Algorithms for the arithmetic of elliptic curves using Iwasawa theory (Q2840630)

scientific article; zbMATH DE number 6190133

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English	Algorithms for the arithmetic of elliptic curves using Iwasawa theory	scientific article; zbMATH DE number 6190133

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instance of

scholarly article

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title

Algorithms for the arithmetic of elliptic curves using Iwasawa theory (English)

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published in

Mathematics of Computation

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publication date

23 July 2013

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describes a project that uses

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The Manin constant. (With an appendix by J. Cremona)

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Visibility of Shafarevich-Tate groups of abelian varieties.

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The Magma algebra system. I: The user language

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Q3931545

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Q3142940

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A proof of the Mahler-Manin conjecture

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Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.

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Explicit n-descent on elliptic curves, I. Algebra

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Explicit n-descent on elliptic curves, II. Geometry

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The Tate-Shafarevich group for elliptic curves with complex multiplication

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The Tate-Shafarevich group for elliptic curves with complex multiplication. II

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Galois cohomology of elliptic curves

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On the $p$-adic Birch, Swinnerton-Dyer conjecture for non-semistable reduction

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Computing Special Values of MotivicL-Functions

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Q3972629

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Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves

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Q4702588

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Introduction to Iwasawa theory for elliptic curves

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$p$-adic $L$-functions and $p$-adic periods of modular forms

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On the Iwasawa invariants of elliptic curves

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Efficient Computation of p-Adic Heights

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Iwasawa L-functions for multiplicative abelian varieties

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Q4831110

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Algorithmic Number Theory

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Iwasawa theory for elliptic curves at supersingular primes

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Q4012045

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On the structure of Selmer groups

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Rational points of Abelian varieties with values in towers of number fields

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Arithmetic of Weil curves

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Computation of $p$-adic heights and log convergence

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The $p$-adic sigma function

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On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer

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On the $p$-adic $L$-function of a modular form at a supersingular prime

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Infinite descent and $p$-adic heights over elliptic curves with complex multiplication

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Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner

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$p$-adic $L$-functions of an elliptic curve and rational points

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Iwasawa theory of $p$-adic representations over a local field

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Arithmétique des courbes elliptiques à réduction supersingulière enp

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The main conjecture for CM elliptic curves at supersingular primes

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On $L$-functions of elliptic curves and cyclotomic towers

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Lectures on Serre's conjectures.

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Euler Systems

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p-adic height pairings. I

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$p$-adic height pairings. II

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Galois properties of points of finite order of elliptic curves

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Computing the Rank of Elliptic Curves over Number Fields

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Local heights on Abelian varieties and rigid analytic uniformization

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ON ${p}$-ADIC HEIGHTS IN FAMILIES OF ELLIPTIC CURVES

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Iwasawa theory of the fine Selmer group

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full work available at URL

https://doi.org/10.1090/s0025-5718-2012-02649-4

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author

William Stein

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Christian Wuthrich

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Identifiers

zbMATH Open document ID

1336.11047

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DOI

10.1090/S0025-5718-2012-02649-4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2840630