On modular representations of Gal (.../Q) arising from modular forms.

K.A. Ribet

Displaying similar documents to “On modular representations of Gal (.../Q) arising from modular forms.”

On the finiteness of $S h$ for motives associated to modular forms.

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The weight in Serre's conjectures on modular forms.

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Modular Curves and the Class Group of Q(...p).

Andrew Wiles (1980)

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Modular Decent and the Saito-Kurokawa Conjecture.

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On values of a modular form on Γ₀(N)

D. Choi (2006)

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Modular parametrizations of certain elliptic curves

Matija Kazalicki, Koji Tasaka (2014)

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Kaneko and Sakai (2013) recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a particular differential equation involving modular forms and Ramanujan-Serre differential operator. In this paper, we study certain properties of the modular parametrization associated to the elliptic curves over ℚ, and as a consequence we generalize and explain some of their findings. ...

Computations of Galois representations associated to modular forms of level one

Peng Tian (2014)

Acta Arithmetica

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We propose an improved algorithm for computing mod ℓ Galois representations associated to a cusp form f of level one. The proposed method allows us to explicitly compute the case with ℓ = 29 and f of weight k = 16, and the cases with ℓ = 31 and f of weight k = 12,20,22. All the results are rigorously proved to be correct. As an example, we will compute the values modulo 31 of Ramanujan's tau function at some huge primes up to a sign. Also we will give an improved...