English

La constante de Manin et le degr\'e modulaire d'une courbe elliptique

Number Theory 2018-05-07 v1

Abstract

We revisit the calculation of the strong Weil curve in an isogeny class of elliptic curves over Q, of the Manin constant and modular degree of an elliptic curve, using modular symbols as defined in [Pollack-Stevens], now implemented in Pari/GP. There is no innovation claim.

Keywords

Cite

@article{arxiv.1805.01622,
  title  = {La constante de Manin et le degr\'e modulaire d'une courbe elliptique},
  author = {Karim Belabas and Dominique Bernardi and Bernadette Perrin-Riou},
  journal= {arXiv preprint arXiv:1805.01622},
  year   = {2018}
}

Comments

20 pages, in French