scientific article; zbMATH DE number 203001
From MaRDI portal
Publication:4694935
zbMath0791.11026MaRDI QIDQ4694935
Publication date: 16 June 1993
Full work available at URL: http://www.numdam.org/item?id=CM_1993__87_2_119_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
On central L-values and the growth of the 3-part of the Tate–Shafarevich group ⋮ Elliptic curves with all cubic twists of the same root number ⋮ Clusters, inertia, and root numbers ⋮ Non-isotrivial elliptic surfaces with non-zero average root number ⋮ On the root numbers of abelian varieties with real multiplication ⋮ On the equation \(y^2=x(x - 2^m)(x+q - 2^m)\) ⋮ Density of positive rank fibers in elliptic fibrations ⋮ Elliptic curves with conductor having $n$ prime factors ⋮ On the rank of the fibers of elliptic \(K3\) surfaces ⋮ Root number in Integer parameter families of elliptic curves ⋮ Rank gain of Jacobians over number field extensions with prescribed Galois groups ⋮ On the rank of cubic and quartic twists of elliptic curves by primes ⋮ Constant root number on integer fibres of elliptic surfaces ⋮ Root numbers and parity phenomena ⋮ Root number of twists of an elliptic curve ⋮ Change of root numbers of elliptic curves under extension of scalars ⋮ Mazur's conjecture and an unexpected rational curve on Kummer surfaces and their superelliptic generalisations ⋮ On the variation of the root number in families of elliptic curves ⋮ Point générique et saut du rang du groupe de Mordell–Weil ⋮ Rational \(D(q)\)-quintuples ⋮ Comparing local constants of ordinary elliptic curves in dihedral extensions ⋮ Ranks of Abelian varieties over infinite extensions of the rationals ⋮ Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 ⋮ Some examples of 5 and 7 descent for elliptic curves over \(\mathbb{Q}\) ⋮ On the Birch-Swinnerton-Dyer quotients modulo squares ⋮ Computing the average root number of an elliptic surface ⋮ Unnamed Item ⋮ On a conjecture of Agashe ⋮ On the density of rational points on rational elliptic surfaces ⋮ Paramodular forms coming from elliptic curves ⋮ Unnamed Item ⋮ Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve ⋮ On the change of root numbers under twisting and applications ⋮ On the product of twists of rank two and a conjecture of Larsen ⋮ Explicit root numbers of abelian varieties ⋮ Root numbers and ranks in positive characteristic ⋮ Explicit determination of root numbers of abelian varieties ⋮ Triply imprimitive representations of GL(2) ⋮ Computing rational points on rank 1 elliptic curves via $L$-series and canonical heights ⋮ A divisibility related to the Birch and Swinnerton-Dyer conjecture ⋮ Calculating root numbers of elliptic curves over \(\mathbb{Q}\) ⋮ The Cassels-Tate pairing and the Platonic solids. ⋮ Elliptic curves with few bad primes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Torsion points on elliptic curves with given j-invariant
- On the local Langlands conjecture for GL(2)
- Determinants of representations of finite groups
- The parity of the rank of the Mordell-Weil group
- Good reduction of abelian varieties
- Galois properties of points of finite order of elliptic curves
- On the functional equation of the Artin L-function for characters of real representations
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- Les Constantes des Equations Fonctionnelles des Fonctions L
- Nonvanishing of L-functions and structure of Mordell-Weil groups.
- Selmer's Conjecture and Families of Elliptic Curves
- Good reduction of elliptic curves in abelian extensions.
- Elliptic Curves Over the Rationals with Bad Reduction at Only one Prime
- Correspondances de Shimura et quaternions
- The Square-Free Sieve and the Rank of Elliptic Curves
- Diophantine Equations with Special Reference To Elliptic Curves
- Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
- A conjecture concerning rational points on cubic curves