Óscar Rivero Salgado and Victor Rotger Cerda
We will sketch the proof of Venkatesh’s conjecture for dihedral weight one forms, focussing on the case where $g$ is the theta series of a Hilbert class character of an imaginary quadratic field $K$. The main tools are Mazur’s classical results on the Eisenstein ideal and Merel-Lecouturier’s theory of higher Eisenstein elements.
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