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Modular elliptic curve
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1	Introduction The present work grew out of an entirely unsuccessful attempt to answer some basic questions about elliptic curves over $. Start with an elliptic curve E over $, say given by a Weierstrass equation E: y2 = 4 Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2001-03-31 11:30:21 Mathematics Analytic number theory Number theory Mathematical analysis Elliptic curves Conjectures Diophantine geometry Millennium Prize Problems Birch and Swinnerton-Dyer conjecture Rank of an elliptic curve Modular form Riemann hypothesis
2	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:10:37 Algebra Mathematics Abstract algebra Modular forms Field theory Analytic number theory Operator theory Algebraic geometry Eigenform P-adic modular form Elliptic curve Valuation
3	1. Introduction 1.1. Background. L-functions and modular forms underlie much of twentieth century number theory and are connected to the practical applications of number theory in cryptography. The fundamental importance Add to Reading List Source URL: www.williamstein.org Language: English - Date: 2009-02-03 20:12:03 Mathematics Mathematical analysis Number theory Conjectures Analytic number theory Modular forms Riemann surfaces Millennium Prize Problems Riemann hypothesis Elliptic curve Langlands program L-function
4	Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008 Add to Reading List Source URL: iml.univ-mrs.fr Language: English - Date: 2014-09-16 07:00:22 Algebra Abstract algebra Geometry Abelian varieties Algebraic surfaces Analytic number theory Algebraic curves Group theory Humbert surface Modular form Elliptic curve Shimura variety
5	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:17:05 Algebra Mathematics Abstract algebra Operator theory Field theory Analytic number theory Modular forms Algebraic geometry Eigenform Elliptic curve Valuation Algebraic number field
6	Modular composition modulo triangular sets and applications ´ Adrien Poteaux† ? Eric Schost† Add to Reading List Source URL: www.csd.uwo.ca Language: English - Date: 2011-11-11 00:13:36 Mathematics Algebra Abstract algebra Computer algebra Polynomials Group theory Resultant Finite field Regular chain Elliptic curve Time complexity RSA
7	449 Documenta Math. The Supersingular Loci and Mass Formulas on Siegel Modular Varieties Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-12-21 17:41:44 Algebra Abstract algebra Supersingular elliptic curve Elliptic curve HasseWitt matrix Group scheme Symbol
8	577 Documenta Math. Computation of p-Adic Heights and Log Convergence In celebration of John Coates’ 60th birthday Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 17:49:13 Mathematics Abstract algebra Algebra Field theory Modular forms Algebraic geometry Valuation P-adic modular form Constructible universe P-adic number P-adic L-function Elliptic curve
9	Math. Ann. 262, Springer-Verlag 1983 Oscillations of Fourier Coefficients of Modular Forms M. Ram Murty Department of Mathematics. McGill University. 805 Sherbrooke Street, W., Montreal P.Q. Canada Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2013-08-08 16:47:30 Mathematics Mathematical analysis Algebra Analytic number theory Joseph Fourier Modular forms Fourier series Elliptic curve Field theory RamanujanPetersson conjecture Fundamental theorem of algebra Fourier transform
10	Preliminaries (what are modular curves) Modular Units Gonalities Gonalities of Modular Curves Maarten Derickx 1 Add to Reading List Source URL: www.cosic.esat.kuleuven.be Language: English - Date: 2013-09-19 10:38:43 Geometry Mathematics Abstract algebra Modular forms Analytic number theory Algebraic curves Riemann surfaces Elliptic curve Group theory Modular curve Curve Supersingular elliptic curve