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arXiv · 1307.5346

Supersingular distribution on average for congruence classes of primes

Nahid Walji
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Abstract

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.

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Nahid Walji. 2013-07-19. Supersingular distribution on average for congruence classes of primes. https://doi.org/10.4064/aa142-4-7

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