On the topological aspects of arithmetic elliptic curves

Details On the topological aspects of arithmetic elliptic curves On the topological aspects of arithmetic elliptic curves

2011-05-04

arxiv.org/abs/1105.0850v2

Mathematics

Number Theory

Scientific paper

In this short note, we shall construct a certain topological family which
contains all elliptic curves over Q and, as an application, show that this
family provides some geometric interpretations of the Hasse-Weil L-function of
an elliptic curve over Q whose Mordell-Weil group is of rank $\leq1$.

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