def statistics_by_degree(d):
stats = get_stats()
info = {
'counts': stats.counts(),
'stats': stats.stats(),
'dstats': stats.dstats()[d],
'degree': d
}
if not d in info['counts']['degrees']:
if d==1:
return redirect(url_for("ec.statistics"))
if d<0:
info['error'] = "Negative degree!"
else:
info['error'] = "The database does not contain any elliptic curves defined over fields of degree %s" % d
info['degree_stats'] = ecnf_degree_summary(d)
sigs = ["(%s,%s)" % (r,(d-r)/2) for r in range(d%2,d+1,2)]
info['sig_stats'] = dict([(s,get_signature_stats(s)) for s in sigs])
credit = 'John Cremona'
if d==2:
t = 'Elliptic curves over quadratic number fields'
elif d==3:
t = 'Elliptic curves over cubic number fields'
elif d==4:
t = 'Elliptic curves over quartic number fields'
elif d==5:
t = 'Elliptic curves over quintic number fields'
elif d==6:
t = 'Elliptic curves over sextic number fields'
else:
t = 'Elliptic curves over number fields of degree %s' % d
bread = [('Elliptic Curves', url_for("ecnf.index")),
('degree %s' % d,' ')]
return render_template("by_degree.html", info=info, credit=credit, title=t, bread=bread, learnmore=learnmore_list())
def statistics_by_degree(d):
stats = get_stats()
info = {
'counts': stats.counts(),
'stats': stats.stats(),
'dstats': stats.dstats()[d],
'degree': d
}
if not d in info['counts']['degrees']:
if d==1:
return redirect(url_for("ec.statistics"))
if d<0:
info['error'] = "Negative degree!"
else:
info['error'] = "The database does not contain any elliptic curves defined over fields of degree %s" % d
info['degree_stats'] = ecnf_degree_summary(d)
sigs = ["(%s,%s)" % (r,(d-r)/2) for r in range(d%2,d+1,2)]
info['sig_stats'] = dict([(s,get_signature_stats(s)) for s in sigs])
credit = 'John Cremona'
if d==2:
t = 'Elliptic curves over quadratic number fields'
elif d==3:
t = 'Elliptic curves over cubic number fields'
elif d==4:
t = 'Elliptic curves over quartic number fields'
elif d==5:
t = 'Elliptic curves over quintic number fields'
elif d==6:
t = 'Elliptic curves over sextic number fields'
else:
t = 'Elliptic curves over number fields of degree %s' % d
bread = [('Elliptic Curves', url_for("ecnf.index")),
('degree %s' % d,' ')]
return render_template("by_degree.html", info=info, credit=credit, title=t, bread=bread, learnmore=learnmore_list())
def statistics_by_degree(d):
if d == 1:
return redirect(url_for("ec.statistics"))
info = {}
ecnfstats = db_ecnfstats()
sigs_by_deg = ecnfstats.find_one({'_id': 'signatures_by_degree'},
projection={'_id': False})
if not str(d) in sigs_by_deg:
info[
'error'] = "The database does not contain any elliptic curves defined over fields of degree %s" % d
else:
info['degree'] = d
fields_by_sig = ecnfstats.find_one({'_id': 'fields_by_signature'},
projection={'_id': False})
counts_by_sig = ecnfstats.find_one({'_id': 'conductor_norm_by_signature'},
projection={'_id': False})
counts_by_field = ecnfstats.find_one({'_id': 'conductor_norm_by_field'},
projection={'_id': False})
def field_counts(f):
ff = f.replace(".", ":")
return [f, counts_by_field[ff]]
def sig_counts(sig):
sorted_fields = sorted(fields_by_sig[sig], key=sort_field)
return [
sig, counts_by_sig[sig], [field_counts(f) for f in sorted_fields]
]
info['summary'] = ecnf_degree_summary(d)
info['sig_stats'] = [sig_counts(sig) for sig in sigs_by_deg[str(d)]]
credit = 'John Cremona'
if d == 2:
t = 'Elliptic curves over quadratic number fields'
elif d == 3:
t = 'Elliptic curves over cubic number fields'
elif d == 4:
t = 'Elliptic curves over quartic number fields'
elif d == 5:
t = 'Elliptic curves over quintic number fields'
elif d == 6:
t = 'Elliptic curves over sextic number fields'
else:
t = 'Elliptic curves over number fields of degree {}'.format(d)
bread = [('Elliptic Curves', url_for("ecnf.index")),
('degree %s' % d, ' ')]
return render_template("ecnf-by-degree.html",
info=info,
credit=credit,
title=t,
bread=bread,
learnmore=learnmore_list())
def statistics_by_degree(d):
if d==1:
return redirect(url_for("ec.statistics"))
info = {}
ecnfstats = db_ecnfstats()
sigs_by_deg = ecnfstats.find_one({'_id':'signatures_by_degree'}, projection={'_id': False})
if not str(d) in sigs_by_deg:
info['error'] = "The database does not contain any elliptic curves defined over fields of degree %s" % d
else:
info['degree'] = d
fields_by_sig = ecnfstats.find_one({'_id':'fields_by_signature'}, projection={'_id': False})
counts_by_sig = ecnfstats.find_one({'_id':'conductor_norm_by_signature'}, projection={'_id': False})
counts_by_field = ecnfstats.find_one({'_id':'conductor_norm_by_field'}, projection={'_id': False})
def field_counts(f):
ff = f.replace(".",":")
return [f,counts_by_field[ff]]
def sig_counts(sig):
sorted_fields = sorted(fields_by_sig[sig], key=sort_field)
return [sig, counts_by_sig[sig], [field_counts(f) for f in sorted_fields]]
info['summary'] = ecnf_degree_summary(d)
info['sig_stats'] = [sig_counts(sig) for sig in sigs_by_deg[str(d)]]
credit = 'John Cremona'
if d==2:
t = 'Elliptic curves over quadratic number fields'
elif d==3:
t = 'Elliptic curves over cubic number fields'
elif d==4:
t = 'Elliptic curves over quartic number fields'
elif d==5:
t = 'Elliptic curves over quintic number fields'
elif d==6:
t = 'Elliptic curves over sextic number fields'
else:
t = 'Elliptic curves over number fields of degree {}'.format(d)
bread = [('Elliptic Curves', url_for("ecnf.index")),
('Degree %s' % d,' ')]
return render_template("ecnf-by-degree.html", info=info, credit=credit, title=t, bread=bread, learnmore=learnmore_list())