Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 25.3-a over 4.4.4400.1
Isogeny class 25.3-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 25.3-a1
| \( \bigl[a^{3} + a^{2} - 3 a - 4\) , \( a^{3} + a^{2} - 4 a - 5\) , \( a^{2} + a - 4\) , \( -5 a^{3} - 15 a^{2} + 6 a + 30\) , \( -27 a^{3} - 136 a^{2} + 31 a + 426\bigr] \)
|
| 25.3-a2
| \( \bigl[a^{3} + a^{2} - 3 a - 4\) , \( -a^{3} + a^{2} + 3 a - 5\) , \( a^{2} + a - 4\) , \( 4 a^{3} - 15 a^{2} - 3 a + 30\) , \( 26 a^{3} - 136 a^{2} - 27 a + 426\bigr] \)
|
| 25.3-a3
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a^{2} + a - 4\) , \( a^{3} - 7 a^{2} - 7 a + 29\) , \( -4 a^{2} - 3 a + 12\bigr] \)
|
| 25.3-a4
| \( \bigl[a^{3} - 4 a + 1\) , \( a^{3} + a^{2} - 3 a - 3\) , \( a^{3} + a^{2} - 3 a - 3\) , \( 2 a^{3} - 6 a + 1\) , \( a^{3} - 3 a\bigr] \)
|
