Isogeny class 961.8-b contains
8 curves linked by isogenies of
degrees dividing 30.
| Curve label |
Weierstrass Coefficients |
| 961.8-b1
| \( \bigl[a^{2} + a - 2\) , \( -a^{3} + 2 a + 1\) , \( a^{3} + a^{2} - 2 a - 1\) , \( 10406 a^{3} + 8606 a^{2} - 25904 a - 5696\) , \( -1039137 a^{3} - 859459 a^{2} + 2586237 a + 568739\bigr] \)
|
| 961.8-b2
| \( \bigl[a^{2} + a - 2\) , \( -a^{3} + 2 a + 1\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -70144 a^{3} - 58044 a^{2} + 174511 a + 38379\) , \( -10627479 a^{3} - 8789766 a^{2} + 26450255 a + 5816663\bigr] \)
|
| 961.8-b3
| \( \bigl[a^{2} + a - 1\) , \( -a^{2} - a + 1\) , \( a^{3} + a^{2} - 2 a - 2\) , \( -30 a^{3} - 5 a^{2} + 107 a - 63\) , \( -10 a^{3} - 73 a^{2} - 69 a + 248\bigr] \)
|
| 961.8-b4
| \( \bigl[a^{2} + a - 1\) , \( -a^{2} - a + 1\) , \( a^{3} + a^{2} - 2 a - 2\) , \( -5 a^{3} + 12 a - 3\) , \( -2 a^{3} + 2 a + 2\bigr] \)
|
| 961.8-b5
| \( \bigl[a^{3} - 2 a\) , \( a^{2} + a - 2\) , \( a^{2} + a - 1\) , \( -252118 a^{3} - 208524 a^{2} + 627478 a + 137990\) , \( 94587275 a^{3} + 78232276 a^{2} - 235411620 a - 51769332\bigr] \)
|
| 961.8-b6
| \( \bigl[a^{3} - 2 a\) , \( a^{2} + a - 2\) , \( a^{2} + a - 1\) , \( -4038928 a^{3} - 3340559 a^{2} + 10052203 a + 2210575\) , \( 6056496764 a^{3} + 5009273452 a^{2} - 15073589041 a - 3314830541\bigr] \)
|
| 961.8-b7
| \( \bigl[a + 1\) , \( -a^{3} - a^{2} + 3 a + 1\) , \( a^{2} - 1\) , \( -22 a^{3} - 7 a^{2} + 86 a - 51\) , \( 10 a^{3} + 29 a^{2} + 68 a - 169\bigr] \)
|
| 961.8-b8
| \( \bigl[a + 1\) , \( -a^{3} - a^{2} + 3 a + 1\) , \( a^{2} - 1\) , \( 3 a^{3} - 2 a^{2} - 9 a + 9\) , \( -a^{3} + 4 a^{2} + 7 a - 14\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 6 & 3 & 5 & 10 & 30 & 15 \\
2 & 1 & 3 & 6 & 10 & 5 & 15 & 30 \\
6 & 3 & 1 & 2 & 30 & 15 & 5 & 10 \\
3 & 6 & 2 & 1 & 15 & 30 & 10 & 5 \\
5 & 10 & 30 & 15 & 1 & 2 & 6 & 3 \\
10 & 5 & 15 & 30 & 2 & 1 & 3 & 6 \\
30 & 15 & 5 & 10 & 6 & 3 & 1 & 2 \\
15 & 30 & 10 & 5 & 3 & 6 & 2 & 1
\end{array}\right)\)
