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Birch and Swinnerton-Dyer conjecture
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21	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 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-12-14 12:01:45 Number theory Group theory Elliptic curves Diophantine geometry Elliptic curve Birch and Swinnerton-Dyer conjecture Curve Prime number XTR Abstract algebra Mathematics Finite fields
22	Elliptic curves, L-functions, and CM-points Shou-Wu Zhang Department of Mathematics Columbia University New York, NY[removed]July 11, 2002 Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2002-07-11 03:42:56 Elliptic 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
23	The elliptic curve database for conductors to[removed]John Cremona School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK. [removed] Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-07-31 09:42:40 Elliptic 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
24	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. Dramatis Personae: Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-18 04:50:24 Conic 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
25	AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-10-07 12:17:34 Analytic 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
26	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 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic 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
27	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-17 18:14:51 Conic 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
28	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 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-10-20 07:52:34 Number theory Analytic number theory Elliptic curves Group theory Birch and Swinnerton-Dyer conjecture Congruent number Exponentiation Angle Curve Mathematics Abstract algebra Geometry
29	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic 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
30	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 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-01-15 10:57:31 Elliptic 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