Page 1

Displaying 1 – 2 of 2

Showing per page

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 .

Currently displaying 1 – 2 of 2

Page 1