The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Joint distribution for the Selmer ranks of the congruent number curves

Ilija S. Vrećica — 2020

Czechoslovak Mathematical Journal

We determine the distribution over square-free integers n of the pair ( dim 𝔽 2 Sel Φ ( E n / ) , dim 𝔽 2 Sel Φ ^ ( E n ' / ) ) , where E n is a curve in the congruent number curve family, E n ' : y 2 = x 3 + 4 n 2 x is the image of isogeny Φ : E n E n ' , Φ ( x , y ) = ( y 2 / x 2 , y ( n 2 - x 2 ) / x 2 ) , and Φ ^ is the isogeny dual to Φ .

Page 1

Download Results (CSV)