The Manin constant in the semistable case
The Manin constant in the semistable case
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 $E$ …