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Speaker:

Antonella Perucca
Affiliation:

Universität Regensburg
Date:

Wed, 2017-03-15 14:15 - 15:15
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Consider an elliptic curve E defined over a number field K, and some rational point R of infinite order. For every

prime p of K (of good reduction for E), the reduction of R modulo p is a torsion point. The order of these torsion

points gives a sequence of natural numbers that determines the curve and the point up to isomorphism. We fix some

prime number l and investigate how likely it is that the order of (R mod p) is coprime to l. In particular, we will

present some new results which are joint work with Davide Lombardo.

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