Isogeny class 16.1-b contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 16.1-b1
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{5}{23} a^{3} - \frac{4}{23} a^{2} + \frac{96}{23} a + \frac{37}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{80}{23}\) , \( \frac{28}{23} a^{3} - \frac{249}{23} a^{2} + \frac{502}{23} a + \frac{193}{23}\) , \( -\frac{514}{23} a^{3} + \frac{2473}{23} a^{2} + \frac{195}{23} a - \frac{5953}{23}\bigr] \)
|
| 16.1-b2
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{5}{23} a^{3} - \frac{4}{23} a^{2} + \frac{96}{23} a + \frac{37}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{80}{23}\) , \( -\frac{7}{23} a^{3} - \frac{24}{23} a^{2} + \frac{162}{23} a + \frac{268}{23}\) , \( -\frac{17}{23} a^{3} + \frac{37}{23} a^{2} + \frac{124}{23} a + \frac{112}{23}\bigr] \)
|
| 16.1-b3
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{5}{23} a^{3} - \frac{4}{23} a^{2} + \frac{96}{23} a + \frac{37}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{10}{23} a^{3} + \frac{15}{23} a^{2} + \frac{100}{23} a - \frac{41}{23}\) , \( -\frac{1}{23} a^{3} - \frac{10}{23} a^{2} + \frac{33}{23} a + \frac{35}{23}\bigr] \)
|
| 16.1-b4
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( -\frac{5}{23} a^{3} - \frac{4}{23} a^{2} + \frac{96}{23} a + \frac{37}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{125}{23}\) , \( 5 a^{3} - 80 a - 82\) , \( -\frac{476}{23} a^{3} - \frac{68}{23} a^{2} + \frac{6922}{23} a + \frac{6655}{23}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 6 & 3 \\
2 & 1 & 3 & 6 \\
6 & 3 & 1 & 2 \\
3 & 6 & 2 & 1
\end{array}\right)\)
