Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
type: Item
instance of: scholarly article
title: Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
zbMATH Open document ID: 1020.11043
DOI: 10.1090/S0025-5718-01-01320-5
author: Franck Leprévost
author: Edward F. Schaefer
author: William A. Stein
author: Michael Stoll
author: E. Victor Flynn
published in: Mathematics of Computation
publication date: 2001-07-05T00:00:00Z
Mathematics Subject Classification ID: 11G40
Mathematics Subject Classification ID: 11G10
Mathematics Subject Classification ID: 11G30
zbMATH DE Number: 1614806
zbMATH Keywords: Jacobians of genus 2 curves
zbMATH Keywords: Birch and Swinnerton-Dyer conjecture
zbMATH Keywords: Tate-Shafarevich group
Wikidata QID: Q123109371
describes a project that uses: ecdata
MaRDI profile type: Publication
cites work: Notes on elliptic curves. II.
cites work: Rational points of the group of components of a Néron model
cites work: Néron Models
cites work: On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises
cites work: On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3
cites work: Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
cites work: Q4876448
cites work: Abelian Varieties with Extra Twist, Cusp Forms, and Elliptic Curves Over Imaginary Quadratic Fields
cites work: Q4341641
cites work: Visualizing Elements in the Shafarevich—Tate Group
cites work: Q3972629
cites work: Canonical heights on the Jacobians of curves of genus 2 and the infinite descent
cites work: Heegner points and derivatives of \(L\)-series
cites work: Q4143433
cites work: Q2739460
cites work: Q3351513
cites work: Q4111656
cites work: Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
cites work: Curves of genus 2 with good reduction away from 2 with a rational Weierstrass point
cites work: Q3754095
cites work: The complete classification of fibres in pencils of curves of genus two
cites work: Q4342587
cites work: The Cassels-Tate pairing on polarized Abelian varieties
cites work: Q4875376
cites work: Q4317891
cites work: Q4868126
cites work: Implementing 2-descent for Jacobians of hyperelliptic curves
cites work: On the height constant for curves of genus two
cites work: On the height constant for curves of genus two, II
cites work: Sur les coefficients de Fourier des formes modulaires de poids demi-entier
full work available at URL: s0025-5718-01-01320-5
OpenAlex ID: W2073214093
description: scientific article; zbMATH DE number 1614806