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

Mon, 16/04/201814:00-15:00
Room 70A, Ross Building, Jerusalem, Israel
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.