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If someone hands you a prime number $p$, and an algebraic number $x$ inside the Hasse-Weil bound, is there a modular formnormalized newform (say of weight two) so that $a_p=x$, where $a_p$ is the $p$th Fourier coefficient?
If someone hands you a prime number $p$, and an algebraic number $x$ inside the Hasse-Weil bound, is there a modular form (say of weight two) so that $a_p=x$?
If someone hands you a prime number $p$, and an algebraic number $x$ inside the Hasse-Weil bound, is there a normalized newform (say of weight two) so that $a_p=x$, where $a_p$ is the $p$th Fourier coefficient?
If someone hands you a prime number $p$, and an algebraic number $x$ inside the Hasse-Weil bound, is there a modular form (say of weight two) so that $a_p=x$?
