𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A family of elliptic curves of large rank

✍ Scribed by Thomas Occhipinti


Book ID
113731105
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
167 KB
Volume
132
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Average Analytic Rank of a Family of
✍ L. Mai πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 333 KB

This paper studies the family of elliptic curves \(E_{m}: X^{3}+Y^{3}=m\) where \(m\) is a cubefree integer. Assuming the Generalized Rieman Hypothesis, the average rank of \(E_{m}\) 's with even analytic rank is proved to be \(\leqslant 5 / 2\), asymptotically. We also obtain some results for the c

Rank ofK2of elliptic curves
✍ QingZhong Ji; HouRong Qin πŸ“‚ Article πŸ“… 2009 πŸ› SP Science China Press 🌐 English βš– 271 KB