• Corpus ID: 3212102

Modularity of some elliptic curves over totally real fields

@article{Hung2014ModularityOS,
  title={Modularity of some elliptic curves over totally real fields},
  author={Bao Viet Le Hung},
  journal={arXiv: Number Theory},
  year={2014}
}
  • B. V. L. Hung
  • Published 16 September 2013
  • Mathematics
  • arXiv: Number Theory
We investigate modularity of elliptic curves over a general totally real number field, establishing a finiteness result for the set non-modular $j$-invariants. By analyzing quadratic points on some modular curves, we show that all elliptic curves over certain real quadratic fields are modular. 

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