Elliptic geometry

Results: 397



#Item
171Mathematics / Triangle geometry / Proofs involving the Moore–Penrose pseudoinverse / Pythagorean theorem / Analytic number theory / Elliptic curve / Group theory

On the torsion group of elliptic curves induced by D(4)-triples Andrej Dujella and Miljen Miki´c Abstract A D(4)-m-tuple is a set of m integers such that the product of

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Source URL: bib.irb.hr

Language: English - Date: 2013-10-08 15:27:22
172Circle / Polar coordinate system / Arrangement of lines / Logarithm / Elliptic curve / Intersection number / Geometry / Curves / Inverse curve

Region Counting Circles Jean Cardinal∗§ S´ebastien Collette†§ sirable properties such as connectivity, planarity or triangle freeness.

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Source URL: www.cccg.ca

Language: English - Date: 2005-07-31 13:55:55
173Number 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
174Elliptic 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
175Elliptic curve / Group theory / Topology / Number theory / Curve / Mathematics / Geometry / Analytic number theory

ON THE RANK OF ELLIPTIC CURVES COMING FROM RATIONAL DIOPHANTINE TRIPLES JULIÁN AGUIRRE, ANDREJ DUJELLA, AND JUAN CARLOS PERAL Abstract. We construct a family of Diophantine triples {c1 (t), c2 (t), c3 (t)} such that the

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Source URL: bib.irb.hr

Language: English - Date: 2010-04-16 13:40:09
176Elliptic curves / Analytic number theory / Curvature / Differential geometry / Abelian varieties / Torsion subgroup / Torsion / Mordell–Weil theorem / Modular form / Abstract algebra / Mathematics / Mathematical analysis

Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank Mirela Juki´c Bokun Abstract For each of the torsion groups Z/2Z⊕Z/10Z, Z/2Z⊕Z/12Z, Z/15Z

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Source URL: bib.irb.hr

Language: English - Date: 2014-07-23 10:55:12
177Elliptic 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
178Number theory / Elliptic curve / Group theory / W2 / Integer triangle / W postcode area / Néron–Tate height / Heronian triangle / W4 / Mathematics / Geometry / Analytic number theory

ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:54:38
179Algebraic topology / Vector bundles / Birational geometry / Abelian varieties / Ample line bundle / Divisor / Minimal model program / Elliptic curve / Cone of curves / Abstract algebra / Algebraic geometry / Algebra

arXiv:alg-geom/9712019v1 17 Dec 1997

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Source URL: arxiv.org

Language: English - Date: 2013-02-14 11:28:05
180Elliptic curves / Curvature / Differential geometry / Finite fields / Group theory / Lenstra elliptic curve factorization / Torsion of a curve / Torsion subgroup / Nagell–Lutz theorem / Abstract algebra / Geometry / Mathematics

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization Andrej Dujella and Filip Najman Abstract In this paper, we present several methods for construction of ellipti

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Source URL: bib.irb.hr

Language: English - Date: 2012-01-17 08:42:03
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