Elliptic curves in class 20.1-a over 4.4.11324.1
Isogeny class 20.1-a contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
20.1-a1
| \( \bigl[a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 5 a - 3\) , \( a^{3} - 4 a\) , \( -6 a^{3} + 15 a^{2} + 30 a - 53\) , \( 31 a^{3} - 38 a^{2} - 137 a + 164\bigr] \)
|
20.1-a2
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - a^{2} - 5 a + 2\) , \( a^{2} - 2\) , \( 10 a^{3} - 2 a^{2} - 48 a - 10\) , \( 20 a^{3} - a^{2} - 92 a - 30\bigr] \)
|
20.1-a3
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - a^{2} - 5 a + 2\) , \( a^{2} - 2\) , \( -2 a^{2} - 3 a + 5\) , \( -a^{3} - 2 a^{2} + 2 a + 2\bigr] \)
|
20.1-a4
| \( \bigl[a\) , \( a\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -4 a^{3} + 5 a^{2} + 17 a - 23\) , \( -4 a^{3} + 10 a^{2} + 14 a - 51\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)