Isogeny class 16.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 16.1-a1
| \( \bigl[-\frac{1}{9} a^{3} + \frac{2}{3} a^{2} + \frac{5}{9} a - \frac{32}{9}\) , \( -\frac{1}{3} a^{3} + \frac{14}{3} a + \frac{1}{3}\) , \( -\frac{1}{9} a^{3} + \frac{2}{3} a^{2} + \frac{5}{9} a - \frac{32}{9}\) , \( -\frac{35}{9} a^{3} + \frac{46}{3} a^{2} - \frac{5}{9} a - \frac{22}{9}\) , \( \frac{352}{9} a^{3} - \frac{593}{3} a^{2} + \frac{1444}{9} a + \frac{230}{9}\bigr] \)
|
| 16.1-a2
| \( \bigl[-\frac{1}{9} a^{3} + \frac{2}{3} a^{2} + \frac{5}{9} a - \frac{32}{9}\) , \( -\frac{1}{3} a^{3} + \frac{14}{3} a + \frac{1}{3}\) , \( -\frac{1}{9} a^{3} + \frac{2}{3} a^{2} + \frac{5}{9} a - \frac{32}{9}\) , \( \frac{1145}{9} a^{3} - \frac{2044}{3} a^{2} + \frac{5435}{9} a + \frac{208}{9}\) , \( \frac{49342}{9} a^{3} - \frac{82655}{3} a^{2} + \frac{192706}{9} a + \frac{30872}{9}\bigr] \)
|
| 16.1-a3
| \( \bigl[\frac{1}{9} a^{3} + \frac{1}{3} a^{2} - \frac{14}{9} a - \frac{22}{9}\) , \( \frac{1}{3} a^{3} - a^{2} - \frac{11}{3} a + \frac{14}{3}\) , \( \frac{1}{9} a^{3} + \frac{1}{3} a^{2} - \frac{14}{9} a - \frac{22}{9}\) , \( -\frac{1145}{9} a^{3} - \frac{899}{3} a^{2} + \frac{3394}{9} a + \frac{656}{9}\) , \( -\frac{49342}{9} a^{3} - \frac{33313}{3} a^{2} + \frac{155198}{9} a + \frac{24955}{9}\bigr] \)
|
| 16.1-a4
| \( \bigl[\frac{1}{9} a^{3} + \frac{1}{3} a^{2} - \frac{14}{9} a - \frac{22}{9}\) , \( \frac{1}{3} a^{3} - a^{2} - \frac{11}{3} a + \frac{14}{3}\) , \( \frac{1}{9} a^{3} + \frac{1}{3} a^{2} - \frac{14}{9} a - \frac{22}{9}\) , \( \frac{35}{9} a^{3} + \frac{11}{3} a^{2} - \frac{166}{9} a + \frac{76}{9}\) , \( -\frac{352}{9} a^{3} - \frac{241}{3} a^{2} + \frac{1058}{9} a + \frac{247}{9}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
