Isogeny class 576.1-e contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 576.1-e1
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} - \frac{3}{7} a^{2} - \frac{19}{7} a + \frac{10}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( -\frac{46}{7} a^{3} + \frac{69}{7} a^{2} + \frac{437}{7} a - \frac{538}{7}\) , \( \frac{136}{7} a^{3} - \frac{204}{7} a^{2} - \frac{1292}{7} a + \frac{1492}{7}\bigr] \)
|
| 576.1-e2
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( 0\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{110}{7} a^{3} - \frac{165}{7} a^{2} - \frac{1045}{7} a - \frac{248}{7}\) , \( \frac{922}{7} a^{3} - \frac{1383}{7} a^{2} - \frac{8759}{7} a - \frac{1200}{7}\bigr] \)
|
| 576.1-e3
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{1}{7} a^{3} - \frac{5}{7} a^{2} - \frac{6}{7} a + \frac{26}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} + \frac{5373}{7} a^{2} - \frac{5395}{7} a - \frac{42340}{7}\) , \( \frac{1}{7} a^{3} - \frac{152808}{7} a^{2} + \frac{152797}{7} a + \frac{1203046}{7}\bigr] \)
|
| 576.1-e4
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} - \frac{3}{7} a^{2} - \frac{19}{7} a + \frac{10}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( -\frac{106}{7} a^{3} + \frac{159}{7} a^{2} + \frac{1007}{7} a - \frac{1328}{7}\) , \( -\frac{920}{7} a^{3} + \frac{1380}{7} a^{2} + \frac{8740}{7} a - \frac{10410}{7}\bigr] \)
|
| 576.1-e5
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{1}{7} a^{3} - \frac{5}{7} a^{2} - \frac{6}{7} a + \frac{26}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} - \frac{227}{7} a^{2} + \frac{205}{7} a + \frac{1760}{7}\) , \( \frac{1}{7} a^{3} - \frac{9924}{7} a^{2} + \frac{9913}{7} a + \frac{78118}{7}\bigr] \)
|
| 576.1-e6
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{1}{7} a^{3} - \frac{5}{7} a^{2} - \frac{6}{7} a + \frac{26}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} + \frac{893}{7} a^{2} - \frac{915}{7} a - \frac{7060}{7}\) , \( \frac{1}{7} a^{3} + \frac{12126}{7} a^{2} - \frac{12137}{7} a - \frac{95482}{7}\bigr] \)
|
| 576.1-e7
| \( \bigl[-\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{1}{7} a^{3} - \frac{5}{7} a^{2} - \frac{6}{7} a + \frac{26}{7}\) , \( -\frac{2}{7} a^{3} + \frac{3}{7} a^{2} + \frac{19}{7} a - \frac{3}{7}\) , \( \frac{2}{7} a^{3} + \frac{53}{7} a^{2} - \frac{75}{7} a - \frac{445}{7}\) , \( \frac{1}{7} a^{3} + \frac{219}{7} a^{2} - \frac{230}{7} a - \frac{1738}{7}\bigr] \)
|
| 576.1-e8
| \( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
|
Rank: \( 2 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 2 & 8 & 2 & 4 & 2 & 4 \\
8 & 1 & 16 & 4 & 16 & 2 & 4 & 8 \\
2 & 16 & 1 & 16 & 4 & 8 & 4 & 8 \\
8 & 4 & 16 & 1 & 16 & 2 & 4 & 8 \\
2 & 16 & 4 & 16 & 1 & 8 & 4 & 8 \\
4 & 2 & 8 & 2 & 8 & 1 & 2 & 4 \\
2 & 4 & 4 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)
