The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point
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Publication:347462
DOI10.1186/s40687-014-0015-4zbMath1349.11094arXiv1406.6745OpenAlexW2163575161WikidataQ59401283 ScholiaQ59401283MaRDI QIDQ347462
Robert J. Lemke Oliver, Zev Klagsbrun
Publication date: 30 November 2016
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.6745
Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52)
Related Items (5)
THE DISTRIBUTION OF 2‐SELMER RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH PARTIAL TWO‐TORSION ⋮ Ranks, 2\-Selmer groups, and Tamagawa numbers of elliptic curves with \(\mathbb{Z} /2\mathbb{Z} \times \mathbb{Z} /8\mathbb{Z}\)-torsion ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ The number of quartic 𝐷₄-fields with monogenic cubic resolvent ordered by conductor ⋮ Binary quartic forms with bounded invariants and small Galois groups
Cites Work
- Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
- The probability theory of additive arithmetic functions
- The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
- Descent via isogeny on elliptic curves with large rational torsion subgroups
- THE DISTRIBUTION OF 2‐SELMER RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH PARTIAL TWO‐TORSION
- Local invariants of isogenous elliptic curves
- Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
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