Can you give an a non-trivial example of an integer weight cusp form which does not lie in the old subspace and it has $a_p=0$ for all primes $p$?
If such a form cannot exist then why?
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Modular forms with prime Fourier coefficients zeroCan you give an example of an integer weight cusp form which does not lie in the old subspace and it has $a_p=0$ for all primes $p$? If such a form cannot exist then why?
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