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- W4301454114 abstract "The well-known fact that all elliptic curves are modular, proven by Wiles, Taylor, Breuil, Conrad and Diamond, leaves open the question whether there exists a 'nice' representation of the modular form associated to each elliptic curve. Here we provide explicit representations of the modular forms associated to certain Legendre form elliptic curves 2_E_1({lambda}) as linear combinations of quotients of Dedekind's eta-function. We also give congruences for some of the modular forms' coefficients in terms of Gaussian hypergeometric functions." @default.
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- W4301454114 date "2012-02-01" @default.
- W4301454114 modified "2023-09-27" @default.
- W4301454114 title "Elliptic Curves, eta-quotients, and hypergeometric functions" @default.
- W4301454114 doi "https://doi.org/10.48550/arxiv.1202.0337" @default.
- W4301454114 hasPublicationYear "2012" @default.
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