Selmer groups of elliptic curves that can be arbitrarily large.
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Publication:1869815
DOI10.1016/S0022-314X(02)00054-9zbMath1074.11032OpenAlexW2040373773MaRDI QIDQ1869815
Remke Kloosterman, Edward F. Schaefer
Publication date: 28 April 2003
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00054-9
Related Items (13)
The \(p\)-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large ⋮ The growth of fine Selmer groups ⋮ Examples of non-simple abelian surfaces over the rationals with non-square order Tate-Shafarevich group ⋮ The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k ⋮ Potential \(\text Ш\) for abelian varieties ⋮ Unnamed Item ⋮ Arbitrarily large Tate-Shafarevich group on abelian surfaces ⋮ Construction of elliptic curves with large Iwasawa \(\lambda\)-invariants and large Tate-Shafarevich groups ⋮ Descent via isogeny on elliptic curves with large rational torsion subgroups ⋮ On a conjecture of Agashe ⋮ Large Selmer groups over number fields ⋮ A conjecture of Gross and Zagier: Case E(ℚ)tor≅ℤ/3ℤ ⋮ Arbitrarily large 2-torsion in Tate–Shafarevich groups of abelian varieties
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- Die Ordnung der Schafarewitsch‐Tate‐Gruppe kann beliebig groß werden
- How to do a 𝑝-descent on an elliptic curve
- Arithmetic on Curves of genus 1. VI. The Tate-Safarevic group can be arbitrarily large.
- Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
- Some examples of 5 and 7 descent for elliptic curves over \(\mathbb{Q}\)
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