Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q

From MaRDI portal
Publication:4736649

DOI10.1080/10586458.2001.10504442zbMath1045.11038OpenAlexW2037737946MaRDI QIDQ4736649

Christophe Delaunay

Publication date: 5 August 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222798




Related Items (29)

The distribution of sandpile groups of random graphsElements of prime order in Tate–Shafarevich groups of abelian varieties overON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy2=x3n3Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zeroThe Elkies curve has rank 28 subject only to GRHNumerical Investigations Related to the Derivatives of theL-Series of Certain Elliptic CurvesOn a Cohen-Lenstra heuristic for Jacobians of random graphsUniversality of the cokernels of random 𝑝-adic Hermitian matricesArithmetic statistics and Diophantine stability for elliptic curvesJoint distribution of the cokernels of random \(p\)-adic matricesAverages of groups involving \(p^{\ell}\)-rank and combinatorial identitiesDatabases of elliptic curves ordered by height and distributions of Selmer groups and ranks\(p^\ell\)-torsion points in finite abelian groups and combinatorial identitiesA probabilistic model for the distribution of ranks of elliptic curves over \(\mathbb{Q}\)MOMENTS OF THE ORDERS OF TATE–SHAFAREVICH GROUPSThe even parity Goldfeld conjecture: congruent number elliptic curvesDistribution of Selmer groups of quadratic twists of a family of elliptic curvesStatistics for Iwasawa invariants of elliptic curvesRandom partitions and Cohen-Lenstra heuristicsHeight of rational points on quadratic twists of a given elliptic curveProblems in arithmetic topologyMoments and interpretations of the Cohen-Lenstra-Martinet heuristicsA statistical view on the conjecture of Lang about the canonical height on elliptic curvesA heuristic for boundedness of ranks of elliptic curvesRandom maximal isotropic subspaces and Selmer groupsStatistics of \(K\)-groups modulo \(p\) for the ring of integers of a varying quadratic number fieldHow many rational points does a random curve have?The distribution of central values of elliptic curve \(L\)-functionsHall-Littlewood polynomials and Cohen-Lenstra heuristics for Jacobians of random graphs


Uses Software


Cites Work


This page was built for publication: Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q