Isogeny class 1.1-c contains
8 curves linked by isogenies of
degrees dividing 28.
| Curve label |
Weierstrass Coefficients |
| 1.1-c1
| \( \bigl[-\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{103}{23}\) , \( \frac{2}{23} a^{3} - \frac{3}{23} a^{2} - \frac{43}{23} a + \frac{22}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{103}{23}\) , \( \frac{4}{23} a^{3} - \frac{75}{23} a^{2} - \frac{17}{23} a + \frac{159}{23}\) , \( -\frac{30}{23} a^{3} - \frac{24}{23} a^{2} + \frac{70}{23} a + \frac{130}{23}\bigr] \)
|
| 1.1-c2
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( -1\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( -\frac{540}{23} a^{3} + \frac{810}{23} a^{2} + \frac{11610}{23} a - \frac{22454}{23}\) , \( -\frac{6446}{23} a^{3} + \frac{9669}{23} a^{2} + \frac{138589}{23} a - \frac{267073}{23}\bigr] \)
|
| 1.1-c3
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( -1\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( \frac{540}{23} a^{3} - \frac{810}{23} a^{2} - \frac{11610}{23} a - \frac{10574}{23}\) , \( \frac{6446}{23} a^{3} - \frac{9669}{23} a^{2} - \frac{138589}{23} a - \frac{125261}{23}\bigr] \)
|
| 1.1-c4
| \( \bigl[-\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( -1\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( \frac{510}{23} a^{3} - \frac{765}{23} a^{2} - \frac{10965}{23} a - \frac{9984}{23}\) , \( \frac{7338}{23} a^{3} - \frac{11007}{23} a^{2} - \frac{157767}{23} a - \frac{142589}{23}\bigr] \)
|
| 1.1-c5
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -\frac{540}{23} a^{3} + \frac{810}{23} a^{2} + \frac{11610}{23} a - \frac{22385}{23}\) , \( \frac{6446}{23} a^{3} - \frac{9669}{23} a^{2} - \frac{138589}{23} a + \frac{267027}{23}\bigr] \)
|
| 1.1-c6
| \( \bigl[1\) , \( -1\) , \( 1\) , \( \frac{540}{23} a^{3} - \frac{810}{23} a^{2} - \frac{11610}{23} a - \frac{10505}{23}\) , \( -\frac{6446}{23} a^{3} + \frac{9669}{23} a^{2} + \frac{138589}{23} a + \frac{125215}{23}\bigr] \)
|
| 1.1-c7
| \( \bigl[1\) , \( -1\) , \( 1\) , \( \frac{510}{23} a^{3} - \frac{765}{23} a^{2} - \frac{10965}{23} a - \frac{9915}{23}\) , \( -\frac{7338}{23} a^{3} + \frac{11007}{23} a^{2} + \frac{157767}{23} a + \frac{142543}{23}\bigr] \)
|
| 1.1-c8
| \( \bigl[-\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{102}{23}\) , \( \frac{2}{23} a^{3} - \frac{3}{23} a^{2} - \frac{43}{23} a + \frac{22}{23}\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a + \frac{1}{23}\) , \( \frac{7}{23} a^{3} - \frac{114}{23} a^{2} - \frac{47}{23} a + \frac{560}{23}\) , \( \frac{105}{23} a^{3} - \frac{261}{23} a^{2} - \frac{268}{23} a + \frac{649}{23}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 28 & 4 & 2 & 4 & 28 & 14 & 7 \\
28 & 1 & 7 & 14 & 28 & 4 & 2 & 4 \\
4 & 7 & 1 & 2 & 4 & 28 & 14 & 28 \\
2 & 14 & 2 & 1 & 2 & 14 & 7 & 14 \\
4 & 28 & 4 & 2 & 1 & 7 & 14 & 28 \\
28 & 4 & 28 & 14 & 7 & 1 & 2 & 4 \\
14 & 2 & 14 & 7 & 14 & 2 & 1 & 2 \\
7 & 4 & 28 & 14 & 28 & 4 & 2 & 1
\end{array}\right)\)
