Determination of elliptic curves by their adjoint p-adic L-functions

Maria Monica Nastasescu

doi:10.1016/j.jnt.2014.12.012

Determination of elliptic curves by their adjoint p-adic L-functions

Maria Monica Nastasescu^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article

1 Scopus citations

Abstract

Fix p an odd prime. Let E be an elliptic curve over Q with semistable reduction at p. We show that the adjoint p-adic L-function of E evaluated at infinitely many integers prime to p completely determines up to a quadratic twist the isogeny class of E. To do this, we prove a result on the determination of isobaric representations of GL(3,AQ) by certain L-values of p-power twists.

Original language	English (US)
Pages (from-to)	156-181
Number of pages	26
Journal	Journal of Number Theory
Volume	152
DOIs	https://doi.org/10.1016/j.jnt.2014.12.012
State	Published - Jul 1 2015

Keywords

Elliptic curve
L-function
P-adic L-function

ASJC Scopus subject areas

Algebra and Number Theory

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Nastasescu, M. M. (2015). Determination of elliptic curves by their adjoint p-adic L-functions. Journal of Number Theory, 152, 156-181. https://doi.org/10.1016/j.jnt.2014.12.012

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