Elliptic curves in class 9.2-a over 4.4.12400.1
Isogeny class 9.2-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 9.2-a1
| \( \bigl[\frac{1}{2} a^{2} - \frac{5}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{9}{2}\) , \( a\) , \( 18 a^{3} + 35 a^{2} - 148 a - 289\) , \( 102 a^{3} + \frac{403}{2} a^{2} - 846 a - \frac{3309}{2}\bigr] \)
|
| 9.2-a2
| \( \bigl[\frac{1}{2} a^{2} - \frac{5}{2}\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - \frac{9}{2}\) , \( a\) , \( \frac{1}{2} a^{3} + \frac{5}{2} a^{2} - \frac{11}{2} a - \frac{33}{2}\) , \( \frac{1}{2} a^{3} - \frac{11}{2} a - 8\bigr] \)
|
| 9.2-a3
| \( \bigl[\frac{1}{2} a^{2} + a - \frac{7}{2}\) , \( -a\) , \( \frac{1}{2} a^{3} - \frac{5}{2} a + 1\) , \( -7 a^{3} + \frac{13}{2} a^{2} + 51 a - \frac{143}{2}\) , \( -\frac{63}{2} a^{3} + \frac{139}{2} a^{2} + \frac{535}{2} a - \frac{1101}{2}\bigr] \)
|
| 9.2-a4
| \( \bigl[\frac{1}{2} a^{2} + a - \frac{7}{2}\) , \( -a\) , \( \frac{1}{2} a^{3} - \frac{5}{2} a + 1\) , \( \frac{1}{2} a^{3} - \frac{7}{2} a^{2} - \frac{13}{2} a + \frac{47}{2}\) , \( -a^{3} + \frac{1}{2} a^{2} + 7 a - \frac{17}{2}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
