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Elliptic curves
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#	Item
381	On the computation of Mordell-Weil and 2-Selmer Groups of Elliptic Curves J. E. Cremona 1 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:47 Analytic number theory Algebraic number theory Finite fields Group theory Equations Elliptic curve Quartic function Prime number Algebraic number field Abstract algebra Mathematics Algebra
382	Canonical models of Shimura curves J.S. Milne April 4, 2003, v0.0 Abstract As an introduction to Shimura varieties, and, in particular, to Deligne’s Bourbaki and Corvallis talks (Deligne 1971, 1979), I explain the main Add to Reading List Source URL: www.jmilne.org Language: English - Date: 2007-07-01 16:04:06 Lie groups Analytic number theory Modular forms Group theory Algebraic geometry Modular curve Congruence subgroup Shimura variety Elliptic curve Abstract algebra Algebra Geometry
383	Cover and Decomposition Index Calculus on Elliptic Curves made practical Application to a previously unreachable curve over Fp6 Vanessa VITSE – Antoine JOUX Universit´ Add to Reading List Source URL: www.iacr.org Language: English - Date: 2012-04-20 07:04:20 Finite fields Cryptography Logarithms Computational hardness assumptions Index calculus algorithm Elliptic curve cryptography Elliptic curve Discrete logarithm Calculus Abstract algebra Mathematics Group theory
384	A GENERALIZATION OF THE CONGRUENT NUMBER PROBLEM LARRY ROLEN Abstract. We study a certain generalization of the classical Congruent Number Problem. Specifically, we study integer areas of rational triangles with an arbit Add to Reading List Source URL: web.archive.org Language: English Analytic number theory Elliptic curves Triangle geometry Diophantine equations Congruent number Pythagorean triple Riemann hypothesis Prime number Infinite descent Mathematics Abstract algebra Number theory
385	ON TATE-SHAFAREVICH GROUPS OF SOME ELLIPTIC CURVES FRANZ LEMMERMEYER Abstract. Generalizing results of Stroeker and Top we show that the 2-ranks of the Tate-Shafarevich groups of the elliptic curves y 2 = (x + k)(x2 + k2 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:03 Symbol Quadratic reciprocity Μ operator Spectral theory of ordinary differential equations Mathematics Number theory Abstract algebra
386	Elliptic Curves and Complex Multiplication Michel Waldschmidt September 11, 2003 Saint-Etienne, May 1982 Notes by A. Faisant, R. Lardon, G. Philibert Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:09 Analytic number theory Elliptic functions Modular form Moduli theory Elliptic curve Complex multiplication Riemann surface Algebraic number field Constructible universe Abstract algebra Mathematical analysis Mathematics
387	Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-03-05 01:42:52 Finite fields Computer arithmetic Group theory Lenstra elliptic curve factorization Elliptic curves Elliptic curve Montgomery reduction Division ECM Records Abstract algebra Integer factorization algorithms Mathematics
388	Heegner Points and Rankin L-Series MSRI Publications Volume 49, 2004 Gross–Zagier Revisited BRIAN CONRAD Add to Reading List Source URL: library.msri.org Language: English - Date: 2004-04-18 13:57:15 Algebraic number theory Elliptic curves Group theory Algebraic structures Heegner point Divisor Algebraic number field Field Abelian variety Abstract algebra Algebra Field theory
389	HIGHER DESCENT ON PELL CONICS. III. THE FIRST 2-DESCENT FRANZ LEMMERMEYER In [Lem2003b] we have sketched the historical development of problems related to Legendre’s equations ar2 − bs2 = 1 and the associated Pell eq Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-16 09:11:03 Field theory Algebraic curves Analytic geometry Algebraic number theory Analytic number theory Elliptic curve Conic section Pythagorean triple Finite field Abstract algebra Geometry Mathematics
390	ACTA ARITHMETICA * (201) Integral points of a modular curve of level 11 by Add to Reading List Source URL: www.mat.uniroma2.it Language: English* - Date: 2012-03-24 10:18:02 Analytic number theory Modular forms Algebraic curves Elliptic curve Group theory Elliptic functions Modular curve J-invariant Hessian form of an elliptic curve Abstract algebra Mathematical analysis Mathematics

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