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

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Showing 2020Show all

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math.NT2020★ 12 cited

Entanglement in the family of division fields of elliptic curves with complex multiplication

Francesco Campagna, Riccardo Pengo

For every elliptic curve $E$ which has complex multiplication (CM) and is defined over a number field $F$ containing the CM field $K$ , we prove that the family of $p^{\infty}$ -divi…

math.NT2020

Cyclic reduction densities for elliptic curves

Francesco Campagna, Peter Stevenhagen

For an elliptic curve $E$ defined over a number field $K$ , the heuristic density of the set of primes of $K$ for which $E$ has cyclic reduction is given by an inclusion-exclusion s…