3\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
