Notes on Mathematics (original) (raw)

Arithmetic on elliptic curves with complex multiplication. II

Benedict Gross

Inventiones Mathematicae, 1985

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Complex Multiplication Structure of Elliptic Curves

Hendrik Lenstra

Journal of Number Theory, 1996

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Arithmetic Theory of Elliptic Curves

Ralph Greenberg

Lecture Notes in Mathematics, 1999

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Cyclicity of CM elliptic curves modulo 𝑝

A.C. Cojocaru

Transactions of the American Mathematical Society, 2003

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Reduction of CM elliptic curves and modular function congruences

Ken Ono

International Mathematics Research Notices

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This paper was presented at a colloquium entitled “ Elliptic Curves and Modular Forms , ” organized by

Barry Mazur

1997

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Elliptic curves and class field theory

Barry Mazur

Arxiv preprint math/0304235, 2003

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On fields of definition of torsion points of elliptic curves with complex multiplication

Enrique Gonzalez Jimenez

Proceedings of the American Mathematical Society, 2010

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On the Construction of Prime Order Elliptic Curves

Christos Zaroliagis

Lecture Notes in Computer Science, 2003

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Modular curves and the eisenstein ideal

Barry Mazur

Publications mathĂ©matiques de l'IHÉS, 1977

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Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer

Lalli Sree

Inventiones Mathematicae, 1981

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J. Cryptol. DOI: 10.1007/s00145-009-9037-2 On the Efficient Generation of Prime-Order Elliptic Curves ∗

Aristides Kontogeorgis

2008

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Elliptic curves over the ring R

Abdelhakim Chillali

Boletim da Sociedade Paranaense de MatemĂĄtica

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A Note on Elliptic Curves and the Monogeneity of Rings of Integers

Philippe Cassou-Nogues

Journal of the London Mathematical Society, 2009

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Iwasawa theory for elliptic curves

Ralph Greenberg

Lecture Notes in Mathematics, 1999

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Arithmetic of Elliptic Curves

Victor Moll

Cambridge University Press eBooks, 1997

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On the independence of Heegner points on CM elliptic curves associated to distinct quadratic imaginary fields

Hatice ƞahinoğlu

Proceedings of the American Mathematical Society, 2012

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Elliptic curves with abelian division fields

Enrique Gonzalez Jimenez

Mathematische Zeitschrift, 2016

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Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

Elisavet Konstantinou, Aristides Kontogeorgis

2008

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CLASSIFICATION OF ELEMENTS IN ELLIPTIC CURVE OVER THE RING F q [Δ]

Bilel Selikh

Discussiones Mathematicae General Algebra and Applications, 2021

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On the Ό-invariant of p-adic L-functions attached to elliptic curves with complex multiplication

Leila Schneps

Journal of Number Theory, 1987

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An analogue of cyclotomic units for products of elliptic curves

Ramesh Sreekantan

2001

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On the Efficient Generation of Prime-Order Elliptic Curves

Christos Zaroliagis

Journal of Cryptology, 2010

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The p-adic L-functions of modular elliptic curves

Henri Darmon


 Unlimited–2001 and Beyond, Engquist, Schmid, 
, 2001

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Arithmetic of elliptic curves upon quadratic extension

Kenneth Kramer

Transactions of the American Mathematical Society, 1981

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Modularity of a family of elliptic curves

Kenneth Kramer

Mathematical Research Letters, 1995

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On the anticyclotomic main conjecture for CM fields

Jacques Tilouine

Inventiones Mathematicae, 1994

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A Geometric Approach to Elliptic Curves with Torsion Groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z

Maksym Voznyy, Norbert Hungerbühler

2021

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Central values of Hecke LLL -functions of CM number fields

Fernando Villegas

Duke Mathematical Journal

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Beilinson's Theorem on Modular Curves

Norbert Schappacher

Beilinson's Conjectures on Special Values of L-Functions, 1988

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An Introduction to the Theory of Elliptic Curves

Reza Mostafid

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p -adic Rankin L -series and rational points on CM elliptic curves

Kartik Prasanna, Massimo Bertolini, Henri Darmon

Pacific Journal of Mathematics, 2012

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Iwasawa’s Main Conjecture for elliptic curves over anticyclotomic â„€ p -extensions

Henri Darmon

Annals of Mathematics, 2005

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Modular invariant and good reduction of elliptic curves

Salvador Comalada

Mathematische Annalen, 1992

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Eta-quotients and elliptic curves

Ken Ono

Proceedings of the American Mathematical Society

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