%0 Journal Article
%T Supersingular distribution on average for congruence classes of primes
%A Nahid Walji
%J Mathematics
%D 2013
%I arXiv
%R 10.4064/aa142-4-7
%X We demonstrate the existence of a congruence class bias in the distribution of supersingular primes on average for elliptic curves over $\Q$. For example, we show that on average there are twice as many supersingular primes congruent to 2 mod 3 as there are congruent to 1 mod 3. Our result is obtained using the averaging approach of Fouvry-Murty along with ideas of David-Pappalardi.
%U http://arxiv.org/abs/1307.5346v1