Hasse's theorem on elliptic curves

id: hasse-s-theorem-on-elliptic-curves-237-12882019
title: Hasse's theorem on elliptic curves
text: Hasse's theorem on elliptic curves, also referred to as the Hasse bound, provides an estimate of the number of points on an elliptic curve over a finite field, bounding the value both above and below. If N is the number of points on the elliptic curve E over a finite field with q elements, then Hasse's result states that The reason is that N differs from q + 1, the number of points of the projective line over the same field, by an 'error term' that is the sum of two complex numbers, each of abso
brand slug: wiki
category slug: encyclopedia
description: Estimates the number of points on an elliptic curve over a finite field
original url: https://en.wikipedia.org/wiki/Hasse%27s_theorem_on_elliptic_curves
date created:
date modified: 2024-01-17T10:12:40Z
main entity: {"identifier":"Q3502015","url":"https://www.wikidata.org/entity/Q3502015"}
image:
fields total: 13
integrity: 14

Related Entries

Explore Next Part