Elliptic curves in class 39.2-a over 4.4.4752.1
Isogeny class 39.2-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 39.2-a1
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a - 1\) , \( a^{2} - 2\) , \( 3 a^{2} - 26 a - 67\) , \( -23 a^{3} - 61 a^{2} + 66 a + 193\bigr] \)
|
| 39.2-a2
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a - 1\) , \( a^{2} - 2\) , \( -7 a^{2} - 21 a - 17\) , \( -5 a^{3} - 26 a^{2} - 46 a - 27\bigr] \)
|
| 39.2-a3
| \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a - 1\) , \( a^{2} - 2\) , \( -2 a^{2} - a + 3\) , \( -2 a - 3\bigr] \)
|
| 39.2-a4
| \( \bigl[1\) , \( -a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{3} - 3 a - 1\) , \( 1384 a^{3} - 4840 a^{2} + 3088 a + 897\) , \( -40165 a^{3} + 140407 a^{2} - 89508 a - 26905\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
