Let $f\in S^\text{new}_k(Γ_0(N))$ be a $\text{newform}$ . If I know $a_p(f)=0$, then what is $a_{p^2}(f)$? Is it zero or some power (in terms of weight k) of $p$? Thank you for any help.
2026-04-01 02:55:04.1775012104
On Fourier coefficients of a newform.
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