Elliptic curves

Results: 668



#Item
361Symbol / Analytic number theory / Elliptic curve / Group theory

Computing in component groups of elliptic curves John Cremona University of Warwick, UK ANTS VIII: Banff, 9 May 2008 1

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2008-09-03 10:49:05
362Group theory / Elliptic curves / Analytic number theory / Prime number / Diophantine equations / Euclidean algorithm / Counting points on elliptic curves / Mathematics / Abstract algebra / Number theory

ON THE DIOPHANTINE EQUATION x2 + 7 = y m SAMIR SIKSEK AND JOHN E. CREMONA Abstract. In this paper we study the equation x2 +7 = y m , in integers x, y, m with m ≥ 3, using a Frey curve and Ribet’s level lowering theo

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-06-26 05:45:45
363Number theory / Diophantine geometry / Elliptic curves / Analytic number theory / J-invariant / Algebraic number field / Birch and Swinnerton-Dyer conjecture / Schoof–Elkies–Atkin algorithm / Abstract algebra / Mathematics / Group theory

Finding all elliptic curves with good reduction outside a given set of primes John Cremona University of Nottingham, UK 6 September, 2005

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-06-26 05:45:46
364Analytic number theory / Elliptic curve / Group theory / Covering space / Locomotives of the London and North Eastern Railway / Abstract algebra / Topology / Mathematics

CYCLES OF COVERS E. V. FLYNN AND J. WUNDERLE Abstract. We initially consider an example of Flynn and Redmond, which gives an infinite family of curves to which Chabauty’s Theorem is not applicable, and which even resis

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Source URL: eprints.maths.ox.ac.uk

Language: English - Date: 2009-08-31 23:35:40
365Moduli theory / Analytic number theory / Algebraic curves / Niels Henrik Abel / Moduli space / Abelian variety / Shimura variety / Modular form / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 45–79 Purity of Stratifications of Shimura Varieties in

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Source URL: www.kurims.kyoto-u.ac.jp

Language: English - Date: 2010-06-05 19:29:02
366Algebraic number theory / Galois theory / Algebraic curves / Analytic number theory / Elliptic curve / Frobenius endomorphism / Finite field / Field extension / Supersingular elliptic curve / Abstract algebra / Algebra / Field theory

UNIFORM FIRST-ORDER DEFINITIONS IN FINITELY GENERATED FIELDS BJORN POONEN Abstract. We prove that there is a first-order sentence in the language of rings that is true for all finitely generated fields of characteristic

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Source URL: www-math.mit.edu

Language: English - Date: 2008-07-06 19:05:58
367Number 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
368Algebraic curves / Hyperelliptic curve cryptography / Public-key cryptography / Hyperelliptic curve / Elliptic curve / Coprocessor / Multiplication / Abstract algebra / Cryptography / Mathematics

Finding Optimum Parallel Coprocessor Design for Genus 2 Hyperelliptic Curve Cryptosystems Guido Bertoni and Luca Breveglieri Politecnico di Milano, Italy {bertoni,breveglieri}@elet.polimi.it

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Source URL: www.thomas-wollinger.de

Language: English - Date: 2004-05-03 03:54:01
369Elliptic 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
370Number theory / Symbol / Elliptic curve / Néron–Tate height / Algebraic number field / XTR / Abstract algebra / Mathematics / Algebra

Height Difference Bounds For Elliptic Curves over Number Fields J. E. Cremona School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK.

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Source URL: homepages.warwick.ac.uk

Language: English - Date: 2006-06-26 05:45:45
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