head	1.3;
access;
symbols;
locks; strict;
comment	@% @;


1.3
date	98.05.06.13.50.51;	author cremona;	state Exp;
branches;
next	1.2;

1.2
date	98.04.09.15.44.27;	author cremona;	state Exp;
branches;
next	1.1;

1.1
date	96.11.21.14.56.03;	author cremona;	state Exp;
branches;
next	;


desc
@Original for 2nd edition as delivered to CUP 20/11/96
@


1.3
log
@display \varphi\colon X_0(N)\to E_f to avoid overfull hbox
@
text
@%
%  TABLE 5
%
\input book.def
\advance\pageno by\chaponepages
\advance\pageno by\chaptwopages
\advance\pageno by\appendixpages
\advance\pageno by\chapthreepages
\advance\pageno by\chapfourpages
\advance\pageno by\tabonepages
\advance\pageno by\tabtwopages
\advance\pageno by\tabthreepages
\advance\pageno by\tabfourpages
%
\topmatter
\title\chapter\nofrills{Table 5} Parametrization degrees\endtitle
\endtopmatter
\document
%\openup2pt
\raggedbottom

This table shows, for each newform $f$, the degree of the modular
parametrization $$\varphi\colon X_0(N)\to E_f.$$  The corresponding
curve in each case is the ``strong Weil'' curve in its isogeny class,
which is the first curve in its class\footnote{except class 990H as
before, where it is the curve 990H3.}.  In each case the prime
factorization of the degree is also shown.

\vfill\eject
\eightpoint
\advance\vsize by 13pt
\catcode`\@@=11
\def\rightheadline{\hfill TABLE 5: DEGREES
\firstc--\lastc\hfill \llap{\folio}} 
\def\leftheadline{\rlap{\folio} \hfill TABLE 5: DEGREES \firstc--\lastc
\hfill}
\headline={\def\chapter#1{}%\chapterno@@. }%
  \def\\{\unskip\space\ignorespaces}\headlinefont@@
  \ifodd\pageno \rightheadline \else \leftheadline\fi}
\catcode`\@@=\active

%
%  MACROS FOR THE TABLE
%
\newdimen\tabwidth
\tabwidth\hsize
\divide\tabwidth by4
\advance\tabwidth by-5pt

\def\gap{\omit&height2pt&&&&&&&\cr}
\def\entry#1#2#3#4{&&#1&&#2&#3&#4&&\cr}

\def\topline{\noalign{\hrule}\gap}
\def\hline{\gap\noalign{\hrule}\gap}
\def\botline{\gap\noalign{\hrule}}
%
\newbox\atab
\newbox\btab
\newbox\ctab
\newbox\dtab
%
\def\settable#1{\offinterlineskip
\halign to\tabwidth{
\strut##&\vrule##\tabskip3pt plus1fil minus 2.5pt &     % left border
##\hfil&##\vrule&                                       % curve
\hfil$##$&$##$&$##$\hfil&##\hfil&                       % degree
\vrule\tabskip0pt##&##\cr                               % right border
\noalign{\hrule}
\gap
&&{\hfil curve}&&\multispan3\hfill\hbox{degree}\hfill&&\cr
\gap         
\noalign{\hrule}
\gap   
#1                % body of table
\botline
}                 % end of \halign
}                 % end of \def\settable
%
\def\setatab#1{\setbox\atab\vtop{\settable{#1}}}
\def\setbtab#1{\setbox\btab\vtop{\settable{#1}}}
\def\setctab#1{\setbox\ctab\vtop{\settable{#1}}}
\def\setdtab#1{\setbox\dtab\vtop{\settable{#1}}}
%
\def\tablepage#1,#2-#3.{
                        \vfill
                 \line{\box\atab\hfill\box\btab\hfill\box\ctab\hfill\box\dtab}
                        \def\firstc{#2}\def\lastc{#3}
                        \vfill
                        \eject
                       }
%
%
%  END OF TABLE 5 DEFS
%
\input table5.dat
\enddocument
@


1.2
log
@Corrected running heads to say Table 5 and not Table 2
@
text
@d23 1
a23 1
parametrization $\varphi\colon X_0(N)\to E_f$.  The corresponding
@


1.1
log
@Initial revision
@
text
@d33 1
a33 1
\def\rightheadline{\hfill TABLE 2: DEGREES
d35 1
a35 1
\def\leftheadline{\rlap{\folio} \hfill TABLE 2: DEGREES \firstc--\lastc
@