Isogeny class 1.1-a contains
4 curves linked by isogenies of
degrees dividing 35.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[0\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{20}{23} a - \frac{45}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{102}{23}\) , \( \frac{166}{23} a^{3} + \frac{211}{23} a^{2} - \frac{740}{23} a - \frac{750}{23}\) , \( 38 a^{3} + 64 a^{2} - 179 a - 217\bigr] \)
|
| 1.1-a2
| \( \bigl[0\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{43}{23} a - \frac{22}{23}\) , \( 1\) , \( -\frac{348}{23} a^{3} + \frac{1626}{23} a^{2} + \frac{536}{23} a - \frac{4817}{23}\) , \( -\frac{1502}{23} a^{3} + \frac{9038}{23} a^{2} - \frac{10395}{23} a - \frac{3550}{23}\bigr] \)
|
| 1.1-a3
| \( \bigl[0\) , \( \frac{2}{23} a^{3} - \frac{3}{23} a^{2} - \frac{20}{23} a + \frac{45}{23}\) , \( -\frac{1}{23} a^{3} + \frac{13}{23} a^{2} - \frac{13}{23} a - \frac{103}{23}\) , \( \frac{166}{23} a^{3} + \frac{211}{23} a^{2} - \frac{740}{23} a - \frac{750}{23}\) , \( -\frac{876}{23} a^{3} - \frac{1469}{23} a^{2} + \frac{4160}{23} a + \frac{4831}{23}\bigr] \)
|
| 1.1-a4
| \( \bigl[0\) , \( -\frac{2}{23} a^{3} + \frac{3}{23} a^{2} + \frac{20}{23} a - \frac{45}{23}\) , \( -\frac{3}{23} a^{3} + \frac{16}{23} a^{2} + \frac{30}{23} a - \frac{102}{23}\) , \( -\frac{162}{23} a^{3} + \frac{703}{23} a^{2} - \frac{220}{23} a - \frac{1092}{23}\) , \( \frac{1038}{23} a^{3} - \frac{4800}{23} a^{2} + \frac{1649}{23} a + \frac{7738}{23}\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 7 & 35 & 5 \\
7 & 1 & 5 & 35 \\
35 & 5 & 1 & 7 \\
5 & 35 & 7 & 1
\end{array}\right)\)
