% 3/19/90
%
% slide experiments
\message{(Don't forget to magnify right!)}
\magnification\magstep2
\global\overfullrule0pt
\input curves.sty
\input values.sty
\def\endpage{\vfill\eject}
\nopagenumbers
\vsize = 5.0 truein
\hsize = 4.0 truein
\hoffset = 1.0 truein
\voffset = 1.5 truein
\message{(Beginning first page)}
$$
E\qquad\hbox{an elliptic curve defined over \Q}
$$
\vfill
$$
y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6
$$
\vfill
$$
b_2=a_1^2+4a_2\qquad b_4=a_1a_3+2a_4\qquad b_6=a_3^2+4a_6
$$
\endpage

$$\vbox{\offinterlineskip
\hrule
\halign{\vrule#&\strut\quad#\hfil\quad&#\vrule\,\vrule&%
&\quad\hfil#\hfil\quad\vrule\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&\cr
&Rank && 0 & 1 & 2 & 3 & 4 & 5\cr
\noalign{\hrule}
\noalign{\vskip 2pt}
\noalign{\hrule}
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&\cr
&$\Delta>0$&&\rankzeropos&\rankonepos&\ranktwopos&\rankthreepos%
 &\rankfourpos&\rankfivepos\cr
&$\Delta<0$&&\rankzeroneg&\rankoneneg&\ranktwoneg&\rankthreeneg%
 &\rankfourneg&\rankfiveneg\cr
height2pt&\omit&&&&&&&\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
\noalign{\hrule}
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&\cr
&Totals&&\rankzero&\rankone&\ranktwo&\rankthree%
 &\rankfour&\rankfive\cr
&Percents&&\rankzeropct&\rankonepct&\ranktwopct&\rankthreepct%
 &\rankfourpct& \rankfivepct\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr}
height2pt&\omit&&&&&&&\cr}
\hrule}
$$
\message{(Don't forget to magnify right!)}
\bye