Average rank of quadratic twists with a rational point of almost minimal height
Author:
Affiliation:
1. Department of Mathematics University of Toronto Toronto ON Canada
Funder
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12635
Reference26 articles.
1. M.BhargavaandA.Shankar The average number of elements in the 4‐Selmer groups of elliptic curves is 7(2013) arXiv:1312.7333.
2. M.BhargavaandA.Shankar The average size of the 5‐Selmer group of elliptic curves is 6 and the average rank is less than 1(2013) arXiv:1312.7859.
3. Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
4. Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
5. On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
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