J. Cremona

activity

20062023

most citedMinimisation and reduction of 2-, 3- and 4-coverings of elliptic curves

51 citations · 209 across the 18 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.NT2013★ 2 cited

The proportion of plane cubic curves over $Q$ that everywhere locally have a point

Manjul Bhargava, John Cremona, Tom Fisher

We show that the proportion of plane cubic curves over $Q_{p}$ that have a $Q_{p}$ -rational point is a rational function in $p$ , where the rational function is inde…

math.NT2013★ 2 cited

What is the probability that a random integral quadratic form in $n$ variables is isotropic?

Manjul Bhargava, John Cremona, Tom Fisher

We show that the density of quadratic forms in $n$ variables over $Z_{p}$ that are isotropic is a rational function in $p$ , where the rational function is independent of $p…

math.NT2013★ 19 cited

Tetrahedral Elliptic Curves and the local-global principle for Isogenies

Barinder Singh Banwait, John Cremona

We study the failure of a local-global principle for the existence of $l$ -isogenies for elliptic curves over number fields $K$ . Sutherland has shown that over $Q$ there is…

The proportion of plane cubic curves over Q that everywhere locally have a point

What is the probability that a random integral quadratic form in n variables is isotropic?

Tetrahedral Elliptic Curves and the local-global principle for Isogenies

The proportion of plane cubic curves over $Q$ that everywhere locally have a point

What is the probability that a random integral quadratic form in $n$ variables is isotropic?