Show the following points are independent on elliptic curve $y^2=x^3-82x$ using Sage.
41129
Sage code to check independence of rational points on elliptic curve
119666
What is the relationship between p (prime), n (order) and h (cofactor) of an elliptic curve?
79457
Geometric random variables $X_1:G(p_1)$ $X_2:G(p_2)$ $X_3:G(p_3)$ are independent, prove the following :
119796
Group Law for an Elliptic curve
40609
Prove that $f(X)$ and $g(Y)$ are independent if $X$ and $Y$ are independent
117789
Computing Galois Group of $\mathbb{Q}(\sqrt{2},\sqrt{3}):\mathbb{Q}$
94700
Integer solutions for $x^3+2=y^2$?
37357
Rectifiability of a curve
72920
$x \perp y$ if and only if $\Vert x + \alpha y \Vert \ge \Vert x \Vert$ for all scalars $\alpha$
140481
How to tell if a quartic equation has a multiple root.
67768
How to determine the group structure of $E(\mathbb{R})$ for an elliptic curve $E/\mathbb{R}$
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
115834
Cubic polynomial with three (distinct) irrational roots
128881
Why is $y^2 = 1+x^4$ an elliptic curve?
20467
Show that $(y_n)\in l^q$
120461
Polar Plots and square roots
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8