The authors conjecture a positive natural density for primes p of good reduction such that |E1(F_p)| and |E2(F_p)| are coprime for non-CM elliptic curves E1, E2 over Q, prove the associated series converges with an almost Euler product, and establish a moments result for Serre pairs.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
For non-CM elliptic curves E/Q, the positivity of Cojocaru's density constant C_{E,j} is studied via adelic Galois representations, with experimental evidence linking vanishing to coincidences of division fields.
citing papers explorer
-
On the Density of Coprime Reductions of Elliptic Curves
The authors conjecture a positive natural density for primes p of good reduction such that |E1(F_p)| and |E2(F_p)| are coprime for non-CM elliptic curves E1, E2 over Q, prove the associated series converges with an almost Euler product, and establish a moments result for Serre pairs.
-
The Smallest Invariant Factor of Elliptic Curves, and Coincidences
For non-CM elliptic curves E/Q, the positivity of Cojocaru's density constant C_{E,j} is studied via adelic Galois representations, with experimental evidence linking vanishing to coincidences of division fields.