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Locally imprimitive points for elliptic curves

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Francesco Pappalardi (Rom) and Peter Stevenhagen (Leiden)
Tue, 12/12/2023 - 16:30 - 17:30
MPIM Seminar Room
Parent event: 
Number theory lunch seminar

We will discuss a joint ongoing project with F. Campagna and N. Jones.
It concerns points on elliptic curves over a number field with the property that the reduction of primes is never a generator for the reduced curve. Earlier work, conducted in part at MPIM, considered the case when the index of the reduction was always divisible by a fixed prime. The current project deals with other cases. The approach considers the affine representation modulo composite n on the 3 dimensional Z/nZ-vector space generated by the n--th roots of the points.


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