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atkin-lehner involution 1good reduction 1modular curves 1modular forms 1prime classification 1shimura curves 1

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math.NT2026

Unexpected primes of good reduction in quotients of modular and Shimura curves

Oana Padurariu, Sun Woo Park, John Voight

The paper determines all zero‑dimensional spaces of weight‑2 newforms with squarefree level and a prescribed Atkin–Lehner sign pattern, and uses this to classify the primes at whic…