Benjamin York

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math.NT2026

The image of the adelic Galois representation of an elliptic curve with complex multiplication

Ãlvaro Lozano-Robledo, Benjamin York

Let $E / Q$ be an elliptic curve and let $I ¨ _{E} : Gal (Q / Q) \to GL (2, Z)$ be the adelic Galo…

math.NT2025

Models of CM elliptic curves with a prescribed $ℓ$ -adic Galois image

For each prime number $ℓ$ and for each imaginary quadratic order of class number one or two, we determine all the possible $ℓ$ -adic Galois representations that occur for any…

The image of the adelic Galois representation of an elliptic curve with complex multiplication

Models of CM elliptic curves with a prescribed ℓ-adic Galois image

Models of CM elliptic curves with a prescribed $ℓ$ -adic Galois image