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For an optimal modular parametrization 
$J_{0}(n){\twoheadrightarrow}E$ of an elliptic curve 
$E$ over 
$\mathbb{Q}$ of conductor 
$n$, Manin conjectured the agreement of two natural 
$\mathbb{Z}$-lattices in the 
$\mathbb{Q}$-vector space 
$H^{0}(E,\unicode[STIX]{x1D6FA}^{1})$. Multiple authors generalized his conjecture to higher-dimensional newform quotients. We prove the Manin conjecture for semistable 
$E$, give counterexamples to all the proposed generalizations, and prove several semistable special cases of these generalizations. The proofs establish general relations between the integral 
$p$-adic étale and de Rham cohomologies of abelian varieties over 
$p$-adic fields and exhibit a new exactness result for Néron models.
