Isogeny class 1.1-a contains
8 curves linked by isogenies of
degrees dividing 42.
| Curve label |
Weierstrass Coefficients |
| 1.1-a1
| \( \bigl[\frac{1}{2} a^{3} - a\) , \( -a - 1\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - 2 a - 1\) , \( \frac{85}{2} a^{3} + \frac{51}{2} a^{2} - 284 a - 304\) , \( \frac{951}{2} a^{3} + \frac{589}{2} a^{2} - 2911 a - 2650\bigr] \)
|
| 1.1-a2
| \( \bigl[\frac{1}{2} a^{3} - a\) , \( a - 1\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - 2 a - 1\) , \( -43 a^{3} + \frac{51}{2} a^{2} + 284 a - 304\) , \( -\frac{951}{2} a^{3} + \frac{589}{2} a^{2} + 2910 a - 2650\bigr] \)
|
| 1.1-a3
| \( \bigl[\frac{1}{2} a^{3} - a\) , \( \frac{1}{2} a^{3} - 2 a\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - a\) , \( \frac{1}{2} a^{2} + a - 1\) , \( 0\bigr] \)
|
| 1.1-a4
| \( \bigl[\frac{1}{2} a^{3} - a\) , \( -\frac{1}{2} a^{3} + 2 a\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - a\) , \( -a^{3} + \frac{1}{2} a^{2} - 1\) , \( -a^{3} + a\bigr] \)
|
| 1.1-a5
| \( \bigl[a\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - 2 a - 1\) , \( \frac{1}{2} a^{2} + a - 1\) , \( \frac{1}{2} a^{3} - a^{2} + 1\) , \( \frac{1}{2} a^{3} - \frac{3}{2} a^{2} + 1\bigr] \)
|
| 1.1-a6
| \( \bigl[a\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + 2 a - 1\) , \( \frac{1}{2} a^{2} + a - 1\) , \( -a^{3} - a^{2} + a + 1\) , \( -a^{3} - \frac{3}{2} a^{2} + a + 1\bigr] \)
|
| 1.1-a7
| \( \bigl[a\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - 3 a\) , \( \frac{1}{2} a^{2} + a\) , \( \frac{25}{2} a^{3} - 25 a^{2} - 164 a - 151\) , \( -28 a^{3} - 421 a^{2} - 984 a - 681\bigr] \)
|
| 1.1-a8
| \( \bigl[a\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + 3 a\) , \( \frac{1}{2} a^{2} + a\) , \( -13 a^{3} - 25 a^{2} + 164 a - 151\) , \( \frac{55}{2} a^{3} - 421 a^{2} + 984 a - 681\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 42 & 14 & 7 & 21 & 2 & 6 \\
3 & 1 & 14 & 42 & 21 & 7 & 6 & 2 \\
42 & 14 & 1 & 3 & 6 & 2 & 21 & 7 \\
14 & 42 & 3 & 1 & 2 & 6 & 7 & 21 \\
7 & 21 & 6 & 2 & 1 & 3 & 14 & 42 \\
21 & 7 & 2 & 6 & 3 & 1 & 42 & 14 \\
2 & 6 & 21 & 7 & 14 & 42 & 1 & 3 \\
6 & 2 & 7 & 21 & 42 & 14 & 3 & 1
\end{array}\right)\)
