On $p$-adic analytic families of Galois representations

We explore the question of how big the image of a Galois representation attached to a $Λ$ -adic modular form with no complex multiplication is and show that for a “generic” set of $Λ$ -adic modular forms (normalized, ordinary eigenforms with no complex multiplication), all have a large image.

On $p$ -adic geometric representations of $G_{ℚ}$ .

Wintenberger, J.-P. (2007)

Documenta Mathematica

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Kubert-lang units and elliptic curves without complex multiplication

Michael Harris (1980)

Compositio Mathematica

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