English

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

Number Theory 2008-10-24 v1

Abstract

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).

Keywords

Cite

@article{arxiv.0810.4224,
  title  = {Modular elliptic directions with complex multiplication (with an application to Gross's elliptic curves)},
  author = {Josep Gonzalez and Joan-C. Lario},
  journal= {arXiv preprint arXiv:0810.4224},
  year   = {2008}
}

Comments

33 pages

R2 v1 2026-06-21T11:34:08.070Z