Computing overconvergent forms for small primes

Autor: Vonk, Jan
Rok vydání: 2014
Předmět:
Zdroj: LMS J. Comput. Math. 18 (2015) 250-257
Druh dokumentu: Working Paper
DOI: 10.1112/S1461157015000042
Popis: In this note, we construct explicit bases for spaces of overconvergent $p$-adic modular forms when $p=2,3$ and study their stability under the Atkin operator. The resulting extension of the algorithms of Lauder is illustrated with computations of slope sequences of some $2$-adic eigencurves and the construction of Chow-Heegner points on elliptic curves via special values of Rankin triple product L-functions.
Databáze: arXiv