Isogeny class 20.1-d contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 20.1-d1
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( -\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 3\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + 6 a + 4\) , \( -\frac{3}{8} a^{3} + \frac{19}{8} a + \frac{1}{2}\bigr] \)
|
| 20.1-d2
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( \frac{1}{8} a^{3} - \frac{1}{2} a^{2} - \frac{5}{8} a + \frac{3}{2}\) , \( a\) , \( \frac{17}{8} a^{3} - 14 a^{2} - \frac{25}{8} a + \frac{39}{2}\) , \( 12 a^{3} - \frac{45}{2} a^{2} - \frac{33}{2} a + 31\bigr] \)
|
| 20.1-d3
| \( \bigl[1\) , \( \frac{1}{8} a^{3} - \frac{17}{8} a + \frac{1}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 3\) , \( -\frac{45}{8} a^{3} - 22 a^{2} + \frac{53}{8} a + \frac{67}{2}\) , \( -\frac{233}{8} a^{3} - 97 a^{2} + \frac{321}{8} a + \frac{265}{2}\bigr] \)
|
| 20.1-d4
| \( \bigl[\frac{1}{8} a^{3} - \frac{9}{8} a + \frac{1}{2}\) , \( -\frac{1}{4} a^{3} + \frac{13}{4} a\) , \( a\) , \( -\frac{9}{8} a^{3} - 5 a^{2} - \frac{15}{8} a + \frac{13}{2}\) , \( \frac{21}{8} a^{3} + 9 a^{2} - \frac{21}{8} a - \frac{25}{2}\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 6 & 2 & 3 \\
6 & 1 & 3 & 2 \\
2 & 3 & 1 & 6 \\
3 & 2 & 6 & 1
\end{array}\right)\)
