Elliptic curves in class 16.1-b over 4.4.14272.1
Isogeny class 16.1-b contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 16.1-b1
| \( \bigl[0\) , \( -a^{2} + 3 a + 3\) , \( 0\) , \( -2 a^{3} + 2 a^{2} + 6 a + 2\) , \( -2 a^{3} - 2 a^{2} + 4 a + 3\bigr] \)
|
| 16.1-b2
| \( \bigl[a^{3} - 2 a^{2} - 4 a + 1\) , \( a^{3} - 3 a^{2} - 2 a + 2\) , \( 0\) , \( 10 a^{3} - 11 a^{2} - 62 a - 32\) , \( -27 a^{3} + 29 a^{2} + 163 a + 93\bigr] \)
|
| 16.1-b3
| \( \bigl[2 a^{3} - 5 a^{2} - 5 a + 5\) , \( -2 a^{3} + 5 a^{2} + 7 a - 4\) , \( a^{3} - 3 a^{2} - a + 4\) , \( -3 a^{3} + 8 a^{2} + 13 a - 3\) , \( -17 a^{3} + 56 a^{2} + 7 a - 32\bigr] \)
|
| 16.1-b4
| \( \bigl[2 a^{3} - 5 a^{2} - 5 a + 5\) , \( -a^{3} + 2 a^{2} + 3 a - 1\) , \( 2 a^{3} - 5 a^{2} - 5 a + 5\) , \( -2 a^{3} + 2 a^{2} + 6 a + 2\) , \( a^{3} - a^{2} - 6 a\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 2 & 2 \\
2 & 1 & 4 & 4 \\
2 & 4 & 1 & 4 \\
2 & 4 & 4 & 1
\end{array}\right)\)
