Elliptic curves in class 9.1-b over 5.5.70601.1
Isogeny class 9.1-b contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 9.1-b1
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 4\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( 2 a^{4} - a^{3} - 10 a^{2} + 4\) , \( -10860 a^{4} + 7306 a^{3} + 56621 a^{2} - 3366 a - 33769\) , \( -719344 a^{4} + 486907 a^{3} + 3752939 a^{2} - 228180 a - 2231590\bigr] \)
|
| 9.1-b2
| \( \bigl[a^{4} - 6 a^{2} - 2 a + 4\) , \( -a^{3} + a^{2} + 3 a\) , \( a^{4} - 6 a^{2} - 2 a + 4\) , \( -160 a^{4} + 15 a^{3} + 634 a^{2} - 12 a - 373\) , \( -1777 a^{4} - 692 a^{3} + 5689 a^{2} + 563 a - 3148\bigr] \)
|
| 9.1-b3
| \( \bigl[2 a^{4} - 2 a^{3} - 9 a^{2} + 4 a + 3\) , \( a^{4} - a^{3} - 5 a^{2} + a + 1\) , \( a^{4} - 6 a^{2} - a + 3\) , \( -2 a^{4} + 5 a^{3} + a^{2} - 5 a + 2\) , \( -2 a^{4} + 6 a^{3} - a^{2} - 5 a + 2\bigr] \)
|
| 9.1-b4
| \( \bigl[2 a^{4} - a^{3} - 10 a^{2} + 4\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( 2 a^{4} - a^{3} - 10 a^{2} + 4\) , \( 100 a^{4} - 74 a^{3} - 514 a^{2} + 54 a + 291\) , \( 8 a^{4} + 8 a^{3} - 63 a^{2} - 51 a + 75\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
