Rational points on the elliptic curve $y^2=x^3 -x$
158933
Rational solutions of $y^2 = x^3 - x$
94700
Integer solutions for $x^3+2=y^2$?
140378
Show that the curve $2Y^2 = X^4 - 17$ has no points in $\mathbb{Q}$
61214
Elliptic Curve and Divisor Example help (Step 1)
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
50760
Solutions to $y^2 = x^3 + k$?
141273
When is $\sin(x)$ rational?
128881
Why is $y^2 = 1+x^4$ an elliptic curve?
138100
References for elliptic curves
55026
$\mathbb{Q}[X,Y]/(Y^2-X^3)$ is not a UFD
34435
Integral solutions to $y^{2}=x^{3}-1$
20834
Integer solutions to $c=a^2-b^2$
10548
The equation $-1 = x^2 + y^2$ in finite fields
133164
Rational solutions for $x^2+y^2=3$