Elliptic curves in class 39.2-f over 4.4.4752.1
Isogeny class 39.2-f contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 39.2-f1
| \( \bigl[a^{2} - a - 2\) , \( a^{3} - 2 a^{2} - 3 a + 2\) , \( a^{2} - 1\) , \( 1384 a^{3} - 4840 a^{2} + 3088 a + 896\) , \( 40164 a^{3} - 140408 a^{2} + 89509 a + 26905\bigr] \)
|
| 39.2-f2
| \( \bigl[a^{3} - 4 a\) , \( -a^{2} + 3\) , \( a^{2} - 1\) , \( -a^{3} + 3 a^{2} - 22 a - 64\) , \( 22 a^{3} + 65 a^{2} - 89 a - 261\bigr] \)
|
| 39.2-f3
| \( \bigl[a^{3} - 4 a\) , \( -a^{2} + 3\) , \( a^{2} - 1\) , \( -a^{3} - 7 a^{2} - 17 a - 14\) , \( 4 a^{3} + 20 a^{2} + 28 a + 9\bigr] \)
|
| 39.2-f4
| \( \bigl[a^{3} - 4 a\) , \( -a^{2} + 3\) , \( a^{2} - 1\) , \( -a^{3} - 2 a^{2} + 3 a + 6\) , \( -a^{3} - a^{2} + 4 a + 5\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
