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In algebraic number theory, supersingular primes are particularly interesting as they relate to the study of elliptic curves and the behavior of their reduction modulo prime numbers. Specifically, a prime \( p \) is called **supersingular** for an elliptic curve \( E \) over the finite field \( \mathbb{F}_p \) if the reduced curve \( E \mod p \) has a specific structure that makes it "supersingular.

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