\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [2][-]{subsection.1.1}{Elliptic Curves over Q}{section.1}% 2
\BOOKMARK [2][-]{subsection.1.2}{Why Q\(5\)?}{section.1}% 3
\BOOKMARK [2][-]{subsection.1.3}{Modularity conjecture}{section.1}% 4
\BOOKMARK [1][-]{section.2}{Computing Hilbert modular forms over F}{}% 5
\BOOKMARK [1][-]{section.3}{Strategies for finding an elliptic curve attached to a Hilbert modular form}{}% 6
\BOOKMARK [2][-]{subsection.3.1}{Naive enumeration}{section.3}% 7
\BOOKMARK [2][-]{subsection.3.2}{Torsion families}{section.3}% 8
\BOOKMARK [2][-]{subsection.3.3}{Twisting}{section.3}% 9
\BOOKMARK [2][-]{subsection.3.4}{Curves with specified ap}{section.3}% 10
\BOOKMARK [2][-]{subsection.3.5}{Curves with good reduction outside S}{section.3}% 11
\BOOKMARK [2][-]{subsection.3.6}{Special values of twisted L-series}{section.3}% 12
\BOOKMARK [2][-]{subsection.3.7}{Congruence families}{section.3}% 13
\BOOKMARK [1][-]{section.4}{Enumerating the curves in an isogeny class}{}% 14
\BOOKMARK [1][-]{section.5}{Norm conductor 31}{}% 15
\BOOKMARK [1][-]{section.6}{Related future projects}{}% 16
\BOOKMARK [1][-]{section.7}{Tables}{}% 17
\BOOKMARK [2][-]{subsection.7.1}{Up to norm conductor 199}{section.7}% 18
\BOOKMARK [2][-]{subsection.7.2}{CM elliptic curves over F}{section.7}% 19
\BOOKMARK [2][-]{subsection.7.3}{Extended version only: up to norm conductor 1831}{section.7}% 20