Elliptic curves in class 32.4-a over 3.3.316.1
Isogeny class 32.4-a contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
32.4-a1
| \( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( 0\) , \( 2856 a^{2} - 1512 a - 12136\) , \( 109938 a^{2} - 58192 a - 467142\bigr] \)
|
32.4-a2
| \( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( 0\) , \( 616 a^{2} - 317 a - 2601\) , \( -10508 a^{2} + 5572 a + 44668\bigr] \)
|
32.4-a3
| \( \bigl[a^{2} + a - 2\) , \( -a - 1\) , \( a^{2} + a - 2\) , \( -15 a^{2} - 20 a + 13\) , \( 111 a^{2} + 149 a - 95\bigr] \)
|
32.4-a4
| \( \bigl[0\) , \( -a^{2} - a + 2\) , \( 0\) , \( 190001 a^{2} - 100568 a - 807336\) , \( -65837291 a^{2} + 34848768 a + 279751899\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)