Supersingular prime (algebraic number theory)

id: supersingular-prime-algebraic-number-theory-229-2545795
title: Supersingular prime (algebraic number theory)
text: In algebraic number theory, a supersingular prime for a given elliptic curve is a prime number with a certain relationship to that curve. If the curve E is 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 every elliptic curve over the rational numbers has infinitely many supersingular primes. However, the set of supersingular primes has asymptotic density ze
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original url: https://en.wikipedia.org/wiki/Supersingular_prime_(algebraic_number_theory)
date created: 2009-05-26T16:24:49Z
date modified: 2024-09-15T10:11:02Z
main entity: {"identifier":"Q3343100","url":"https://www.wikidata.org/entity/Q3343100"}
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fields total: 13
integrity: 14

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