The quaternionic bridge between elliptic curves and Hilbert modular forms

The quaternionic bridge between elliptic curves and Hilbert modular forms

<p>The main result of this thesis is a matching between an elliptic curve E over F = Q(√509) which has good reduction everywhere, and a normalized holomorphic Hilbert modular eigenform f for F of weight 2 and full level. The curve E is not F-isogenous to its Galois conjugate E^σ and does no...

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Bibliographic Details
Main Author: Socrates, Jude Thaddeus U.
Format: Others
Language:en
Published: 1993
Online Access:https://thesis.library.caltech.edu/7376/2/Socrates_jtu_1993.pdf
Socrates, Jude Thaddeus U. (1993) The quaternionic bridge between elliptic curves and Hilbert modular forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/eb59-wy92. https://resolver.caltech.edu/CaltechTHESIS:01082013-084908017 <https://resolver.caltech.edu/CaltechTHESIS:01082013-084908017>

Internet

https://thesis.library.caltech.edu/7376/2/Socrates_jtu_1993.pdf
Socrates, Jude Thaddeus U. (1993) The quaternionic bridge between elliptic curves and Hilbert modular forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/eb59-wy92. https://resolver.caltech.edu/CaltechTHESIS:01082013-084908017 <https://resolver.caltech.edu/CaltechTHESIS:01082013-084908017>

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