Elliptic curves in class 89.2-a over 4.4.725.1
Isogeny class 89.2-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 89.2-a1
| \( \bigl[a^{3} - 2 a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 1072 a^{3} - 335 a^{2} - 3329 a - 1409\) , \( 24371 a^{3} - 6724 a^{2} - 77278 a - 32742\bigr] \)
|
| 89.2-a2
| \( \bigl[a^{3} - 2 a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 62 a^{3} - 10 a^{2} - 199 a - 99\) , \( 369 a^{3} - 90 a^{2} - 1170 a - 539\bigr] \)
|
| 89.2-a3
| \( \bigl[a^{3} - 2 a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 17 a^{3} - 10 a^{2} - 44 a - 14\) , \( 31 a^{3} - 3 a^{2} - 106 a - 46\bigr] \)
|
| 89.2-a4
| \( \bigl[a^{3} - 2 a\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 2 a^{3} - 4 a + 1\) , \( 2 a^{3} + a^{2} - 5 a - 2\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
