Elliptic curves in class 20.1-a over 4.4.12400.1
Isogeny class 20.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 20.1-a1
| \( \bigl[\frac{1}{2} a^{3} - \frac{7}{2} a\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + \frac{9}{2} a + \frac{9}{2}\) , \( \frac{1}{2} a^{3} - \frac{7}{2} a\) , \( -\frac{25}{2} a^{3} - 31 a^{2} + \frac{213}{2} a + 227\) , \( -100 a^{3} - \frac{385}{2} a^{2} + 824 a + \frac{3181}{2}\bigr] \)
|
| 20.1-a2
| \( \bigl[\frac{1}{2} a^{3} - \frac{5}{2} a + 1\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{7}{2}\) , \( 0\) , \( 57 a^{3} - \frac{143}{2} a^{2} - 287 a + \frac{247}{2}\) , \( -597 a^{3} + \frac{2261}{2} a^{2} + 2805 a - \frac{6329}{2}\bigr] \)
|
| 20.1-a3
| \( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{7}{2} a - \frac{5}{2}\) , \( -\frac{1}{2} a^{2} + a + \frac{9}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{5}{2}\) , \( \frac{611}{2} a^{3} - 695 a^{2} - \frac{2631}{2} a + 2280\) , \( -8588 a^{3} + \frac{46545}{2} a^{2} + 33599 a - \frac{170223}{2}\bigr] \)
|
| 20.1-a4
| \( \bigl[\frac{1}{2} a^{3} - \frac{7}{2} a\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + \frac{9}{2} a + \frac{9}{2}\) , \( \frac{1}{2} a^{3} - \frac{7}{2} a\) , \( \frac{135}{2} a^{3} + 49 a^{2} - \frac{1067}{2} a - 733\) , \( -172 a^{3} - \frac{1681}{2} a^{2} + 2192 a + \frac{12317}{2}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
