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// FILE H1CURVE.CC: Program to list curves
//////////////////////////////////////////////////////////////////////////
//
// Copyright 1990-2012 John Cremona
//
// This file is part of the eclib package.
//
// eclib is free software; you can redistribute it and/or modify it
// under the terms of the GNU General Public License as published by the
// Free Software Foundation; either version 2 of the License, or (at your
// option) any later version.
//
// eclib is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
// for more details.
//
// You should have received a copy of the GNU General Public License
// along with eclib; if not, write to the Free Software Foundation,
// Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
//
//////////////////////////////////////////////////////////////////////////
//
#include <fstream>
#include <eclib/compproc.h>
#include <eclib/moddata.h>
#include <eclib/symb.h>
#include <eclib/cusp.h>
#include <eclib/homspace.h>
#include <eclib/oldforms.h>
#include <eclib/curve.h> //from qcurves
#include <eclib/cperiods.h> //from qcurves, for computing conductors
#include <eclib/newforms.h>
#include <eclib/periods.h>
#ifndef SINGLE // so Makefile can override
#define AUTOLOOP
#endif
#define LMFDB_ORDER // if defined, sorts newforms into LMFDB order before output
// If this is defined, the fisc6 output is placed in subdirectory
// fixc6 in file fixc6/fixc6.N (one per level); otherwise it is all
// put in ./fixc6.extra
//#define FIXC6_OUTPUT_TO_SUBDIR
#define BOOKORDER // if defined, sorts newforms/curves into order
// in the Book (relevant up to 500 only)
#include <eclib/curvesort.h>
vector<pair<int,int> > bad_ones; // holds bad (n,i) list
int checkap(const level* iN, const newform& nf, CurveRed& CR, long pmax=100);
int main(void)
{
int prec0 = 75;
int maxprec = 300;
int prec = prec0;
int delta_prec = 30;
set_precision(prec);
int verb=0;
#ifdef SINGLE
verb=1;
#else
cout<<"See detail? "; cin>>verb;
#endif
int limit,n=1;
#ifdef AUTOLOOP
cout<<"Enter first and last N: ";cin>>n>>limit;
n--; cout<<endl;
cout<<endl<<"Table of curves computed from newforms via periods"<<endl;
#ifdef BOOKORDER
cout<<"(reordered to agree with Book for levels up to 1000)"<<endl;
#endif
#ifdef LMFDB_ORDER
cout<<"(reordered to agree with LMFDB for levels over 1000)"<<endl;
#endif
if(!verb)
{
cout << "\nN \t# \t";
cout<<"[a1,a2,a3,a4,a6]";
cout<<"\t\tConductor\n";
}
while (n<limit) { n++;
#else
while (n>0) { cout<<"Enter level: "; cin>>n;
#endif
if (n>0)
{
newforms nf(n,verb);
int noldap=25;
nf.createfromdata(1,noldap,0); // do not create from scratch if data absent
#ifdef LMFDB_ORDER
nf.sort();
#endif
int nnf = nf.n1ds;
int inf = 1;
#ifndef SINGLE
if(verb>1) nf.display();
#else
// if(nnf>1)
{
cout << "Enter form number (between 1 and "<<nnf<<"): "; cin>>inf;
if((inf<1)||(inf>nnf))
{
cout << "Not in range!\n"; inf=1; nnf=0;
}
else nnf=inf;
}
#endif
for(int xi=inf-1; xi<nnf; xi++)
{ int i = xi;
#ifdef BOOKORDER
i=booknumber0(n,i);
#endif
if(verb) cout << "\nForm number " << i+1 << ": " << endl;
else cout << n << "\t" << codeletter(xi) << "\t";
//#ifdef SINGLE
if(verb) nf.nflist[i].display();
//#endif
bigfloat rperiod;
Curve C;
Curvedata CD;
CurveRed CR;
bigint nc;
prec = prec0-delta_prec;
set_precision(prec);
C = Curve();
while (C.isnull() && (prec<maxprec))
{
prec += delta_prec;
set_precision(prec);
C = nf.getcurve(i, -1, rperiod, verb);
if (!C.isnull())
{
CD = Curvedata(C,1); // The 1 causes minimalization
CR = CurveRed(CD);
nc = getconductor(CR);
if(n!=nc) C = Curve(); // wrong conductor; reset to null curve
}
}
if(C.isnull())
{
cout << "bad curve, even after trying precision up to "<<maxprec<<endl;
bad_ones.push_back(pair<int,int>(n,i+1));
}
else
{
if(getdiscr(Curvedata(C,0))!=getdiscr(CD))
{
cout << "Non-minimal curve = \t" << C << ", minimal curve = \t";
}
else if(verb) cout << "Curve = \t";
cout << (Curve)CD << "\t";
cout << "N = " << nc;
if(n!=nc)
{
cout<<" ------WRONG CONDUCTOR!";
}
else
{
if(!checkap(&nf, nf.nflist[i], CR))
cout<<" ----- a_p do not agree!";
// else
// cout<<" ----- a_p agree for p<100";
}
cout<<endl;
}
#ifdef SINGLE
bigint c6=getc6(CD), c4=getc4(CD);
char* f = new char[20];
#ifdef FIXC6_OUTPUT_TO_SUBDIR
sprintf(f,"fixc6/fixc6.%ld",n);
#else
sprintf(f,"fixc6.extra");
#endif
ofstream xout(f,ios::app);
delete[] f;
xout<<" "<<n<<" "<<(i+1)<<" "<<c6<<endl;
xout.close();
cout<<"c4: "<<n<<" "<<(i+1)<<" "<<c4<<endl;
cout<<"c6: "<<n<<" "<<(i+1)<<" "<<c6<<endl;
#endif
if(verb) cout<<endl;
}
} // end of if(n)
} // end of while()
if (bad_ones.size()>0)
{
cout<<"\nNumber of bad curves: "<<bad_ones.size()<<endl;
cout<<"List of bad curves\n";
for(unsigned int i=0; i<bad_ones.size(); i++)
cout<<bad_ones[i].first<<" "<<bad_ones[i].second<<"\n";
cout<<endl;
}
} // end of main()
int checkap(const level* iN, const newform& nf, CurveRed& CR, long pmax)
{
vector<long> aplist = nf.aplist;
vector<long> primelist = primes(aplist.size());
unsigned int i;
bigint ap, p=BIGINT(0);
int ok=1, ok1;
for(i=0; (i<aplist.size())&&(p<=pmax); i++)
{
p=primelist[i];
ap=Trace_Frob(CR,p);
ok1 = (ap==BIGINT(aplist[i]));
if(!ok1) cout<<"p="<<p<<": ap(E)="<<ap<<" but ap(f)="<<aplist[i]<<endl;
ok = ok && ok1;
}
return ok;
}
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