Elliptic curves in class 25.1-a over 3.3.1620.1
Isogeny class 25.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.1-a1
| \( \bigl[a^{2} - a - 8\) , \( a^{2} - a - 8\) , \( a + 1\) , \( 3847 a^{2} - 5350 a - 38718\) , \( -33008 a^{2} + 45912 a + 332240\bigr] \)
|
| 25.1-a2
| \( \bigl[0\) , \( a^{2} - 2 a - 9\) , \( 1\) , \( 527694250 a^{2} - 733973258 a - 5311442969\) , \( -11070357693729 a^{2} + 15397830281951 a + 111427353147970\bigr] \)
|
| 25.1-a3
| \( \bigl[0\) , \( a^{2} - a - 8\) , \( a^{2} - a - 7\) , \( 2053627 a^{2} - 2856402 a - 20670534\) , \( 2802623882 a^{2} - 3898187220 a - 28209473416\bigr] \)
|
| 25.1-a4
| \( \bigl[a\) , \( -a^{2} + 2 a + 8\) , \( 1\) , \( 9865930 a^{2} - 13722584 a - 99304328\) , \( -29677913145 a^{2} + 41279196425 a + 298719463291\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 2 & 3 \\
6 & 1 & 3 & 2 \\
2 & 3 & 1 & 6 \\
3 & 2 & 6 & 1
\end{array}\right)\)
