Computing the level of a modular rigid Calabi-Yau threefold.

Dieulefait, Luis V.

Displaying similar documents to “Computing the level of a modular rigid Calabi-Yau threefold.”

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...

The Way to the Proof of Fermat’s Last Theorem

Gerhard Frey (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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Rational elliptic curves are modular

Bas Edixhoven (1999-2000)

Séminaire Bourbaki

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

K.A. Ribet (1990)

Inventiones mathematicae

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Dihedral Galois representations and Katz modular forms.

Wiese, Gabor (2004)

Documenta Mathematica

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Modularity of fibres in rigid local systems.

Darmon, Henri (1999)

Annals of Mathematics. Second Series

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New examples of modular rigid Calabi-Yau threefolds.

Matthias Schütt (2004)

Collectanea Mathematica

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The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.

The weight in Serre's conjectures on modular forms.

Bas Edixhoven (1992)

Inventiones mathematicae

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

Besser, Amnon (1997)

Documenta Mathematica

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The modular characters of the twisted Chevalley group 2D4(2) over GF2.

Ibrahim A. I. Suleiman (1995)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we calculate the 2-modular character table of the twisted Chevalley group 2D4(2) using computer techniques available in an algebra package called Meat-Axe. This package is now available in Mu'tah University as well as other universities such as Birmingham University in the UK and Aachen University in Germany. The determination of this character table will be a contribution to modular calculations of various simple groups.