Isogeny class 961.9-b contains
8 curves linked by isogenies of
degrees dividing 30.
| Curve label |
Weierstrass Coefficients |
| 961.9-b1
| \( \bigl[a^{2} - 2\) , \( a^{3} + a^{2} - 2 a - 2\) , \( a^{2} - 2\) , \( 511247 a^{3} + 422844 a^{2} - 1272415 a - 279818\) , \( 359892277 a^{3} + 297663641 a^{2} - 895710571 a - 196975569\bigr] \)
|
| 961.9-b2
| \( \bigl[a^{2} - 2\) , \( a^{3} + a^{2} - 2 a - 2\) , \( a^{2} - 2\) , \( -3449313 a^{3} - 2852961 a^{2} + 8584610 a + 1887842\) , \( 3646894359 a^{3} + 3016313673 a^{2} - 9076497964 a - 1996011239\bigr] \)
|
| 961.9-b3
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( a^{3} - 3 a + 1\) , \( 62 a^{3} + 19 a^{2} - 234 a - 62\) , \( 439 a^{3} + 129 a^{2} - 1605 a - 346\bigr] \)
|
| 961.9-b4
| \( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( a^{3} - 3 a + 1\) , \( 7 a^{3} + 4 a^{2} - 24 a - 2\) , \( 10 a^{3} + 5 a^{2} - 36 a - 11\bigr] \)
|
| 961.9-b5
| \( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a + 1\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -917 a^{3} - 463 a^{2} + 2463 a - 272\) , \( 16332 a^{3} + 10420 a^{2} - 42556 a - 853\bigr] \)
|
| 961.9-b6
| \( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a + 1\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -57 a^{3} - 28 a^{2} + 153 a - 17\) , \( 195 a^{3} + 119 a^{2} - 512 a + 4\bigr] \)
|
| 961.9-b7
| \( \bigl[a + 1\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( 1\) , \( -263712 a^{3} - 218103 a^{2} + 656349 a + 144337\) , \( -101761255 a^{3} - 84165827 a^{2} + 253266390 a + 55695772\bigr] \)
|
| 961.9-b8
| \( \bigl[a + 1\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( 1\) , \( -4224272 a^{3} - 3493908 a^{2} + 10513374 a + 2311997\) , \( -6487761039 a^{3} - 5365968522 a^{2} + 16146931708 a + 3550869173\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 30 & 15 & 6 & 3 & 5 & 10 \\
2 & 1 & 15 & 30 & 3 & 6 & 10 & 5 \\
30 & 15 & 1 & 2 & 5 & 10 & 6 & 3 \\
15 & 30 & 2 & 1 & 10 & 5 & 3 & 6 \\
6 & 3 & 5 & 10 & 1 & 2 & 30 & 15 \\
3 & 6 & 10 & 5 & 2 & 1 & 15 & 30 \\
5 & 10 & 6 & 3 & 30 & 15 & 1 & 2 \\
10 & 5 & 3 & 6 & 15 & 30 & 2 & 1
\end{array}\right)\)
