Isogeny class 236.3-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 236.3-a1
| \( \bigl[-\frac{1}{6} a^{3} + \frac{1}{2} a^{2} + \frac{11}{6} a - 2\) , \( -\frac{1}{6} a^{3} + \frac{1}{2} a^{2} + \frac{11}{6} a - 2\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - \frac{3}{2}\) , \( -\frac{11}{6} a^{3} - \frac{11}{2} a^{2} + \frac{13}{6} a + 4\) , \( -\frac{73}{6} a^{3} - 39 a^{2} + \frac{31}{3} a + \frac{69}{2}\bigr] \)
|
| 236.3-a2
| \( \bigl[-\frac{1}{6} a^{3} + \frac{1}{2} a^{2} + \frac{11}{6} a - 2\) , \( \frac{1}{6} a^{3} - \frac{1}{2} a^{2} - \frac{11}{6} a + 3\) , \( -\frac{1}{6} a^{3} + \frac{7}{3} a + \frac{3}{2}\) , \( \frac{2}{3} a^{3} - a^{2} - \frac{22}{3} a + 8\) , \( -a^{3} - 6 a^{2} - 6 a + 9\bigr] \)
|
| 236.3-a3
| \( \bigl[\frac{1}{6} a^{3} - \frac{4}{3} a + \frac{1}{2}\) , \( \frac{1}{3} a^{3} + \frac{1}{2} a^{2} - \frac{25}{6} a - \frac{5}{2}\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - \frac{3}{2}\) , \( \frac{109}{3} a^{3} + \frac{71}{2} a^{2} - \frac{2215}{6} a - \frac{709}{2}\) , \( -\frac{635}{2} a^{3} - 300 a^{2} + 3210 a + \frac{6063}{2}\bigr] \)
|
| 236.3-a4
| \( \bigl[\frac{1}{6} a^{3} - \frac{4}{3} a - \frac{1}{2}\) , \( -a\) , \( \frac{1}{2} a^{2} - \frac{1}{2} a - \frac{5}{2}\) , \( \frac{67}{2} a^{3} + \frac{237}{2} a^{2} - \frac{679}{2} a - 1193\) , \( -\frac{1315}{2} a^{3} - \frac{3057}{2} a^{2} + \frac{13295}{2} a + 15451\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
