This is TeX, Version 3.14159 (Web2C 7.3.1) (format=latex 2000.7.19)  22 JAN 2002 20:40
**\nonstopmode\input evidence3.tex
(evidence3.tex (mcom-l.cls
Document Class: mcom-l 1996/02/02 v1.2f MCOM Author Class
(/usr/share/texmf/tex/latex/amscls/amsart.cls
Document Class: amsart 2000/01/17 v2.03
\linespacing=\dimen102
\normalparindent=\dimen103
\normaltopskip=\skip41
(/usr/share/texmf/tex/latex/amsmath/amsmath.sty
Package: amsmath 2000/01/15 v2.05 AMS math features
\@mathmargin=\skip42

For additional information on amsmath, use the `?' option.
(/usr/share/texmf/tex/latex/amsmath/amstext.sty
Package: amstext 1999/11/15 v2.0

(/usr/share/texmf/tex/latex/amsmath/amsgen.sty
File: amsgen.sty 1999/11/30 v2.0
\@emptytoks=\toks14
\ex@=\dimen104
))
(/usr/share/texmf/tex/latex/amsmath/amsbsy.sty
Package: amsbsy 1999/11/29 v1.2d
\pmbraise@=\dimen105
)
(/usr/share/texmf/tex/latex/amsmath/amsopn.sty
Package: amsopn 1999/12/14 v2.01 operator names
)
\inf@bad=\count79
LaTeX Info: Redefining \frac on input line 198.
\uproot@=\count80
\leftroot@=\count81
LaTeX Info: Redefining \overline on input line 302.
\classnum@=\count82
\DOTSCASE@=\count83
LaTeX Info: Redefining \ldots on input line 376.
LaTeX Info: Redefining \dots on input line 379.
LaTeX Info: Redefining \cdots on input line 464.
\Mathstrutbox@=\box26
\strutbox@=\box27
\big@size=\dimen106
LaTeX Font Info:    Redeclaring font encoding OML on input line 563.
LaTeX Font Info:    Redeclaring font encoding OMS on input line 564.
\macc@skew=\dimen107
\c@MaxMatrixCols=\count84
\dotsspace@=\muskip10
\c@parentequation=\count85
\dspbrk@lvl=\count86
\tag@help=\toks15
\row@=\count87
\column@=\count88
\maxfields@=\count89
\andhelp@=\toks16
\eqnshift@=\dimen108
\alignsep@=\dimen109
\tagshift@=\dimen110
\tagwidth@=\dimen111
\totwidth@=\dimen112
\lineht@=\dimen113
\@envbody=\toks17
\multlinegap=\skip43
\multlinetaggap=\skip44
LaTeX Info: Redefining \[ on input line 2594.
LaTeX Info: Redefining \] on input line 2595.
)
LaTeX Font Info:    Try loading font information for U+msa on input line 395.

(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 1995/01/05 v2.2e AMS font definitions
)
(/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty
Package: amsfonts 1997/09/17 v2.2e
\symAMSa=\mathgroup4
\symAMSb=\mathgroup5
LaTeX Font Info:    Overwriting math alphabet `\mathfrak' in version `bold'
(Font)                  U/euf/m/n --> U/euf/b/n on input line 133.
)
\copyins=\insert233
\abstractbox=\box28
\listisep=\skip45
\c@part=\count90
\c@section=\count91
\c@subsection=\count92
\c@subsubsection=\count93
\c@paragraph=\count94
\c@subparagraph=\count95
\c@figure=\count96
\c@table=\count97
\abovecaptionskip=\skip46
\belowcaptionskip=\skip47
\captionindent=\dimen114
\thm@style=\toks18
\thm@bodyfont=\toks19
\thm@headfont=\toks20
\thm@notefont=\toks21
\thm@headpunct=\toks22
\thm@preskip=\skip48
\thm@postskip=\skip49
\thm@headsep=\skip50
\dth@everypar=\toks23
))
(/usr/share/texmf/tex/latex/amsmath/amscd.sty
Package: amscd 1999/11/29 v2.0
\athelp@=\toks24
\minaw@=\dimen115
\bigaw@=\dimen116
\minCDarrowwidth=\dimen117
)
\c@theorem=\count98
\c@question=\count99
\c@conj=\count100
 (evidence3.aux)
\openout1 = `evidence3.aux'.

LaTeX Font Info:    Checking defaults for OML/cmm/m/it on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for T1/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OT1/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OMS/cmsy/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OMX/cmex/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for U/cmr/m/n on input line 64.
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Checking defaults for OT2/cmr/m/n on input line 64.
LaTeX Font Info:    Try loading font information for OT2+cmr on input line 64.

(/usr/share/texmf/tex/latex/cyrillic/ot2cmr.fd
File: ot2cmr.fd 1999/06/24 v3.2b Computer Modern Cyrillic font definitions
)
LaTeX Font Info:    ... okay on input line 64.
LaTeX Font Info:    Try loading font information for U+msa on input line 64.

(/usr/share/texmf/tex/latex/amsfonts/umsa.fd
File: umsa.fd 1995/01/05 v2.2e AMS font definitions
)
LaTeX Font Info:    Try loading font information for U+msb on input line 64.

(/usr/share/texmf/tex/latex/amsfonts/umsb.fd
File: umsb.fd 1995/01/05 v2.2e AMS font definitions
)
Overfull \hbox (9.3417pt too wide) in paragraph at lines 126--137
[]\OT1/cmr/m/n/8 This pa-per pro-vides em-pir-i-cal ev-i-dence for the Birch an
d Swinnerton-
 []

LaTeX Font Info:    Try loading font information for OMS+cmr on input line 139.

(/usr/share/texmf/tex/latex/base/omscmr.fd
File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions
)
LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <6> not available
(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 139.
 [1]
LaTeX Font Info:    Try loading font information for OT2+wncyr on input line 18
6.

(/usr/share/texmf/tex/latex/cyrillic/ot2wncyr.fd
File: ot2wncyr.fd 1999/05/31 v3.2 Computer Modern Cyrillic font definitions
) [2]
Overfull \hbox (3.62999pt too wide) in paragraph at lines 279--301
[]\OT1/cmr/m/n/10 We now dis-cuss the pre-cise source of the genus 2 curves we 
will con-sider. Hasegawa
 []

[3]
Underfull \vbox (badness 10000) has occurred while \output is active []

 [4]
[5] [6] [7]
LaTeX Font Info:    Font shape `OMS/cmr/m/n' in size <10> not available
(Font)              Font shape `OMS/cmsy/m/n' tried instead on input line 622.

Overfull \hbox (45.86166pt too wide) in paragraph at lines 618--629
[]\OT1/cmr/m/n/10 There ex-ist sev-eral dis-cus-sions in the lit-er-a-ture on c
on-struct-ing the group $\OML/cmm/m/it/10 J\OT1/cmr/m/n/10 (\OT1/cmr/bx/n/10 Q[
]\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 =J[]\OT1/cmr/m/n/10 (\OT1/cmr/bx/n/10 Q[]\OT
1/cmr/m/n/10 )$
 []

[8]
Overfull \hbox (3.20824pt too wide) in paragraph at lines 752--755
[]\OT1/cmr/m/n/10 We have $\OML/cmm/m/it/10 x[] \OT1/cmr/m/n/10 = \OML/cmm/m/it
/10 x[]p$\OT1/cmr/m/n/10 , $\OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = \OML/cmm/m/it/
10 y[]p$\OT1/cmr/m/n/10 . We get $\OML/cmm/m/it/10 g[]\OT1/cmr/m/n/10 (\OML/cmm
/m/it/10 x[]; y[]; p\OT1/cmr/m/n/10 ) = \OML/cmm/m/it/10 p[]g[]\OT1/cmr/m/n/10 
(\OML/cmm/m/it/10 x[]p; y[]p; p\OT1/cmr/m/n/10 ) =
 []

[9]
Overfull \hbox (40.0pt too wide) in paragraph at lines 841--842
 [][] 
 []

[10]
Overfull \hbox (40.0pt too wide) in paragraph at lines 935--936
 [][] 
 []

[11] [12] [13]
Overfull \hbox (18.55241pt too wide) in paragraph at lines 1173--1182
[]\OT1/cmr/m/n/10 To com-pute the lead-ing co-ef-fi-cient of $\OML/cmm/m/it/10 
L\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 J; s\OT1/cmr/m/n/10 )$ at $\OML/cmm/m/it/10 
s \OT1/cmr/m/n/10 = 1$, we note that $[][] \OML/cmm/m/it/10 L\OT1/cmr/m/n/10 (\
OML/cmm/m/it/10 J; s\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 =\OT1/cmr/m/n/10 (\OML/cm
m/m/it/10 s \OMS/cmsy/m/n/10 ^^@
 []


Overfull \hbox (3.24788pt too wide) in paragraph at lines 1173--1182
\OT1/cmr/m/n/10 the $\OML/cmm/m/it/10 r \OT1/cmr/m/n/10 = 2$ case, we have $\OM
L/cmm/m/it/10 L[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 J; s\OT1/cmr/m/n/10 ) = \OML
/cmm/m/it/10 L[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 f; s\OT1/cmr/m/n/10 )\OML/cmm
/m/it/10 L\OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 ; s\OT1/cmr/m/n/10 ) + 2\OML/cmm/
m/it/10 L[]\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 f; s\OT1/cmr/m/n/10 )\OML/cmm/m/it
/10 L[]\OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 ; s\OT1/cmr/m/n/10 ) + \OML/cmm/m/it
/10 L\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 f; s\OT1/cmr/m/n/10 )\OML/cmm/m/it/10 L[
]\OT1/cmr/m/n/10 ([]\OML/cmm/m/it/10 ; s\OT1/cmr/m/n/10 )$.
 []

[14]
Overfull \hbox (25.37708pt too wide) in paragraph at lines 1268--1337
 [] 
 []

[15]
Underfull \vbox (badness 7595) has occurred while \output is active []

 [16]
[17]
Overfull \hbox (52.26436pt too wide) in paragraph at lines 1489--1551
 [] 
 []


Overfull \hbox (18.1121pt too wide) in paragraph at lines 1561--1572
\OT1/cmr/m/n/10 With the ex-cep-tion of curves $\OML/cmm/m/it/10 C[]$\OT1/cmr/m
/n/10 , $\OML/cmm/m/it/10 C[]$\OT1/cmr/m/n/10 , $\OML/cmm/m/it/10 C[]$\OT1/cmr/
m/n/10 , and $\OML/cmm/m/it/10 C[]$ \OT1/cmr/m/n/10 we have $[] [](\OML/cmm/m/i
t/10 J; \OT1/cmr/bx/n/10 Q\OT1/cmr/m/n/10 )[2] =
 []

[18]
Underfull \vbox (badness 10000) has occurred while \output is active []

 [19]
[20]
Underfull \hbox (badness 10000) in paragraph at lines 1743--1747
[]\OT1/cmr/m/n/8 C. Breuil, B. Con-rad, F. Di-a-mond and R. Tay-lor \OT1/cmr/m/
it/8 On the
 []


Underfull \hbox (badness 10000) in paragraph at lines 1743--1747
\OT1/cmr/m/it/8 mod-u-lar-ity of el-lip-tic curves over $\OT1/cmr/bx/n/8 Q$\OT1
/cmr/m/it/8 : Wild 3-adic ex-er-cises\OT1/cmr/m/n/8 .
 []


Underfull \vbox (badness 10000) has occurred while \output is active []

 [21]
Underfull \vbox (badness 10000) has occurred while \output is active []

 [22]
[23] (evidence3.aux) ) 
Here is how much of TeX's memory you used:
 1524 strings out of 20898
 16278 string characters out of 196686
 91061 words of memory out of 350001
 4310 multiletter control sequences out of 10000+15000
 12730 words of font info for 48 fonts, out of 400000 for 1000
 175 hyphenation exceptions out of 1000
 39i,12n,32p,314b,384s stack positions out of 1500i,100n,500p,50000b,4000s

Output written on evidence3.dvi (23 pages, 141224 bytes).