A. Shnidman

activity

20122026

most citedThe average size of the 3-isogeny Selmer groups of elliptic curves

y^{2} = x^{3} + k

23 citations · 108 across the 30 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 23 cited

The average size of the 3-isogeny Selmer groups of elliptic curves $y^{2} = x^{3} + k$

Manjul Bhargava, Noam Elkies, Ari Shnidman

The elliptic curve $E_{k} : y^{2} = x^{3} + k$ admits a natural 3-isogeny $ϕ_{k} : E_{k} \to E_{- 27 k}$ . We compute the average size of the $ϕ_{k}$ -Selmer group as $k$ varies over the…

math.NT2016★ 4 cited

Extensions of CM elliptic curves and orbit counting on the projective line

Julian Rosen, Ariel Shnidman

There are several formulas for the number of orbits of the projective line under the action of subgroups of $G L_{2}$ . We give an interpretation of two such formulas in terms of the g…

The average size of the 3-isogeny Selmer groups of elliptic curves y2=x3+k

Extensions of CM elliptic curves and orbit counting on the projective line

The average size of the 3-isogeny Selmer groups of elliptic curves $y^{2} = x^{3} + k$