# NT&AG: Linda Frey (University of Basel), "Explicit Small Height Bound for Q(E_tor)"

Let E be an elliptic curve defined over Q. We will show that there exists an explicit constant C which is only dependent on the conductor and the j-invariant of E such that the absolute logarithmic Weil height of an $\alpha \in Q(E_tor)^*\setminus \mu_\infty$ is always greater than C where E_tor denotes all the torsion points of E and $\mu_\infty$ are the roots of unity.

## Date:

Mon, 16/04/2018 - 14:00 to 15:00

## Location:

Room 70A, Ross Building, Jerusalem, Israel