2016
Apr
21

# Number Theory: Benjamin Matschke (University of Bordeaux) "A database of rational elliptic curves with given bad reduction"

2:00pm to 3:15pm

## Location:

TBA

In this talk we present a database of rational elliptic curves with

good reduction outside certain finite sets of primes, including the

set {2, 3, 5, 7, 11}, and all sets whose product is at most 1000.

In fact this is a biproduct of a larger project, in which we construct

practical algorithms to solve S-unit, Mordell, cubic Thue, cubic

Thue--Mahler, as well as generalized Ramanujan--Nagell equations, and

to compute S-integral points on rational elliptic curves with given

Mordell--Weil basis.

good reduction outside certain finite sets of primes, including the

set {2, 3, 5, 7, 11}, and all sets whose product is at most 1000.

In fact this is a biproduct of a larger project, in which we construct

practical algorithms to solve S-unit, Mordell, cubic Thue, cubic

Thue--Mahler, as well as generalized Ramanujan--Nagell equations, and

to compute S-integral points on rational elliptic curves with given

Mordell--Weil basis.