Elliptic curves in class 6.1-a over 4.4.16609.1
Isogeny class 6.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
6.1-a1
| \( \bigl[a^{3} - 4 a\) , \( -a^{2} + 5\) , \( 1\) , \( 2137 a^{3} + 2522 a^{2} - 11978 a - 16275\) , \( -121578 a^{3} - 143596 a^{2} + 681447 a + 926435\bigr] \)
|
6.1-a2
| \( \bigl[a^{3} - 4 a\) , \( -a^{2} + 5\) , \( 1\) , \( 147 a^{3} + 172 a^{2} - 823 a - 1110\) , \( -1242 a^{3} - 1468 a^{2} + 6962 a + 9470\bigr] \)
|
6.1-a3
| \( \bigl[a\) , \( a - 1\) , \( 1\) , \( -a\) , \( -a^{2} - a + 2\bigr] \)
|
6.1-a4
| \( \bigl[a^{3} - a^{2} - 3 a + 4\) , \( a^{2} - a - 5\) , \( a^{2} + a - 4\) , \( 10 a^{3} - 20 a^{2} - 21 a + 44\) , \( 62 a^{3} - 131 a^{2} - 153 a + 257\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)