Elliptic curves in class 16.1-a over 4.4.4913.1
Isogeny class 16.1-a contains
4 curves linked by isogenies of
degrees dividing 10.
Curve label |
Weierstrass Coefficients |
16.1-a1
| \( \bigl[\frac{1}{2} a^{3} - 3 a - \frac{3}{2}\) , \( -a^{2} + 2 a + 4\) , \( 0\) , \( -87 a^{3} + 104 a^{2} + 511 a - 250\) , \( -780 a^{3} + 1005 a^{2} + 4438 a - 2307\bigr] \)
|
16.1-a2
| \( \bigl[\frac{1}{2} a^{3} - 3 a - \frac{3}{2}\) , \( -a^{2} + 2 a + 4\) , \( 0\) , \( -\frac{9}{2} a^{3} + 4 a^{2} + 26 a + \frac{5}{2}\) , \( -2 a^{3} + a^{2} + 12 a + 6\bigr] \)
|
16.1-a3
| \( \bigl[a\) , \( -a^{2} + 3\) , \( \frac{1}{2} a^{3} - 3 a - \frac{3}{2}\) , \( \frac{113}{2} a^{3} - 11 a^{2} - 364 a - \frac{473}{2}\) , \( 551 a^{3} - 153 a^{2} - 3546 a - 1924\bigr] \)
|
16.1-a4
| \( \bigl[a\) , \( -a^{2} + 3\) , \( \frac{1}{2} a^{3} - 3 a - \frac{3}{2}\) , \( \frac{3}{2} a^{3} - a^{2} - 9 a - \frac{3}{2}\) , \( \frac{1}{2} a^{3} - a^{2} - 3 a + \frac{5}{2}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 5 & 2 & 10 \\
5 & 1 & 10 & 2 \\
2 & 10 & 1 & 5 \\
10 & 2 & 5 & 1
\end{array}\right)\)