def by_ec_label(label):
ec_logger.debug(label)
try:
N, iso, number = split_lmfdb_label(label)
except AttributeError:
ec_logger.debug("%s not a valid lmfdb label, trying cremona")
try:
N, iso, number = split_cremona_label(label)
except AttributeError:
ec_logger.debug("%s not a valid cremona label either, trying Weierstrass")
eqn = label.replace(" ","")
if weierstrass_eqn_regex.match(eqn) or short_weierstrass_eqn_regex.match(eqn):
return by_weierstrass(eqn)
else:
return elliptic_curve_jump_error(label, {})
# We permanently redirect to the lmfdb label
if number:
data = db_ec().find_one({'label': label})
if data is None:
return elliptic_curve_jump_error(label, {})
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
return redirect(url_for(".by_ec_label", label=data['lmfdb_label']), 301)
else:
data = db_ec().find_one({'iso': label})
if data is None:
return elliptic_curve_jump_error(label, {})
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
return redirect(url_for(".by_ec_label", label=data['lmfdb_iso']), 301)
if number:
return redirect(url_for(".by_triple_label", conductor=N, iso_label=iso, number=number))
else:
return redirect(url_for(".by_double_iso_label", conductor=N, iso_label=iso))
def by_ec_label(label):
ec_logger.debug(label)
# First see if we have an LMFDB label of a curve or class:
try:
N, iso, number = split_lmfdb_label(label)
if number:
return redirect(
url_for(".by_triple_label",
conductor=N,
iso_label=iso,
number=number))
else:
return redirect(
url_for(".by_double_iso_label", conductor=N, iso_label=iso))
except AttributeError:
ec_logger.debug("%s not a valid lmfdb label, trying cremona")
# Next see if we have a Cremona label of a curve or class:
try:
N, iso, number = split_cremona_label(label)
except AttributeError:
ec_logger.debug(
"%s not a valid cremona label either, trying Weierstrass")
eqn = label.replace(" ", "")
if weierstrass_eqn_regex.match(
eqn) or short_weierstrass_eqn_regex.match(eqn):
return by_weierstrass(eqn)
else:
return elliptic_curve_jump_error(label, {})
if number: # it's a curve
label_type = 'label'
else:
label_type = 'iso'
data = db_ec().find_one({label_type: label})
if data is None:
return elliptic_curve_jump_error(label, {})
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
iso = data['lmfdb_iso'].split(".")[1]
if number:
return redirect(
url_for(".by_triple_label",
conductor=N,
iso_label=iso,
number=data['lmfdb_number']))
else:
return redirect(
url_for(".by_double_iso_label", conductor=N, iso_label=iso))
def by_weierstrass(eqn):
w = weierstrass_eqn_regex.match(eqn)
if not w:
w = short_weierstrass_eqn_regex.match(eqn)
if not w:
return elliptic_curve_jump_error(eqn, {})
try:
ainvs = [ZZ(ai) for ai in w.groups()]
except TypeError:
return elliptic_curve_jump_error(eqn, {})
E = EllipticCurve(ainvs).global_minimal_model()
label = db.ec_curvedata.lucky({'ainvs': EC_ainvs(E)},'lmfdb_label')
if label is None:
N = E.conductor()
return elliptic_curve_jump_error(eqn, {'conductor':N}, missing_curve=True)
return redirect(url_for(".by_ec_label", label=label), 301)
def by_weierstrass(eqn):
w = weierstrass_eqn_regex.match(eqn)
if not w:
w = short_weierstrass_eqn_regex.match(eqn)
if not w:
return elliptic_curve_jump_error(eqn, {})
try:
ainvs = [ZZ(ai) for ai in w.groups()]
except TypeError:
return elliptic_curve_jump_error(eqn, {})
E = EllipticCurve(ainvs).global_minimal_model()
label = db.ec_curves.lucky({'ainvs': EC_ainvs(E)},'lmfdb_label')
if label is None:
N = E.conductor()
return elliptic_curve_jump_error(eqn, {'conductor':N}, missing_curve=True)
return redirect(url_for(".by_ec_label", label=label), 301)
def by_weierstrass(eqn):
w = weierstrass_eqn_regex.match(eqn)
if not w:
w = short_weierstrass_eqn_regex.match(eqn)
if not w:
return elliptic_curve_jump_error(eqn, {})
try:
ainvs = [ZZ(ai) for ai in w.groups()]
except TypeError:
return elliptic_curve_jump_error(eqn, {})
E = EllipticCurve(ainvs).global_minimal_model()
N = E.conductor()
data = db_ec().find_one({'xainvs': EC_ainvs(E)})
if data is None:
return elliptic_curve_jump_error(eqn, {'conductor':N}, missing_curve=True)
return redirect(url_for(".by_ec_label", label=data['lmfdb_label']), 301)
def by_weierstrass(eqn):
w = weierstrass_eqn_regex.match(eqn)
if not w:
w = short_weierstrass_eqn_regex.match(eqn)
if not w:
return elliptic_curve_jump_error(eqn, {})
try:
ainvs = [ZZ(ai) for ai in w.groups()]
except TypeError:
return elliptic_curve_jump_error(eqn, {})
E = EllipticCurve(ainvs).global_minimal_model()
N = E.conductor()
ainvs = [str(ai) for ai in E.ainvs()]
data = db_ec().find_one({'ainvs': ainvs})
if data is None:
return elliptic_curve_jump_error(eqn, {'conductor':N}, missing_curve=True)
return redirect(url_for(".by_ec_label", label=data['lmfdb_label']), 301)
def by_ec_label(label):
ec_logger.debug(label)
try:
N, iso, number = split_lmfdb_label(label)
except AttributeError:
ec_logger.debug("%s not a valid lmfdb label, trying cremona")
try:
N, iso, number = split_cremona_label(label)
except AttributeError:
ec_logger.debug(
"%s not a valid cremona label either, trying Weierstrass")
eqn = label.replace(" ", "")
if weierstrass_eqn_regex.match(
eqn) or short_weierstrass_eqn_regex.match(eqn):
return by_weierstrass(eqn)
else:
return elliptic_curve_jump_error(label, {})
# We permanently redirect to the lmfdb label
if number: # it's a curve
data = db_ec().find_one({'label': label})
if data is None:
return elliptic_curve_jump_error(label, {})
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
#return redirect(url_for(".by_ec_label", label=data['lmfdb_label']), 301)
return render_curve_webpage_by_label(data['label'])
else: # it's an isogeny class
data = db_ec().find_one({'iso': label})
if data is None:
return elliptic_curve_jump_error(label, {})
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
#return redirect(url_for(".by_ec_label", label=data['iso']), 301)
return render_isogeny_class(data['iso'])
if number:
return redirect(
url_for(".by_triple_label",
conductor=N,
iso_label=iso,
number=number))
else:
return redirect(
url_for(".by_double_iso_label", conductor=N, iso_label=iso))
def by_ec_label(label):
ec_logger.debug(label)
# First see if we have an LMFDB label of a curve or class:
try:
N, iso, number = split_lmfdb_label(label)
if number:
return redirect(url_for(".by_triple_label", conductor=N, iso_label=iso, number=number))
else:
return redirect(url_for(".by_double_iso_label", conductor=N, iso_label=iso))
except AttributeError:
ec_logger.debug("%s not a valid lmfdb label, trying cremona")
# Next see if we have a Cremona label of a curve or class:
try:
N, iso, number = split_cremona_label(label)
except AttributeError:
ec_logger.debug("%s not a valid cremona label either, trying Weierstrass")
eqn = label.replace(" ","")
if weierstrass_eqn_regex.match(eqn) or short_weierstrass_eqn_regex.match(eqn):
return by_weierstrass(eqn)
else:
return elliptic_curve_jump_error(label, {})
if number: # it's a curve
label_type = 'label'
else:
label_type = 'iso'
data = db.ec_curves.lucky({label_type: label}, projection=1)
if data is None:
return elliptic_curve_jump_error(label, {}, wellformed_label=True, missing_curve=True)
ec_logger.debug(url_for(".by_ec_label", label=data['lmfdb_label']))
iso = data['lmfdb_iso'].split(".")[1]
if number:
return render_curve_webpage_by_label(label)
#return redirect(url_for(".by_triple_label", conductor=N, iso_label=iso, number=data['lmfdb_number']))
else:
return render_isogeny_class(label)