Modular elliptic curve

Results: 187



#Item
121Elliptic curves / Algebraic curves / Analytic number theory / Group theory / Diophantine geometry / Modular curve / Canonical bundle / Torsion tensor / Mordell–Weil theorem / Abstract algebra / Geometry / Mathematics

Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory

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Source URL: www.math.harvard.edu

Language: English - Date: 2013-11-03 12:11:28
122Elliptic curves / Algebraic topology / Field theory / Abelian variety / Group scheme / Formal group / Rational point / Supersingular elliptic curve / Frobenius endomorphism / Abstract algebra / Algebraic number theory / Algebraic groups

GROSS-ZAGIER REVISITED BRIAN CONRAD Contents 1. Introduction 2. Some properties of abelian schemes and modular curves

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Source URL: math.stanford.edu

Language: English - Date: 2004-08-10 16:48:34
123Analytic number theory / Finite fields / Modular forms / Elliptic curves / Modular arithmetic / Prime number / Lenstra elliptic curve factorization / Hessian form of an elliptic curve / Abstract algebra / Mathematics / Group theory

Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents

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Source URL: www.nsa.gov

Language: English - Date: 2010-11-08 09:26:06
124Scheme theory / Elliptic curves / Algebraic surfaces / Analytic number theory / Algebraic geometry and analytic geometry / Group scheme / Abelian variety / Curve / Supersingular elliptic curve / Abstract algebra / Algebraic geometry / Geometry

MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD 1. Introduction 1.1. Motivation. In the original work of Katz on p-adic modular forms [Kz], a key insight is the use of Lubin’s work on canonical subgroups in 1-par

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Source URL: math.stanford.edu

Language: English - Date: 2006-01-19 19:29:21
125Moduli theory / Scheme theory / Analytic number theory / Algebraic curves / Algebraic stack / Category theory / Elliptic curve / Modular form / Group scheme / Abstract algebra / Algebraic geometry / Geometry

ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that

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Source URL: math.stanford.edu

Language: English - Date: 2006-07-17 20:14:44
126Analytic number theory / Elliptic curve / Group theory / Fourier series / Dirichlet character / Symbol / Conjectures / Modular forms / Generalized Riemann hypothesis / Abstract algebra / Mathematical analysis / Mathematics

More applications of multiple Dirichlet series Gautam Chinta Bretton Woods, NH 13 July 2005

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-06-09 18:39:10
127Integer sequences / Modular arithmetic / Group theory / Analytic number theory / Elliptic curve / Primality test / Coprime / Prime number / Carmichael number / Mathematics / Abstract algebra / Number theory

INFINITUDE OF ELLIPTIC CARMICHAEL NUMBERS AARON EKSTROM, CARL POMERANCE and DINESH S. THAKUR (September 25, 2011)

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2011-09-27 14:35:17
128Modular forms / Analytic number theory / Elliptic functions / Riemann surfaces / Algebraic curves / J-invariant / Theta function / Congruence subgroup / Classical modular curve / Abstract algebra / Mathematical analysis / Mathematics

MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi

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Source URL: math.stanford.edu

Language: English - Date: 2006-03-08 11:36:50
129Modular arithmetic / Algebraic number theory / Quadratic residue / Finite groups / Coprime / Cyclic group / Elliptic curve / Quadratic reciprocity / Factorial / Mathematics / Abstract algebra / Number theory

ON BALANCED SUBGROUPS OF THE MULTIPLICATIVE GROUP CARL POMERANCE AND DOUGLAS ULMER In memory of Alf van der Poorten A BSTRACT. A subgroup H of (Z/dZ)× is called balanced if every coset of H is evenly distributed between

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-09-20 13:20:49
130Analytic number theory / Galois theory / Field theory / Heegner point / Elliptic curve / Modular form / Galois module / Quadratic field / Class field theory / Abstract algebra / Algebra / Algebraic number theory

Tobias Berger Title: An Eisenstein ideal for imaginary quadratic fields Abstract: For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an Eisenstein ideal in a Hecke algebra acting on cus

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Source URL: math.bu.edu

Language: English - Date: 2004-10-11 17:37:59
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