Elliptic curves in class 32.5-a over 3.3.316.1
Isogeny class 32.5-a contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
32.5-a1
| \( \bigl[a^{2} - 3\) , \( a^{2} + a - 3\) , \( a + 1\) , \( 11637 a^{2} - 6160 a - 49447\) , \( 996638 a^{2} - 527538 a - 4234857\bigr] \)
|
32.5-a2
| \( \bigl[a^{2} - 3\) , \( -a^{2} + a + 3\) , \( a + 1\) , \( -5 a^{2} + 18\) , \( -3 a^{2} + 2 a + 13\bigr] \)
|
32.5-a3
| \( \bigl[a + 1\) , \( -a\) , \( a^{2} + a - 2\) , \( 623 a^{2} - 451 a - 2866\) , \( -13706 a^{2} + 8249 a + 60042\bigr] \)
|
32.5-a4
| \( \bigl[a + 1\) , \( -a\) , \( a^{2} + a - 2\) , \( 68 a^{2} - 46 a - 306\) , \( 141 a^{2} - 62 a - 576\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)