arXiv Analytics

Sign in

arXiv:1612.08432 [math.NT]AbstractReferencesReviewsResources

Modular forms constructed from moduli of elliptic curves, with applications to explicit models of modular curves

Kamal Khuri-Makdisi

Published 2016-12-26Version 1

These are the lecture notes from my portion of a mini-course for the summer school "Building Bridges 3" that was held in Sarajevo during July 2016. My lectures covered the Katz definition of modular forms, a family of forms defined from this perspective and their relation to Eisenstein series, and methods of finding explicit models of modular curves. The treatment is purely expository, and the results are mostly standard, although a few points of view may not be as widely known as they deserve to be.

Comments: amslatex, 16 pages, expository lecture notes from BB3 summer school on automorphic forms and related topics, Sarajevo, July 2016
Categories: math.NT
Subjects: 11F11, 14G35
Related articles: Most relevant | Search more
arXiv:0708.4042 [math.NT] (Published 2007-08-30)
Moments of the critical values of families of elliptic curves, with applications
arXiv:math/0506461 [math.NT] (Published 2005-06-22, updated 2005-11-30)
Variation in the number of points on elliptic curves and applications to excess rank
arXiv:math/0112137 [math.NT] (Published 2001-12-13, updated 2006-05-04)
Expansions of Theta Functions and Applications

Links

Toolbox