Elliptic curves in class 36.1-e over 4.4.10512.1
Isogeny class 36.1-e contains
4 curves linked by isogenies of
degrees dividing 10.
| Curve label |
Weierstrass Coefficients |
| 36.1-e1
| \( \bigl[a^{3} - 5 a - 5\) , \( -a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{3} - 6 a - 5\) , \( -5 a^{3} - 14 a^{2} - 19 a - 12\) , \( -49 a^{3} - 147 a^{2} - 100 a + 9\bigr] \)
|
| 36.1-e2
| \( \bigl[a^{3} - 5 a - 5\) , \( -a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{3} - 6 a - 5\) , \( 6 a^{2} + a - 7\) , \( -2 a^{3} + a - 3\bigr] \)
|
| 36.1-e3
| \( \bigl[a\) , \( a^{2} - 2 a - 5\) , \( a^{3} - 6 a - 5\) , \( -168 a^{3} + 118 a^{2} + 910 a + 625\) , \( 897 a^{3} - 334 a^{2} - 5509 a - 4613\bigr] \)
|
| 36.1-e4
| \( \bigl[a\) , \( a^{2} - 2 a - 5\) , \( a^{3} - 6 a - 5\) , \( 732 a^{3} - 602 a^{2} - 4130 a - 2795\) , \( 6261 a^{3} - 5554 a^{2} - 35569 a - 23549\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 10 & 5 \\
2 & 1 & 5 & 10 \\
10 & 5 & 1 & 2 \\
5 & 10 & 2 & 1
\end{array}\right)\)
