def __init__(self):
field = TextBox(
name='field_label',
label='Base field',
knowl='nf',
example='2.0.4.1',
example_span=
r'either a field label, e.g. 2.0.4.1 for \(\mathbb{Q}(\sqrt{-1})\), or a nickname, e.g. Qsqrt-1',
example_span_colspan=4)
degree = TextBox(name='deg',
label='Base field degree',
knowl='nf.degree',
example='2',
example_span='2, 2..3')
discriminant = TextBox(name='disc',
label='Base field discriminant',
knowl='nf.discriminant',
example='5',
example_span='5 or 1-100')
weight = TextBox(name='weight',
label='Weight',
knowl='mf.hilbert.weight_vector',
example='[2,2]',
example_span='2 or [2,2]')
level = TextBox(name='level_norm',
label='Level norm',
knowl='mf.hilbert.level_norm',
example='1',
example_span='1 or 1-100')
dimension = TextBox(name='dimension',
label='Dimension',
knowl='mf.hilbert.dimension',
example='1',
example_span='1 or 2')
base_change = ExcludeOnlyBox(
name='bc',
label='Base change',
knowl='mf.base_change',
)
CM = ExcludeOnlyBox(
name='cm',
label='CM',
knowl='mf.cm',
)
count = CountBox()
self.browse_array = [[field], [degree, discriminant], [level, weight],
[dimension, base_change], [count, CM]]
self.refine_array = [
[field, degree, discriminant, CM],
[weight, level, dimension, base_change],
]
def __init__(self):
field = TextBox(
name='field_label',
label='Base field',
knowl='nf',
example='2.0.4.1',
example_span=
r'either a field label, e.g. 2.0.4.1 for \(\mathbb{Q}(\sqrt{-1})\), or a nickname, e.g. Qsqrt-1',
example_span_colspan=4)
level = TextBox(name='level_norm',
label='Level norm',
knowl='mf.bianchi.level',
example='1',
example_span='e.g. 1 or 1-100')
# See Issue #4170
# dimension = TextBox(
# name='dimension',
# label='Dimension',
# knowl='mf.bianchi.spaces',
# example='1',
# example_span='e.g. 1 or 2')
sign = SelectBox(name='sfe',
label='Sign',
knowl='mf.bianchi.sign',
options=[("", ""), ("+1", "+1"), ("-1", "-1")],
example_col=True)
base_change = ExcludeOnlyBox(name='include_base_change',
label='Base change',
knowl='mf.bianchi.base_change',
example="exclude")
CM = ExcludeOnlyBox(name='include_cm',
label='CM',
knowl='mf.bianchi.cm')
field_bad_quant = SubsetBox(name="field_bad_quantifier")
field_bad_primes = TextBoxWithSelect(name="field_bad_primes",
label="Field bad primes",
knowl="nf.ramified_primes",
example="5,13",
select_box=field_bad_quant)
level_bad_quant = SubsetBox(name="level_bad_quantifier")
level_bad_primes = TextBoxWithSelect(name="level_bad_primes",
label="Level bad primes",
knowl="mf.bianchi.level",
example="5,13",
select_box=level_bad_quant)
count = CountBox()
self.browse_array = [[field], [level, sign], [base_change, CM],
[field_bad_primes, level_bad_primes], [count]]
self.refine_array = [[field, level, CM],
[
sign, base_change, field_bad_primes,
level_bad_primes
]]
def __init__(self):
field = TextBox(
name='field_label',
label='Base field',
knowl='nf',
example='2.0.4.1',
example_span=r'either a field label, e.g. 2.0.4.1 for \(\mathbb{Q}(\sqrt{-1})\), or a nickname, e.g. Qsqrt-1',
example_span_colspan=4)
level = TextBox(
name='level_norm',
label='Level norm',
knowl='mf.bianchi.level',
example='1',
example_span='e.g. 1 or 1-100')
dimension = TextBox(
name='dimension',
label='Dimension',
knowl='mf.bianchi.spaces',
example='1',
example_span='e.g. 1 or 2')
sign = SelectBox(
name='sfe',
label='Sign',
knowl='mf.bianchi.sign',
options=[("", ""), ("+1", "+1"), ("-1", "-1")],
example_col=True
)
base_change = ExcludeOnlyBox(
name='include_base_change',
label='Base change',
knowl='mf.bianchi.base_change'
)
CM = ExcludeOnlyBox(
name='include_cm',
label='CM',
knowl='mf.bianchi.cm'
)
count = CountBox()
self.browse_array = [
[field],
[level, sign],
[dimension, base_change],
[count, CM]
]
self.refine_array = [
[field, level, dimension],
[sign, base_change, CM]
]
def __init__(self):
genus = TextBox(name="genus",
label="Genus",
knowl="ag.curve.genus",
example="3",
example_span="4, or a range like 3..5")
g0 = TextBox(name="g0",
label="Quotient genus",
knowl="curve.highergenus.aut.quotientgenus",
example="0",
example_span="4, or a range like 3..5")
signature = TextBox(name="signature",
label="Signature",
knowl="curve.highergenus.aut.signature",
example="[0,2,3,3,6]",
example_span="[0,2,3,3,6] or [0;2,3,8]")
group_order = TextBox(
name="group_order",
label="Group order(s)",
knowl="group.order",
example="2..5",
example_span=
"12, or a range like 10..20, or you may include the variable g for genus like 84(g-1)"
)
group = TextBox(name="group",
label="Group identifier",
knowl="group.small_group_label",
example="[4,2]")
dim = TextBox(name="dim",
label="Dimension of the family",
knowl="curve.highergenus.aut.dimension",
example="1",
example_span="1, or a range like 0..2")
inc_hyper = ExcludeOnlyBox(name="inc_hyper",
label="Hyperelliptic curve(s)",
knowl="ag.hyperelliptic_curve")
inc_cyc_trig = ExcludeOnlyBox(name="inc_cyc_trig",
label="Cyclic trigonal curve(s)",
knowl="ag.cyclic_trigonal")
inc_full = ExcludeOnlyBox(name="inc_full",
label="Full automorphism group",
knowl="curve.highergenus.aut.full")
count = CountBox()
self.browse_array = [[genus], [g0], [signature], [group_order],
[group], [dim], [inc_hyper], [inc_cyc_trig],
[inc_full], [count]]
self.refine_array = [[genus, dim, group_order, inc_hyper, inc_full],
[g0, signature, group, inc_cyc_trig]]
def __init__(self):
field = TextBox(name="field",
label="Base field",
knowl="ag.base_field",
example="2.2.5.1",
example_span="2.2.5.1 or Qsqrt5")
include_base_change = ExcludeOnlyBox(name="include_base_change",
label="Base change curves",
knowl="ec.base_change")
include_Q_curves = ExcludeOnlyBox(name="include_Q_curves",
label=r"\(\Q\)-curves",
knowl="ec.q_curve")
conductor_norm = TextBox(name="conductor_norm",
label="Conductor norm",
knowl="ec.conductor",
example="31",
example_span="31 or 1-100")
one = SelectBox(name="one",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
example="all, one",
options=[("", "all"), ("yes", "one")])
include_cm = SelectBox(name="include_cm",
label="CM",
knowl="ec.complex_multiplication",
options=[('', ''), ('PCM', 'potential CM'),
('PCMnoCM', 'potential CM but no CM'),
('CM', 'CM'),
('noPCM', 'no potential CM')])
cm_disc = TextBox(name="cm_disc",
label="CM discriminant",
example="-4",
example_span="-4 or -3,-8",
knowl="ec.complex_multiplication")
jinv = TextBox(name="jinv",
label="j-invariant",
knowl="ec.j_invariant",
width=685,
short_width=160,
colspan=(1, 4, 1),
example_span_colspan=2,
example="105474/49 + a*34213/49",
example_span="")
rank = TextBox(name="rank",
label="Rank*",
knowl="ec.rank",
example="2")
torsion = TextBox(name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
bf_deg = SelectBox(name="bf_deg",
label="Base field degree",
knowl="nf.degree",
options=[("", ""), ("2", "2"), ("3", "3"),
("4", "4"), ("5", "5"), ("6", "6")])
tor_opts = (
[("", ""), ("[]", "trivial")] +
[disp_tor(tuple(t)) for t in ECNF_stats().torsion_counts if t])
torsion_structure = SelectBox(name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
sha = TextBox(name="sha",
label="Analytic order* of Ш",
knowl="ec.analytic_sha_order",
example="4")
regulator = TextBox(name="regulator",
label="Regulator*",
knowl="ec.regulator",
example="8.4-9.1")
bad_quant = SubsetBox(name="bad_quantifier")
bad_primes = TextBoxWithSelect(name="conductor_norm_factors",
label="Bad primes",
knowl="ec.reduction_type",
example="5,13",
select_box=bad_quant)
isodeg = TextBox(name="isodeg",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
semistable = YesNoBox(name="semistable",
label="Semistable",
example="Yes",
knowl="ec.semistable")
potential_good_reduction = YesNoBox(
name="potential_good_reduction",
label="Potential good reduction",
example="Yes",
knowl="ec.potential_good_reduction")
class_size = TextBox(name="class_size",
label="Isogeny class size",
knowl="ec.isogeny",
example="4")
class_deg = TextBox(name="class_deg",
label="Isogeny class degree",
knowl="ec.isogeny",
example="16")
count = CountBox()
self.browse_array = [[field, bf_deg],
[conductor_norm, include_base_change],
[rank, include_Q_curves],
[torsion, torsion_structure],
[cm_disc, include_cm], [sha, regulator],
[isodeg, one], [class_size, class_deg],
[semistable, potential_good_reduction], [jinv],
[count, bad_primes]]
self.refine_array = [
[field, conductor_norm, rank, torsion, cm_disc],
[
bf_deg, include_base_change, include_Q_curves,
torsion_structure, include_cm
],
[sha, isodeg, class_size, semistable, jinv],
[regulator, one, class_deg, potential_good_reduction, bad_primes],
]
def __init__(self):
cond = TextBox(name="conductor",
label="Conductor",
knowl="ec.q.conductor",
example="389",
example_span="389 or 100-200")
rank = TextBox(name="rank", label="Rank", knowl="ec.rank", example="0")
torsion = TextBox(name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
sha = TextBox(name="sha",
label="Analytic order of Ш",
knowl="ec.q.analytic_sha_order",
example="4")
surj_primes = TextBox(name="surj_primes",
label="Maximal primes",
knowl="ec.maximal_galois_rep",
example="2,3")
isodeg = TextBox(name="isodeg",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
num_int_pts = TextBox(
name="num_int_pts",
label="Number of %s" %
display_knowl("ec.q.integral_points", "integral points"),
example="2",
example_span="2 or 4-15")
jinv = TextBox(name="jinv",
label="j-invariant",
knowl="ec.q.j_invariant",
example="1728",
example_span="1728 or -4096/11")
cm = ExcludeOnlyBox(name="include_cm",
label="CM",
knowl="ec.complex_multiplication")
tor_opts = ([("", ""),
("[]", "trivial")] + [("[%s]" % n, "C%s" % n)
for n in range(2, 13) if n != 11] +
[("[2,%s]" % n, "C2×C%s" % n)
for n in range(2, 10, 2)])
torsion_struct = SelectBox(name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
optimal = SelectBox(name="optimal",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
options=[("", ""), ("on", "one")])
surj_quant = SubsetNoExcludeBox(name="surj_quantifier")
nonsurj_primes = TextBoxWithSelect(name="nonsurj_primes",
label="Non-max. $p$",
short_label="Non-max. $p$",
knowl="ec.maximal_galois_rep",
example="2,3",
select_box=surj_quant)
bad_quant = SubsetBox(name="bad_quantifier")
bad_primes = TextBoxWithSelect(name="bad_primes",
label="Bad $p$",
knowl="ec.q.reduction_type",
example="5,13",
select_box=bad_quant)
regulator = TextBox(name="regulator",
label="Regulator",
knowl="ec.q.regulator",
example="8.4-9.1")
semistable = YesNoBox(name="semistable",
label="Semistable",
example="Yes",
knowl="ec.semistable")
cm_opts = [('', ''), ('-3', -3), ('-4', -4), ('-7', -7), ('-8', -8),
('-11', -11), ('-12', -12), ('-16', -16), ('-19', -19),
('-27', -27), ('-28', -28), ('-43', -43), ('-67', -67),
('-163', -163)]
cm_disc = SelectBox(name="cm_disc",
label="CM discriminant",
example="-3",
knowl="ec.complex_multiplication",
options=cm_opts)
count = CountBox()
self.browse_array = [[cond, jinv], [rank, regulator],
[torsion, torsion_struct], [cm_disc, cm],
[sha, optimal], [surj_primes, nonsurj_primes],
[isodeg, bad_primes], [num_int_pts, semistable],
[count]]
self.refine_array = [[cond, jinv, rank, torsion, torsion_struct],
[
sha, isodeg, surj_primes, nonsurj_primes,
bad_primes
],
[num_int_pts, regulator, cm, cm_disc, semistable],
[optimal]]
def __init__(self):
field = TextBox(name="field",
label="Base field",
knowl="nf",
example="2.2.5.1",
example_span="2.2.5.1 or Qsqrt5")
include_base_change = ExcludeOnlyBox(name="include_base_change",
label="Base change curves",
knowl="ec.base_change")
include_Q_curves = ExcludeOnlyBox(name="include_Q_curves",
label=r"\(\Q\)-curves",
knowl="ec.q_curve")
conductor_norm = TextBox(name="conductor_norm",
label="Conductor norm",
knowl="ec.conductor",
example="31",
example_span="31 or 1-100")
one = SelectBox(name="one",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
options=[("", ""), ("yes", "one")])
include_cm = ExcludeOnlyBox(name="include_cm",
label="CM",
knowl="ec.complex_multiplication")
cm_disc = TextBox(name="cm_disc",
label="CM discriminant",
example="-4",
example_span="-4 or -3,-8",
knowl="ec.complex_multiplication")
jinv = TextBox(name="jinv",
label="j-invariant",
knowl="ec.j_invariant",
width=675,
short_width=160,
colspan=(1, 4, 1),
example_span_colspan=2,
example="105474/49 + a*34213/49",
example_span="")
torsion = TextBox(name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
def disp_tor(t):
if len(t) == 1:
return "[%s]" % t, "C%s" % t
else:
return "[%s,%s]" % t, "C%s×C%s" % t
tor_opts = (
[("", ""), ("[]", "trivial")] +
[disp_tor(tuple(t)) for t in ECNF_stats().torsion_counts if t])
torsion_structure = SelectBox(name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
isodeg = TextBox(name="isodeg",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
count = CountBox()
self.browse_array = [[jinv], [field, include_base_change],
[conductor_norm, include_Q_curves],
[torsion, torsion_structure],
[cm_disc, include_cm], [isodeg, one], [count]]
self.refine_array = [[
field, conductor_norm, jinv, include_base_change, include_Q_curves
], [isodeg, torsion, torsion_structure, include_cm, cm_disc], [one]]
def __init__(self):
field = TextBox(name="field",
label="Base field",
knowl="ag.base_field",
example="2.2.5.1",
example_span="2.2.5.1 or Qsqrt5")
include_base_change = ExcludeOnlyBox(name="include_base_change",
label="Base change curves",
knowl="ec.base_change")
include_Q_curves = ExcludeOnlyBox(name="include_Q_curves",
label=r"\(\Q\)-curves",
knowl="ec.q_curve")
conductor_norm = TextBox(name="conductor_norm",
label="Conductor norm",
knowl="ec.conductor",
example="31",
example_span="31 or 1-100")
one = SelectBox(name="one",
label="Curves per isogeny class",
knowl="ec.isogeny_class",
options=[("", ""), ("yes", "one")])
include_cm = SelectBox(name="include_cm",
label="CM",
knowl="ec.complex_multiplication",
options=[('', ''), ('PCM', 'potential CM'),
('PCMnoCM', 'potential CM but no CM'),
('CM', 'CM'),
('noPCM', 'no potential CM')])
cm_disc = TextBox(name="cm_disc",
label="CM discriminant",
example="-4",
example_span="-4 or -3,-8",
knowl="ec.complex_multiplication")
jinv = TextBox(name="jinv",
label="j-invariant",
knowl="ec.j_invariant",
width=675,
short_width=160,
colspan=(1, 4, 1),
example_span_colspan=2,
example="105474/49 + a*34213/49",
example_span="")
rank = TextBox(name="rank",
label="Rank*",
knowl="ec.rank",
example="2")
torsion = TextBox(name="torsion",
label="Torsion order",
knowl="ec.torsion_order",
example="2")
bf_deg = SelectBox(name="bf_deg",
label="Base field degree",
knowl="nf.degree",
options=[("", ""), ("2", "2"), ("3", "3"),
("4", "4"), ("5", "5"), ("6", "6")])
tor_opts = (
[("", ""), ("[]", "trivial")] +
[disp_tor(tuple(t)) for t in ECNF_stats().torsion_counts if t])
torsion_structure = SelectBox(name="torsion_structure",
label="Torsion structure",
knowl="ec.torsion_subgroup",
options=tor_opts)
isodeg = TextBox(name="isodeg",
label="Cyclic isogeny degree",
knowl="ec.isogeny",
example="16")
count = CountBox()
self.browse_array = [[jinv], [field, bf_deg],
[conductor_norm, include_base_change],
[rank, include_Q_curves],
[torsion, torsion_structure],
[cm_disc, include_cm], [isodeg, one], [count]]
self.refine_array = [[
field, bf_deg, conductor_norm, jinv, include_base_change
], [include_Q_curves, isodeg, rank, torsion, torsion_structure],
[include_cm, cm_disc, one]]
