Ordered by max(|A|,|B|), elliptic curves have average rank at most 1.5, proved via a new semi-invariant counting argument for binary quartic forms.
Cremona.Algorithms for modular elliptic curves
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
method 1
citation-polarity summary
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1roles
method 1polarities
use method 1representative citing papers
citing papers explorer
-
Boundedness of average rank of elliptic curves ordered by the coefficients
Ordered by max(|A|,|B|), elliptic curves have average rank at most 1.5, proved via a new semi-invariant counting argument for binary quartic forms.