On the computation of local components of a newform

  title={On the computation of local components of a newform},
  author={David Loeffler and Jared Weinstein},
  journal={Math. Comput.},
  • David Loeffler, Jared Weinstein
  • Published in Math. Comput. 2012
  • Mathematics, Computer Science
  • The problem. Let f be a cuspidal newform for Γ1(N) with weight k ≥ 2 and character e. There are well-established methods for computing such forms using modular symbols; see [Ste07]. Let πf be the corresponding automorphic representation of the adele group GL2(AQ). 

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