Amod Agashe

collaborators

3 papers

math.NT2026

The index of a certain quotient of the Hecke algebra in its normalization

Amod Agashe

Let $I^$ be a congruence subgroup of $S L_{2} (Z)$ , and let $f$ be a normalized eigenform of weight $k$ on $I^$ . Let $K$ denote the number field generated over $Q$ by the Fourier coeff…

math.NT2025

Reducibility and rational torsion in modular abelian varieties

Amod Agashe, Matthew Winters

Let N be a square-free positive integer and let f be a newform of weight 2 on Î_0(N). Let A denote the abelian subvariety of J_0(N) associated to f and let m be a maximal ideal of…

math.NT2025

The Modular number, Congruence number, and Multiplicity One

Amod Agashe

Let N be a positive integer and let f be a newform of weight 2 on Î_0(N). In earlier joint work with K. Ribet and W. Stein, we introduced the notions of the modular number and the…