Isogeny class 9.1-b contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 4 a - 2\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -370 a^{3} + 152 a^{2} + 1216 a - 885\) , \( -5826 a^{3} + 2322 a^{2} + 20149 a - 11749\bigr] \)
|
| 9.1-b2
| \( \bigl[a^{3} + a^{2} - 4 a - 2\) , \( -a^{3} - a^{2} + 4 a + 1\) , \( a^{2} - 2\) , \( -71 a^{3} + 34 a^{2} + 265 a - 128\) , \( -251 a^{3} + 128 a^{2} + 937 a - 478\bigr] \)
|
| 9.1-b3
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a - 1\) , \( a^{3} - 3 a + 1\) , \( 39 a^{3} - 117 a - 60\) , \( 152 a^{3} - 456 a - 220\bigr] \)
|
| 9.1-b4
| \( \bigl[a^{3} - 3 a\) , \( -a^{3} + 3 a - 1\) , \( a^{3} - 3 a + 1\) , \( 0\) , \( 0\bigr] \)
|
| 9.1-b5
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( -162 a^{3} + 486 a - 243\) , \( -1495 a^{3} + 4485 a - 2130\bigr] \)
|
| 9.1-b6
| \( \bigl[a^{3} - 3 a\) , \( a^{3} - 3 a\) , \( a^{3} - 3 a + 1\) , \( -2 a^{3} + 6 a - 3\) , \( 0\bigr] \)
|
| 9.1-b7
| \( \bigl[a + 1\) , \( -a^{2} - a + 1\) , \( a^{2} + a - 1\) , \( -4 a^{3} + 9 a - 11\) , \( 6 a^{3} - 3 a^{2} - 25 a + 6\bigr] \)
|
| 9.1-b8
| \( \bigl[a + 1\) , \( a^{3} - 5 a + 1\) , \( a^{3} - 3 a + 1\) , \( -2461 a^{3} + 1265 a^{2} + 9161 a - 4781\) , \( -87314 a^{3} + 45141 a^{2} + 325764 a - 168705\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 4 & 20 & 2 & 10 & 20 & 4 \\
5 & 1 & 20 & 4 & 10 & 2 & 4 & 20 \\
4 & 20 & 1 & 5 & 2 & 10 & 20 & 4 \\
20 & 4 & 5 & 1 & 10 & 2 & 4 & 20 \\
2 & 10 & 2 & 10 & 1 & 5 & 10 & 2 \\
10 & 2 & 10 & 2 & 5 & 1 & 2 & 10 \\
20 & 4 & 20 & 4 & 10 & 2 & 1 & 5 \\
4 & 20 & 4 & 20 & 2 & 10 & 5 & 1
\end{array}\right)\)
