Elliptic curves in class 8.1-a over 3.3.940.1
Isogeny class 8.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 8.1-a1
| \( \bigl[a^{2} - 5\) , \( -a^{2} + 2 a + 4\) , \( a^{2} - 5\) , \( 513 a^{2} - 316 a - 3409\) , \( -9574 a^{2} + 5824 a + 63656\bigr] \)
|
| 8.1-a2
| \( \bigl[a + 1\) , \( -1\) , \( a^{2} - a - 4\) , \( 6039 a^{2} - 3631 a - 40105\) , \( -283676 a^{2} + 170947 a + 1882761\bigr] \)
|
| 8.1-a3
| \( \bigl[a + 1\) , \( -1\) , \( a^{2} - a - 4\) , \( 5419 a^{2} - 3266 a - 35965\) , \( -374961 a^{2} + 225991 a + 2488521\bigr] \)
|
| 8.1-a4
| \( \bigl[a + 1\) , \( -a\) , \( a^{2} - 5\) , \( 1221 a^{2} - 674 a - 8289\) , \( -61314 a^{2} + 36140 a + 409280\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
