Elliptic curves in class 16.1-g over 4.4.13824.1
Isogeny class 16.1-g contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 16.1-g1
| \( \bigl[a^{3} + a^{2} - 4 a - 2\) , \( a^{2} - a - 4\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -14 a^{3} + 2 a^{2} + 49 a - 43\) , \( -45 a^{3} + a^{2} + 160 a - 119\bigr] \)
|
| 16.1-g2
| \( \bigl[a^{3} + a^{2} - 4 a - 2\) , \( -a^{2} - a + 2\) , \( a^{3} - 3 a\) , \( 13 a^{3} + a^{2} - 50 a - 38\) , \( -31 a^{3} - a^{2} + 110 a + 81\bigr] \)
|
| 16.1-g3
| \( \bigl[a^{3} - 4 a\) , \( a^{2} - 3\) , \( a^{3} + a^{2} - 4 a - 2\) , \( -24 a^{3} + 55 a^{2} + 28 a - 76\) , \( -388 a^{3} + 845 a^{2} + 490 a - 1075\bigr] \)
|
| 16.1-g4
| \( \bigl[a^{3} - 4 a\) , \( 0\) , \( a^{2} - 2\) , \( 24 a^{3} + 53 a^{2} - 30 a - 67\) , \( -364 a^{3} - 792 a^{2} + 462 a + 1004\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
