Birch and Swinnerton-Dyer conjecture

Results: 91



#Item
21Number theory / Group theory / Elliptic curves / Diophantine geometry / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Curve / Prime number / XTR / Abstract algebra / Mathematics / Finite fields

Finding all elliptic curves with good reduction outside a given set of primes J. E. Cremona and M. P. Lingham Abstract We describe an algorithm for determining elliptic curves defined over a given number field with a giv

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-12-14 12:01:45
22Elliptic curves / Algebraic curves / Analytic number theory / Abelian varieties / Modular forms / Heegner point / Birch and Swinnerton-Dyer conjecture / Modular elliptic curve / Modularity theorem / Abstract algebra / Algebraic geometry / Mathematics

Elliptic curves, L-functions, and CM-points Shou-Wu Zhang Department of Mathematics Columbia University New York, NY[removed]July 11, 2002

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Source URL: www.math.columbia.edu

Language: English - Date: 2002-07-11 03:42:56
23Elliptic curves / Analytic number theory / Modular forms / Group theory / Conjectures / Heegner point / Modular elliptic curve / Mwrank / Birch and Swinnerton-Dyer conjecture / Abstract algebra / Mathematics / Algebraic geometry

The elliptic curve database for conductors to[removed]John Cremona School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK. [removed]

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-07-31 09:42:40
24Conic sections / Curves / Number theory / Analytic geometry / Analytic number theory / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Néron–Tate height / Parabola / Geometry / Abstract algebra / Algebraic geometry

CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. Dramatis Personae: Conics and Elliptic Curves

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2005-05-18 04:50:24
25Analytic number theory / Number theory / Symbol / Modular form / Artin reciprocity law / Elliptic curve / Algebraic number field / Birch and Swinnerton-Dyer conjecture / Gelfand pair / Abstract algebra / Mathematics / Mathematical analysis

AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-10-07 12:17:34
26Analytic number theory / Number theory / Group theory / Elliptic curve / Modular forms / Finite fields / Birch and Swinnerton-Dyer conjecture / Algebraic number field / Complex multiplication / Abstract algebra / Mathematics / Mathematical analysis

CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:29
27Conic sections / Number theory / Algebraic curves / Analytic number theory / Curves / Elliptic curve / Birch and Swinnerton-Dyer conjecture / Degenerate conic / Modular form / Geometry / Algebraic geometry / Abstract algebra

CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-11-17 18:14:51
28Number theory / Analytic number theory / Elliptic curves / Group theory / Birch and Swinnerton-Dyer conjecture / Congruent number / Exponentiation / Angle / Curve / Mathematics / Abstract algebra / Geometry

ON THE HIGH RANK π/3 AND 2π/3-CONGRUENT NUMBER ELLIPTIC CURVES A. S. JANFADA, S. SALAMI, A. DUJELLA, AND J. C. PERAL Abstract. Consider the elliptic curves given by

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:52:34
29Elliptic curves / Abelian varieties / Finite fields / Diophantine geometry / Analytic number theory / Mordell–Weil theorem / Elliptic function / Victor S. Miller / Birch and Swinnerton-Dyer conjecture / Abstract algebra / Mathematics / Algebraic geometry

Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA

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Source URL: www.iacr.org

Language: English - Date: 2007-06-12 08:54:49
30Elliptic curves / Algebraic curves / Number theory / Abelian varieties / Diophantine geometry / Birch and Swinnerton-Dyer conjecture / Twists of curves / Mordell–Weil theorem / Division polynomials / Abstract algebra / Algebraic geometry / Mathematics

RANKS OF ELLIPTIC CURVES WITH PRESCRIBED TORSION OVER NUMBER FIELDS JOHAN BOSMAN, PETER BRUIN, ANDREJ DUJELLA, AND FILIP NAJMAN Abstract. We study the structure of the Mordell–Weil group of elliptic curves over number

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Source URL: bib.irb.hr

Language: English - Date: 2013-01-15 10:57:31
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