elliptic curve

a smooth projective curve of genus 1 equipped with a rational basepoint
Thing general Q268493
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elliptic curve

Summary

elliptic curve ranks in the top 2% of general entities by monthly Wikipedia readership (1,585 views/month).[1]

Key Facts

  • elliptic curve is a type of hyperelliptic curve[2].
  • elliptic curve is a type of abelian variety[3].
  • elliptic curve is a type of cubic plane curve[4].
  • elliptic curve is used for elliptic curve cryptography[5].
  • elliptic curve's Commons category is recorded as Elliptic curves[6].
  • elliptic curve's topic's main category is recorded as Category:Elliptic curves[7].
  • elliptic curve's Commons gallery is recorded as Elliptic curve[8].
  • elliptic curve's Stack Exchange tag is recorded as https://stackoverflow.com/tags/elliptic-curve[9].
  • elliptic curve's different from is recorded as ellipse[10].
  • elliptic curve's studied by is recorded as elliptic curve theory[11].
  • elliptic curve's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

Recorded subclass of include hyperelliptic curve[2], abelian variety[3], and cubic plane curve[4].

Use and Application

elliptic curve is used for it cryptography[5].

Influence

Things named for elliptic curve include Elliptic-curve Diffie–Hellman[13], a key-agreement protocol[14] and hyperelliptic curve[15].

Why It Matters

elliptic curve ranks in the top 2% of general entities by monthly Wikipedia readership (1,585 views/month).[1] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[16] It is known by 20 alternative names across languages and contexts.[17]

Entities named for it include Elliptic-curve Diffie–Hellman[13], a key-agreement protocol[14] and hyperelliptic curve[15].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [13] . wikidata.org. → on this site
  2. [15] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [14] . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). elliptic curve. Retrieved April 10, 2026, from https://4ort.xyz/entity/elliptic-curve
MLA “elliptic curve.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/elliptic-curve.
BibTeX @misc{4ortxyz_elliptic-curve_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{elliptic curve}}, year = {2026}, url = {https://4ort.xyz/entity/elliptic-curve}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): elliptic curve — https://4ort.xyz/entity/elliptic-curve (retrieved 2026-04-10)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Has use elliptic curve cryptography
    Studied by elliptic curve theory
    Subclass of hyperelliptic curve, abelian variety, cubic plane curve
    Maintained by wikiproject WikiProject Mathematics
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007538488105171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.