Number of points on the elliptic curve $\ y^2 = x^3 + 1$
74214
Prove that there are $p+1$ points on the elliptic curve $y^2 = x^3 + 1$ over $\mathbb{F}_p$, where $p > 3$ is a prime such that $p \equiv 2 \pmod 3$.
30401
Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
61214
Elliptic Curve and Divisor Example help (Step 1)
15314
Number of solutions to $x^n \equiv 1 \mod p$
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
99739
The diophantine equation $x^2+y^2=3z^2$
28594
Number of integer solutions of the following equation
122741
$x^2$ is congruent to $-1 \bmod p$
127945
Number of solutions to the congruence $x^q \equiv 1 \mod p$.
144042
On the functional square root of $x^2+1$
67768
How to determine the group structure of $E(\mathbb{R})$ for an elliptic curve $E/\mathbb{R}$
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
37158
upper limit of $\cos (x^2)-\cos (x+1)^2$ is $2$
17276
Number of points in the fibre and the degree of field extension