For a newspace we say that a set of Hecke operators distinguishes the newforms in the space if the sets of characteristic polynomials of the acting on the subspace spanned by the Galois orbit of in are distinct as ranges over (non-conjugate) newforms in .
The set can be identified by a list of primes . For convenience we restrict to primes that do not divide the level and list the unique ordered sequence of primes for which the sequence of integers defined by is strictly increasing. The length of the sequence is always less then the number of newforms in and we obtain the empty sequence when contains just one newform.
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- Last edited by Andrew Sutherland on 2024-03-15 16:13:31
- 2024-03-15 16:13:31 by Andrew Sutherland (Reviewed)
- 2019-01-30 16:52:59 by Andrew Sutherland (Reviewed)