Isogeny class 841.7-a contains
8 curves linked by isogenies of
degrees dividing 30.
| Curve label |
Weierstrass Coefficients |
| 841.7-a1
| \( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a^{3} - a^{2} + 3 a + 1\) , \( a^{2} - 1\) , \( -101389 a^{3} - 83857 a^{2} + 252341 a + 55492\) , \( 24127676 a^{3} + 19955781 a^{2} - 60049677 a - 13205515\bigr] \)
|
| 841.7-a2
| \( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a^{3} - a^{2} + 3 a + 1\) , \( a^{2} - 1\) , \( -1624209 a^{3} - 1343372 a^{2} + 4042371 a + 888957\) , \( 1544603558 a^{3} + 1277527564 a^{2} - 3844255227 a - 845389548\bigr] \)
|
| 841.7-a3
| \( \bigl[a^{3} - 3 a\) , \( -a + 1\) , \( a^{3} - 2 a + 1\) , \( -21 a^{3} - 13 a^{2} + 54 a + 2\) , \( -55 a^{3} - 48 a^{2} + 135 a + 37\bigr] \)
|
| 841.7-a4
| \( \bigl[a^{3} - 3 a\) , \( -a + 1\) , \( a^{3} - 2 a + 1\) , \( -326 a^{3} - 213 a^{2} + 849 a + 27\) , \( -3635 a^{3} - 3265 a^{2} + 8894 a + 2657\bigr] \)
|
| 841.7-a5
| \( \bigl[a\) , \( a^{3} - 4 a\) , \( a^{3} - 2 a\) , \( 196563 a^{3} + 162575 a^{2} - 489211 a - 107582\) , \( -85653870 a^{3} - 70843538 a^{2} + 213177897 a + 46879917\bigr] \)
|
| 841.7-a6
| \( \bigl[a\) , \( a^{3} - 4 a\) , \( a^{3} - 2 a\) , \( -1326257 a^{3} - 1096940 a^{2} + 3300819 a + 725883\) , \( -870443666 a^{3} - 719936036 a^{2} + 2166386079 a + 476409613\bigr] \)
|
| 841.7-a7
| \( \bigl[a^{3} - 3 a + 1\) , \( -a^{3} - a^{2} + 2 a + 2\) , \( a^{2} + a - 1\) , \( 3 a^{3} - 5 a^{2} - a + 3\) , \( -4 a^{3} + 8 a^{2} - 4 a - 1\bigr] \)
|
| 841.7-a8
| \( \bigl[a^{3} - 3 a + 1\) , \( -a^{3} - a^{2} + 2 a + 2\) , \( a^{2} + a - 1\) , \( 28 a^{3} - 85 a^{2} + 44 a + 13\) , \( -229 a^{3} + 748 a^{2} - 502 a - 143\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 15 & 30 & 5 & 10 & 3 & 6 \\
2 & 1 & 30 & 15 & 10 & 5 & 6 & 3 \\
15 & 30 & 1 & 2 & 3 & 6 & 5 & 10 \\
30 & 15 & 2 & 1 & 6 & 3 & 10 & 5 \\
5 & 10 & 3 & 6 & 1 & 2 & 15 & 30 \\
10 & 5 & 6 & 3 & 2 & 1 & 30 & 15 \\
3 & 6 & 5 & 10 & 15 & 30 & 1 & 2 \\
6 & 3 & 10 & 5 & 30 & 15 & 2 & 1
\end{array}\right)\)
