About: Classical modular curve

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Classical modular curve Goto Sponge NotDistinct Permalink

An Entity of Type : yago:WikicatAlgebraicCurves, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FClassical_modular_curve

In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y) = 0, such that (x, y) = (j(nτ), j(τ)) is a point on the curve. Here j(τ) denotes the j-invariant. The curve is sometimes called X0(n), though often that notation is used for the abstract algebraic curve for which there exist various models. A related object is the classical modular polynomial, a polynomial in one variable defined as Φn(x, x).

Attributes	Values
rdf:type	yago:WikicatModularForms yago:Abstraction100002137 yago:Attribute100024264 yago:Curve113867641 yago:Form106290637 yago:LanguageUnit106284225 yago:Line113863771 yago:Part113809207 yago:Relation100031921 yago:Word106286395 album yago:Shape100027807 yago:WikicatAlgebraicCurves
rdfs:label	Corba modular clàssica (ca) Classical modular curve (en)
rdfs:comment	En teoria de nombres, la corba modular clàssica és una corba algebraica plana irreductible definida per una equació Φn(x, y)=0, on per al j-invariant j(τ;), x=j(n τ), y=j(τ) és un punt en la corba. La corba s'anomena a vegades X0(n), tanmateix sovint això es fa servir per a la corba algebraica abstracta per a la qual hi ha diversos models. Un objecte relacionat és el polinomi modular clàssic, un polinomi d'una variable definida com a Φn(x, x). (ca) In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y) = 0, such that (x, y) = (j(nτ), j(τ)) is a point on the curve. Here j(τ) denotes the j-invariant. The curve is sometimes called X0(n), though often that notation is used for the abstract algebraic curve for which there exist various models. A related object is the classical modular polynomial, a polynomial in one variable defined as Φn(x, x). (en)
foaf:depiction
dcterms:subject	Modular forms Algebraic curves Analytic number theory
Wikipage page ID	5249663 (xsd:integer)
Wikipage revision ID	1013180220 (xsd:integer)
Link from a Wikipage to another Wikipage	Monster group Dedekind eta function Modular forms Dedekind psi function Elliptic curve Geometric genus Modularity theorem Möbius transformation Conductor of an elliptic curve Galois extension Galois group Algebraic curve Algebraic curves Erich Hecke Number theory Upper half-plane Projective line Projective linear group Quadratic reciprocity Wreath product J-invariant Algebraic curves Analytic number theory Characteristic (algebra) Cohomology Modular curve Serge Lang McKay–Thompson series Modular function dbr:Henri_Carayol
Link from a Wikipage to an external page	http://www.math.fsu.edu/~hoeij/files/X0N/Parametrization http://www.math.uwaterloo.ca/~mrubinst/modularpolynomials/phi_l.html http://dz-srv1.sub.uni-goettingen.de/sub/digbib/pdftermsconditions%3Fdid=D37958&p=297
sameAs	Classical modular curve Classical modular curve Classical modular curve Classical modular curve Classical modular curve Classical modular curve
dbp:wikiPageUsesTemplate	dbt:= dbt:Dead_link dbt:Math dbt:Mvar dbt:OEIS_el
thumbnail	wiki-commons:Special:FilePath/Modknot11.png?width=300
bot	InternetArchiveBot (en)
date	August 2017 (en)
fix-attempted	yes (en)
has abstract	En teoria de nombres, la corba modular clàssica és una corba algebraica plana irreductible definida per una equació Φn(x, y)=0, on per al j-invariant j(τ;), x=j(n τ), y=j(τ) és un punt en la corba. La corba s'anomena a vegades X0(n), tanmateix sovint això es fa servir per a la corba algebraica abstracta per a la qual hi ha diversos models. Un objecte relacionat és el polinomi modular clàssic, un polinomi d'una variable definida com a Φn(x, x). (ca) In number theory, the classical modular curve is an irreducible plane algebraic curve given by an equation Φn(x, y) = 0, such that (x, y) = (j(nτ), j(τ)) is a point on the curve. Here j(τ) denotes the j-invariant. The curve is sometimes called X0(n), though often that notation is used for the abstract algebraic curve for which there exist various models. A related object is the classical modular polynomial, a polynomial in one variable defined as Φn(x, x). It is important to note that the classical modular curves are part of the larger theory of modular curves. In particular it has another expression as a compactified quotient of the complex upper half-plane H. (en)
gold:hypernym	Curve
prov:wasDerivedFrom	wikipedia-en:Classical_modular_curve?oldid=1013180220&ns=0
page length (characters) of wiki page	9408 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Classical_modular_curve
is Link from a Wikipage to another Wikipage of	List of curves List of mathematical shapes Wiles's proof of Fermat's Last Theorem Zilber-Pink conjecture Modular group Modularity theorem Torsion conjecture Gallery of curves J-line Counting points on elliptic curves Modular curve Modular elliptic curve Schoof–Elkies–Atkin algorithm Classical modular polynomial
is Wikipage redirect of	Classical modular polynomial
is foaf:primaryTopic of	wikipedia-en:Classical_modular_curve

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 52 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software