Revistes Catalanes amb Accés Obert (RACO)

Thetanullwerte: from periods to good equations

J. Guàrdia

Resum


We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of
families of elliptic curves with everywhere good reduction.

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