Abstract

We compute the space [Formula: see text] of weight 2 Siegel paramodular cusp forms of squarefree level [Formula: see text]. In conformance with the paramodular conjecture of Brumer and Kramer, the space is only the additive (Gritsenko) lift space of the Jacobi cusp form space [Formula: see text] except for [Formula: see text], when it further contains one nonlift newform. For these two values of [Formula: see text], the Hasse–Weil [Formula: see text]-Euler factors of a relevant abelian surface match the spin [Formula: see text]-Euler factors of the nonlift newform for the first two primes [Formula: see text].

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