We discuss the-adic case of Mazur's 'Program B'over: the problem of classifying the possible
images of-adic Galois representations attached to elliptic curves E over, equivalently …

We investigate the distribution of degrees and rationality fields of weight 2 newforms. In
particular, we give heuristic upper bounds on how often degree $ d $ rationality fields occur …

Let $ A $ be an abelian surface over $\mathbb {Q} $ whose geometric endomorphism ring is
a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic …

In this paper, we prove the existence of an efficient algorithm for the computation of systems
of Hecke eigenvalues of modular forms of weight k and level Γ, where Γ⊆ SL 2 (ℤ) is an …

A database of paramodular forms from quinary orthogonal modular forms Page 254
Contemporary Mathematics Volume 796 , 2024 https://doi. org/10.1090/conm/796/16004 A …

For a genus 2 curve C over Q whose Jacobian A admits only trivial geometric
endomorphisms, Serre's open image theorem for abelian surfaces asserts that there are …

We present a database of several hundred modular forms up to and including weight six on
noncongruence subgroups of index $\leq 17$. In addition, our database contains …

We present and discuss an algorithm and its implementation that is capable of directly
determining Fourier expansions of any vector-valued modular form of weight at least $2 …

We provide examples of abelian surfaces over number fields K whose reductions at almost
all good primes possess an isogeny of prime degree ℓ ℓ rational over the residue field, but …

In this paper, we characterize the vanishing of twisted central $ L $-values attached to
newforms of square-free level in terms of so-called local polynomials and the action of …