Francesco Campagna

activity

20192026

most citedEntanglement in the family of division fields of elliptic curves with complex multiplication

12 citations · 19 across the 9 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 1 cited

Ordinary isogeny graphs over $F_{p}$ : the inverse volcano problem

Henry Bambury, Francesco Campagna, Fabien Pazuki

We give a detailed presentation of $ℓ$ -isogeny graphs associated with ordinary elliptic curves defined over $F_{p}$ . We then focus on the following inverse problem: given…

math.NT2022★ 1 cited

Around the support problem for Hilbert class polynomials

Francesco Campagna, Gabriel Andreas Dill

Let $H_{D} (T)$ denote the Hilbert class polynomial of the imaginary quadratic order of discriminant $D$ . We study the rate of growth of the greatest common divisor of $H_{D} (a)$ and $H…

math.NT2022★ 2 cited

How big is the image of the Galois representations attached to CM elliptic curves?

Francesco Campagna, Riccardo Pengo

Using an analogue of Serre's open image theorem for elliptic curves with complex multiplication, one can associate to each CM elliptic curve $E$ defined over a number field $F$ a n…

Ordinary isogeny graphs over Fp​: the inverse volcano problem

Around the support problem for Hilbert class polynomials

How big is the image of the Galois representations attached to CM elliptic curves?

Ordinary isogeny graphs over $F_{p}$ : the inverse volcano problem