Isogeny class 841.10-a contains
8 curves linked by isogenies of
degrees dividing 30.
| Curve label |
Weierstrass Coefficients |
| 841.10-a1
| \( \bigl[a^{2} - 1\) , \( a^{3} - 4 a\) , \( a^{3} - 3 a + 1\) , \( -4 a^{3} - 15 a^{2} + 18 a - 3\) , \( 17 a^{3} + 44 a^{2} - 78 a - 29\bigr] \)
|
| 841.10-a2
| \( \bigl[a^{2} - 1\) , \( a^{3} - 4 a\) , \( a^{3} - 3 a + 1\) , \( a^{3} - 2 a + 2\) , \( 2 a^{3} + 2 a^{2} - 5 a - 2\bigr] \)
|
| 841.10-a3
| \( \bigl[a^{3} - 3 a\) , \( -a^{3} + 4 a\) , \( a^{3} - 2 a + 1\) , \( 9210 a^{3} + 7600 a^{2} - 22959 a - 5048\) , \( -859607 a^{3} - 710927 a^{2} + 2139516 a + 470497\bigr] \)
|
| 841.10-a4
| \( \bigl[a^{3} - 3 a\) , \( -a^{3} + 4 a\) , \( a^{3} - 2 a + 1\) , \( -61310 a^{3} - 51000 a^{2} + 151961 a + 33437\) , \( -8814438 a^{3} - 7286362 a^{2} + 21946253 a + 4825929\bigr] \)
|
| 841.10-a5
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -8 a^{3} - 16 a^{2} + 26 a - 1\) , \( -54 a^{3} - 57 a^{2} + 161 a + 39\bigr] \)
|
| 841.10-a6
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} + a^{2} - 3 a - 1\) , \( -3 a^{3} - a^{2} + 6 a + 4\) , \( -a^{3} - 4 a^{2} + 6 a + 2\bigr] \)
|
| 841.10-a7
| \( \bigl[1\) , \( -a^{2} - a + 3\) , \( a^{3} - 2 a + 1\) , \( -222320 a^{3} - 183879 a^{2} + 553317 a + 121683\) , \( 78789577 a^{3} + 65166142 a^{2} - 196093841 a - 43122964\bigr] \)
|
| 841.10-a8
| \( \bigl[1\) , \( -a^{2} - a + 3\) , \( a^{3} - 2 a + 1\) , \( -3561535 a^{3} - 2945719 a^{2} + 8864042 a + 1949293\) , \( 5022573969 a^{3} + 4154125293 a^{2} - 12500331294 a - 2748945842\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 30 & 15 & 5 & 10 & 6 & 3 \\
2 & 1 & 15 & 30 & 10 & 5 & 3 & 6 \\
30 & 15 & 1 & 2 & 6 & 3 & 5 & 10 \\
15 & 30 & 2 & 1 & 3 & 6 & 10 & 5 \\
5 & 10 & 6 & 3 & 1 & 2 & 30 & 15 \\
10 & 5 & 3 & 6 & 2 & 1 & 15 & 30 \\
6 & 3 & 5 & 10 & 30 & 15 & 1 & 2 \\
3 & 6 & 10 & 5 & 15 & 30 & 2 & 1
\end{array}\right)\)
