Supersingular Prime (Moonshine Theory)
Monstrous Moonshine, Monster Group, Sporadic Group, Modular Curve, Andrew Ogg, 3 (Number)
Herausgegeben: Hiram, Epimetheus Chr.
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. There are precisely 15 supersingular primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, and 71 all 15 are Chen primes.This definition is related to the notion of supersingular elliptic curves as follows. For a prime number p, the...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. There are precisely 15 supersingular primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 47, 59, and 71 all 15 are Chen primes.This definition is related to the notion of supersingular elliptic curves as follows. For a prime number p, the following are equivalent: 1. The modular curve X0+(p) = X0(p) / wp, where wp is the Fricke involution of X0(p), has genus zero.2. Every supersingular elliptic curve in characteristic p can be defined over the prime subfield Fp.3. The order of the Monster group is divisible by p.
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