λ-invariant stability in families of modular Galois representations

2022/07/05 by Hatley, Jeffrey, Kundu, Debanjana · 1 citation
#11F11 #11R18 (secondary) #11R23 (primary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.02280

Abstract

Consider a family of modular forms of weight 2, all of whose residual \pmodp Galois representations are isomorphic. It is well-known that their corresponding Iwasawa λ-invariants may vary. In this paper, we study this variation from a quantitative perspective, providing lower bounds on the frequency with which these λ-invariants grow or remain stable.

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• Iwasawa Theory of Elliptic Curves in Quadratic Twist Families

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