Elliptic curves in class 32.2-g over 5.5.81589.1
Isogeny class 32.2-g contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 32.2-g1
| \( \bigl[a^{2} + a - 2\) , \( -a^{4} + a^{3} + 5 a^{2} - 2 a - 3\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -29 a^{4} - 30 a^{3} + 105 a^{2} + 38 a - 134\) , \( -90 a^{4} - 90 a^{3} + 344 a^{2} + 106 a - 479\bigr] \)
|
| 32.2-g2
| \( \bigl[a^{2} + a - 2\) , \( -a^{4} + a^{3} + 5 a^{2} - 2 a - 3\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -14 a^{4} - 25 a^{3} + 30 a^{2} + 43 a - 14\) , \( 46 a^{4} + 94 a^{3} - 83 a^{2} - 169 a + 21\bigr] \)
|
| 32.2-g3
| \( \bigl[a^{4} - 4 a^{2} + a + 2\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 3 a^{2} + a + 1\) , \( 6 a^{4} - 11 a^{3} - 24 a^{2} + 37 a + 1\) , \( 35 a^{4} - 57 a^{3} - 126 a^{2} + 203 a - 27\bigr] \)
|
| 32.2-g4
| \( \bigl[a^{2} - 1\) , \( -a^{3} - a^{2} + 3 a + 3\) , \( 0\) , \( -47 a^{4} + 3 a^{3} + 259 a^{2} + 8 a - 328\) , \( 247 a^{4} + 26 a^{3} - 1427 a^{2} - 174 a + 1830\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)
