Elliptic curves in class 68.2-a over 4.4.2624.1
Isogeny class 68.2-a contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 68.2-a1
| \( \bigl[a^{2} - a\) , \( a^{3} - 2 a^{2} - a + 2\) , \( 1\) , \( -377 a^{3} + 547 a^{2} + 1598 a - 1903\) , \( -8653 a^{3} + 12913 a^{2} + 35114 a - 36126\bigr] \)
|
| 68.2-a2
| \( \bigl[a^{2} - a\) , \( a^{3} - 2 a^{2} - a + 2\) , \( 1\) , \( -77 a^{3} + 7 a^{2} + 138 a - 103\) , \( -1085 a^{3} - 615 a^{2} + 1458 a - 254\bigr] \)
|
| 68.2-a3
| \( \bigl[a^{2} - a\) , \( a^{3} - 2 a^{2} - a + 2\) , \( 1\) , \( 3 a^{3} - 3 a^{2} - 2 a + 2\) , \( a^{3} + 4 a^{2} - 3 a - 1\bigr] \)
|
| 68.2-a4
| \( \bigl[a^{2} - a\) , \( a^{3} - 2 a^{2} - a + 2\) , \( 1\) , \( 13 a^{3} - 38 a^{2} + 13 a + 7\) , \( -45 a^{3} + 148 a^{2} - 41 a - 41\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
