Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves)

Details Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves) Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves)

2008-10-23

arxiv.org/abs/0810.4224v1

Mathematics

Number Theory

33 pages

Scientific paper

For every normalized newform f in S_2(Gamma_1(N)) with complex
multiplication, we study the modular parametrizations of elliptic curves C from
the abelian variety A_f. We apply the results obtained when C is Gross's
elliptic curve A(p).

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