STNB2024(37a edició)

On the Galois representation attached to the curve $y^6=x^3(1-x)(1-tx)$

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Ariel Pacetti

Resum

In this talk we will prove that for any value of $t$ different from 0,1, the Galois representation attached to the new part of the curve $y^6=x^3(1-x)(1-tx)$ is isomorphic to the tensor product of a CM elliptic curve times a weight one modular form.

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