Elliptic curves in class 89.1-a over 4.4.725.1
Isogeny class 89.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 89.1-a1
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( a^{2}\) , \( -10 a^{3} + 16 a^{2} + 25 a - 25\) , \( 19 a^{3} - 30 a^{2} - 38 a + 38\bigr] \)
|
| 89.1-a2
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( a^{2}\) , \( a^{2}\) , \( 0\bigr] \)
|
| 89.1-a3
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( a^{2}\) , \( -5 a^{3} - 19 a^{2} + 10 a + 5\) , \( -40 a^{3} - 95 a^{2} + 47 a + 31\bigr] \)
|
| 89.1-a4
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( a^{2}\) , \( 70 a^{3} - 189 a^{2} + 25 a + 30\) , \( 801 a^{3} - 2028 a^{2} + 111 a + 647\bigr] \)
|
Rank not yet determined.
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
