Isogeny class 16.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 16.1-a1
| \( \bigl[-\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{80}{23}\) , \( \frac{5}{23} a^{3} + \frac{4}{23} a^{2} - \frac{96}{23} a - \frac{60}{23}\) , \( 0\) , \( -\frac{62}{23} a^{3} - \frac{45}{23} a^{2} + \frac{91}{23} a + \frac{123}{23}\) , \( \frac{312}{23} a^{3} + \frac{889}{23} a^{2} - \frac{1924}{23} a - \frac{2571}{23}\bigr] \)
|
| 16.1-a2
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{3}{23} a^{3} - \frac{7}{23} a^{2} + \frac{76}{23} a + \frac{36}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{5}{23} a^{3} + \frac{19}{23} a^{2} + \frac{4}{23} a - \frac{78}{23}\) , \( \frac{30}{23} a^{3} - \frac{22}{23} a^{2} - \frac{392}{23} a - \frac{291}{23}\bigr] \)
|
| 16.1-a3
| \( \bigl[-\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{80}{23}\) , \( \frac{5}{23} a^{3} + \frac{4}{23} a^{2} - \frac{96}{23} a - \frac{60}{23}\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( -\frac{164}{23} a^{3} + \frac{476}{23} a^{2} + \frac{1847}{23} a - \frac{3874}{23}\) , \( \frac{715}{23} a^{3} - \frac{2211}{23} a^{2} - \frac{8093}{23} a + \frac{19204}{23}\bigr] \)
|
| 16.1-a4
| \( \bigl[-\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{80}{23}\) , \( \frac{5}{23} a^{3} + \frac{4}{23} a^{2} - \frac{96}{23} a - \frac{60}{23}\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( -\frac{39}{23} a^{3} + \frac{116}{23} a^{2} + \frac{252}{23} a - \frac{199}{23}\) , \( -\frac{10}{23} a^{3} + \frac{107}{23} a^{2} - \frac{245}{23} a - \frac{202}{23}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 3 & 6 \\
2 & 1 & 6 & 3 \\
3 & 6 & 1 & 2 \\
6 & 3 & 2 & 1
\end{array}\right)\)
