Isogeny class 29.2-e contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 29.2-e1
| \( \bigl[\frac{1}{4} a^{3} + \frac{1}{2} a^{2} - \frac{9}{4} a - \frac{5}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( \frac{1}{4} a^{3} - \frac{7}{4} a + \frac{1}{2}\) , \( -\frac{7}{2} a^{2} - \frac{15}{2} a + 3\) , \( -\frac{99}{2} a^{3} - 145 a^{2} + \frac{51}{2} a + 67\bigr] \)
|
| 29.2-e2
| \( \bigl[-\frac{1}{4} a^{3} + \frac{11}{4} a + \frac{1}{2}\) , \( -\frac{1}{4} a^{3} - \frac{1}{2} a^{2} + \frac{9}{4} a + \frac{5}{2}\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( \frac{5}{4} a^{3} + a^{2} - \frac{47}{4} a - \frac{21}{2}\) , \( -\frac{93}{4} a^{3} - 16 a^{2} + \frac{791}{4} a + \frac{269}{2}\bigr] \)
|
| 29.2-e3
| \( \bigl[\frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( 0\) , \( a + 1\) , \( -\frac{1}{2} a^{3} - 2 a^{2} - \frac{1}{2} a + 1\) , \( -\frac{7}{4} a^{3} - \frac{11}{2} a^{2} + \frac{3}{4} a + \frac{5}{2}\bigr] \)
|
| 29.2-e4
| \( \bigl[\frac{1}{4} a^{3} - \frac{7}{4} a - \frac{1}{2}\) , \( \frac{1}{2} a^{3} - \frac{9}{2} a - 2\) , \( \frac{1}{4} a^{3} + \frac{1}{2} a^{2} - \frac{9}{4} a - \frac{3}{2}\) , \( -\frac{9}{4} a^{3} + \frac{3}{2} a^{2} + \frac{77}{4} a - \frac{23}{2}\) , \( -\frac{9}{2} a^{3} + 3 a^{2} + \frac{77}{2} a - 28\bigr] \)
|
| 29.2-e5
| \( \bigl[\frac{1}{4} a^{3} - \frac{7}{4} a - \frac{1}{2}\) , \( \frac{1}{2} a^{3} - \frac{9}{2} a - 2\) , \( \frac{1}{4} a^{3} + \frac{1}{2} a^{2} - \frac{9}{4} a - \frac{3}{2}\) , \( \frac{3}{2} a^{3} + \frac{3}{2} a^{2} - 12 a - 14\) , \( -\frac{17}{2} a^{3} + 8 a^{2} + \frac{143}{2} a - 67\bigr] \)
|
| 29.2-e6
| \( \bigl[\frac{1}{2} a^{2} - \frac{1}{2} a - 2\) , \( \frac{1}{2} a^{2} - \frac{3}{2} a - 3\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - 1\) , \( -\frac{1}{2} a^{3} + 4 a^{2} + \frac{23}{2} a + 6\) , \( \frac{3}{4} a^{3} + 2 a^{2} - \frac{45}{4} a - \frac{17}{2}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 4 & 2 & 4 & 8 & 8 \\
4 & 1 & 2 & 4 & 8 & 8 \\
2 & 2 & 1 & 2 & 4 & 4 \\
4 & 4 & 2 & 1 & 2 & 2 \\
8 & 8 & 4 & 2 & 1 & 4 \\
8 & 8 & 4 & 2 & 4 & 1
\end{array}\right)\)
