Does any problem arise when the order of an elliptic curve is equal to its prime field modulus?
115977
Why Smart's attack doesn't work on this ECDLP?
100658
Are "pushforward" and "pullback by zero section" of diffrentials isomorphic in elliptic curves?
126127
A field extension of prime degree
126725
If $p$ is prime and $p$ $\equiv$ $1$ (mod 4), then the congruence $x^2$ $\equiv$ $-1$ (mod $p$) has two incongruent solutions...
93846
Key equivalence across different elliptic curves
77211
How to calculate elliptic curve parameters?
107990
Does there exist an integer $x$ satisfying the following congruences?
26478
Show that the congruence $x^{p-1} \equiv 1 \pmod {p^2}$ has precisely $p-1$ solutions modulo $p^2$
41700
Are Mersenne prime exponents always odd?
37811
Why Elliptic Curves?
115449
Inclusion of Fields whose order is a prime power
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 $p \equiv 2 \pmod 3$.
80514
Why are elliptic curves constructed using prime fields and not composite fields?
29204
$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus
131289
Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
158213
RSA with probable primes
68252
Chinese Remainder Theorem solvability for non-coprime moduli