Supersingular prime
Encyclopedia
In mathematics, a supersingular prime is a prime number satisfying one of the following concepts:
- Supersingular prime (for an elliptic curve)Supersingular prime (for an elliptic curve)In algebraic number theory, a supersingular prime is a certain type of prime number. If E is an elliptic curve defined over the rational numbers, then a prime p is supersingular for E if the reduction of E modulo p is a supersingular elliptic curve over the residue field Fp.Noam Elkies showed that...
, in algebraic number theory - Supersingular prime (moonshine theory)Supersingular prime (moonshine theory)In the mathematical branch of moonshine theory, a supersingular prime is a certain type of prime number.Namely, a supersingular prime is a prime divisor of the order of the Monster group M, the largest of the sporadic simple groups...