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Given a Hecke operator which acts on the space of modular forms for SL$_2(\mathbb{Z})$$\mathrm{SL}_2(\mathbb{Z})$, are the eigenvalues necessarily distinct?
Given a Hecke operator which acts on the space of modular forms for SL$_2(\mathbb{Z})$, are the eigenvalues necessarily distinct?
Given a Hecke operator which acts on the space of modular forms for $\mathrm{SL}_2(\mathbb{Z})$, are the eigenvalues necessarily distinct?
