\relax 
\bibstyle{amsalpha}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\citation{antwerpiv}
\citation{cremona:algs}
\citation{breuil-conrad-diamond-taylor}
\citation{cremona:onlinetables}
\citation{stein-watkins:ants5}
\citation{bmsw:bulletins}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{2}{section.1}}
\newlabel{sec:intro}{{1}{2}{Introduction\relax }{section.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Elliptic Curves over $\mathbb  {Q}$}{2}{subsection.1.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Why $\mathbb  {Q}(\sqrt  {5})$?}{2}{subsection.1.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Modularity conjecture}{2}{subsection.1.3}}
\newlabel{sec:mod}{{1.3}{2}{Modularity conjecture\relax }{subsection.1.3}{}}
\newlabel{conj:mod}{{1.1}{2}{Modularity\relax }{theorem.1.1}{}}
\citation{cremona:algs}
\@writefile{toc}{\contentsline {section}{\numberline {2}Computing Hilbert modular forms over $F$}{3}{section.2}}
\newlabel{sec:hmf}{{2}{3}{Computing Hilbert modular forms over $F$\relax }{section.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Strategies for finding an elliptic curve attached to a Hilbert modular form}{3}{section.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Naive enumeration}{3}{subsection.3.1}}
\newlabel{sec:naive}{{3.1}{3}{Naive enumeration\relax }{subsection.3.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Torsion families}{3}{subsection.3.2}}
\newlabel{sec:torsion}{{3.2}{3}{Torsion families\relax }{subsection.3.2}{}}
\citation{silverman:aec2}
\bibdata{biblio}
\bibcite{breuil-conrad-diamond-taylor}{BCDT01}
\bibcite{antwerpiv}{BK75}
\bibcite{bmsw:bulletins}{BMSW07}
\bibcite{cremona:onlinetables}{Cre}
\bibcite{cremona:algs}{Cre97}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Twisting}{4}{subsection.3.3}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Curves with specified $a_\mathfrak  {p}$}{4}{subsection.3.4}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.5}Curves with good reduction outside $S$}{4}{subsection.3.5}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.6}Special values of twisted $L$-series}{4}{subsection.3.6}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.7}Congruence families}{4}{subsection.3.7}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Enumerating the curves in an isogeny class}{4}{section.4}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Norm conductor $31$}{4}{section.5}}
\newlabel{sec:31}{{5}{4}{Norm conductor $31$\relax }{section.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Related future projects}{4}{section.6}}
\newlabel{sec:future}{{6}{4}{Related future projects\relax }{section.6}{}}
\@writefile{toc}{\contentsline {section}{\numberline {7}Tables}{4}{section.7}}
\newlabel{sec:tables}{{7}{4}{Tables\relax }{section.7}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Up to norm conductor $199$}{4}{subsection.7.1}}
\newlabel{sec:to199}{{7.1}{4}{Up to norm conductor $199$\relax }{subsection.7.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.2}CM elliptic curves over $F$}{4}{subsection.7.2}}
\newlabel{sec:cm}{{7.2}{4}{CM elliptic curves over $F$\relax }{subsection.7.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {7.3}Extended version only: up to norm conductor $1831$}{4}{subsection.7.3}}
\newlabel{sec:to1831}{{7.3}{4}{Extended version only: up to norm conductor $1831$\relax }{subsection.7.3}{}}
\bibcite{silverman:aec2}{Sil94}
\bibcite{stein-watkins:ants5}{SW02}
