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\contentsline {table}{\numberline {1.1}{\ignorespaces Odd invisible $|\unhbox \voidb@x \hbox {\cyr X}_E|>1$, all $N\leq 5500$ (from Table\nobreakspace {}1 of\nobreakspace {}\cite {cremona-mazur})}}{12}
\contentsline {table}{\numberline {1.2}{\ignorespaces Shafarevich-Tate groups at prime level. (The entries in the columns ``mod deg'' and ``$\#\unhbox \voidb@x \hbox {\cyr X}_{\unhbox \voidb@x \hbox {\fontsize 6{7pt}\selectfont \rm an}}$'' are only really the odd parts of ``mod deg'' and ``$\#\unhbox \voidb@x \hbox {\cyr X}_{\unhbox \voidb@x \hbox {\fontsize 6{7pt}\selectfont \rm an}}$''.)}}{15}
\contentsline {table}{\numberline {1.3}{\ignorespaces New visible Shafarevich-Tate groups}}{16}
\contentsline {table}{\numberline {1.4}{\ignorespaces Explanatory factors}}{17}
\contentsline {table}{\numberline {1.5}{\ignorespaces Factorizations}}{17}
\contentsline {table}{\numberline {1.6}{\ignorespaces Component groups}}{18}
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\addvspace {10\p@ }
\contentsline {table}{\numberline {3.1}{\ignorespaces Volumes associated to level one cusp forms.}}{68}
\contentsline {table}{\numberline {3.2}{\ignorespaces CM elliptic curves of weight $>2$.}}{69}
\contentsline {table}{\numberline {3.3}{\ignorespaces Volumes of higher dimensional abelian varieties.}}{69}
\addvspace {10\p@ }
\contentsline {table}{\numberline {4.1}{\ignorespaces Component groups at low level}}{84}
\contentsline {table}{\numberline {4.2}{\ignorespaces Big $L(A,1)/\Omega _A$}}{85}
\contentsline {table}{\numberline {4.3}{\ignorespaces Big component groups}}{85}
\contentsline {table}{\numberline {4.4}{\ignorespaces Component groups of quotients of $J_0(N)$}}{86}
\contentsline {table}{\numberline {4.5}{\ignorespaces Component groups of quotients of $J_0(p)^{-}$ }}{87}