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- Conductor_of_an_elliptic_curve abstract "In mathematics, the conductor of an elliptic curve over the field of rational numbers, or more generally a local or global field, is an integral ideal analogous to the Artin conductor of a Galois representation. It is given as a product of prime ideals, together with associated exponents, which encode the ramification in the field extensions generated by the points of finite order in the group law of the elliptic curve. The primes involved in the conductor are precisely the primes of bad reduction of the curve: this is the Néron–Ogg–Shafarevich criterion.Ogg's formula expresses the conductor in terms of the discriminant and the number of components of the special fiber over a local field, which can be computed using Tate's algorithm.".
- Conductor_of_an_elliptic_curve wikiPageExternalLink INDEX.html.
- Conductor_of_an_elliptic_curve wikiPageExternalLink item?id=PMIHES_1964__21__5_0.
- Conductor_of_an_elliptic_curve wikiPageExternalLink index.html.
- Conductor_of_an_elliptic_curve wikiPageExternalLink 142261.
- Conductor_of_an_elliptic_curve wikiPageID "43604164".
- Conductor_of_an_elliptic_curve wikiPageLength "7459".
- Conductor_of_an_elliptic_curve wikiPageOutDegree "26".
- Conductor_of_an_elliptic_curve wikiPageRevisionID "667803869".
- Conductor_of_an_elliptic_curve wikiPageWikiLink American_Journal_of_Mathematics.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Annals_of_Mathematics.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Artin_conductor.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Category:Elliptic_curves.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Discriminant.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Elliptic_curve.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Field_extension.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Global_field.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Inventiones_Mathematicae.
- Conductor_of_an_elliptic_curve wikiPageWikiLink J-invariant.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Local_field.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Néron_model.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Néron–Ogg–Shafarevich_criterion.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Prime_ideal.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Publications_Mathxc3xa9matiques_de_lIHxc3x89S.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Ramification_(mathematics).
- Conductor_of_an_elliptic_curve wikiPageWikiLink Rational_number.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Ring_of_integers.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Tates_algorithm.
- Conductor_of_an_elliptic_curve wikiPageWikiLink Torsion_(algebra).
- Conductor_of_an_elliptic_curve wikiPageWikiLinkText "Ogg's formula".
- Conductor_of_an_elliptic_curve wikiPageWikiLinkText "conductor of an elliptic curve".
- Conductor_of_an_elliptic_curve wikiPageWikiLinkText "conductor".
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Citation.
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Cite_book.
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Cite_journal.
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Empty_section.
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Harvtxt.
- Conductor_of_an_elliptic_curve wikiPageUsesTemplate Template:Reflist.
- Conductor_of_an_elliptic_curve subject Category:Elliptic_curves.
- Conductor_of_an_elliptic_curve comment "In mathematics, the conductor of an elliptic curve over the field of rational numbers, or more generally a local or global field, is an integral ideal analogous to the Artin conductor of a Galois representation. It is given as a product of prime ideals, together with associated exponents, which encode the ramification in the field extensions generated by the points of finite order in the group law of the elliptic curve.".
- Conductor_of_an_elliptic_curve label "Conductor of an elliptic curve".
- Conductor_of_an_elliptic_curve sameAs Q18206146.
- Conductor_of_an_elliptic_curve sameAs m.011q3jnn.
- Conductor_of_an_elliptic_curve sameAs Q18206146.
- Conductor_of_an_elliptic_curve wasDerivedFrom Conductor_of_an_elliptic_curve?oldid=667803869.
- Conductor_of_an_elliptic_curve isPrimaryTopicOf Conductor_of_an_elliptic_curve.