Database - gps_gl2zhat_coarse

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Table gps_gl2zhat_coarse

Open subgroups of GL(2,Zhat) that contain -I

Column	Type	Example
CPlabel	text
Glabel	text	'216.109'
RSZBlabel	text	'38.3420.226.3'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 19]
canonical_conjugator	integer[]	[14, 9, 17, 37]
canonical_generators	integer[]	[[0, 1, 37, 20], [0, 13, 13, 0], [0, 37, 1, 18]]
cm_discriminants	integer[]	[]
coarse_class	text	'38.3420.226.c'
coarse_class_num	integer	3
coarse_index	integer	3420
coarse_label	text	'38.3420.226.c.1'
coarse_level	integer	38
coarse_num	integer	1
conductor	integer[]	[[2, 98], [19, 436]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[6, 2], [9, 4], [18, 4]]
cusp_widths	integer[]	[[19, 60], [38, 60]]
cusps	integer	120
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4]
factorization	text[]	['2.3.0.a.1', '19.1140.64.c.1']
fine_num	integer	0
generators	integer[]	[[13, 0, 0, 13], [19, 18, 22, 19], [23, 11, 14, 7]]
genus	integer	226
genus_minus_rank	integer	140
has_obstruction	smallint	1
index	integer	3420
isogeny_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [19, 2, 1], [19, 3, 2], [19, 6, 2], [38, 2, 1], [38, 3, 2], [38, 4, 1], [38, ...
kummer_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [19, 18, 1], [19, 27, 2], [19, 54, 2], [38, 18, 1], [38, 27, 2], [38, 36, 1],...
label	text	'38.3420.226.c.1'
lattice_labels	text[]
lattice_x	integer[]
level	integer	38
level_is_squarefree	boolean	True
level_radical	integer	38
log_conductor	numeric	1351.70381861144268088682
mults	integer[]	[8, 4, 4, 6, 6, 6, 6, 6, 6, 8, 4, 6, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 2, 4, 3, 3]
name	text
newforms	text[]	['19.2.a.a', '38.2.a.a', '38.2.a.b', '361.2.a.a', '361.2.a.b', '361.2.a.c', '361.2.a.d', '361.2.a.e'...
nu2	integer	0
nu3	integer	0
num_bad_primes	integer	2
num_known_degree1_noncm_points	integer	0
num_known_degree1_noncusp_points	integer	0
num_known_degree1_points	integer	0
obstructions	integer[]	[5, 47]
orbits	integer[]	[[2, 1, 1], [2, 2, 1], [19, 36, 1], [19, 54, 2], [19, 108, 2], [38, 36, 1], [38, 54, 2], [38, 72, 1]...
parents	text[]	['19.1140.64.c.1', '38.855.56.a.1', '38.1140.76.b.1', '38.1710.111.a.1']
parents_conj	integer[]	[[6, 3, 13, 28], [1, 0, 0, 1], [5, 15, 8, 1], [35, 35, 4, 13]]
pointless	boolean	True
power	boolean	False
psl2index	integer	3420
psl2label	text	'38.3420.226.a.1'
psl2level	integer	38
q_gonality	integer
q_gonality_bounds	integer[]	[57, 162]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[57, 162]
rank	integer	86
rational_cusps	integer	0
reductions	text[]	['2.3.0.a.1', '19.1140.64.c.1']
scalar_label	text	'1.1.1'
simple	boolean	False
sl2label	text	'38.3420.226.a.1'
sl2level	integer	38
squarefree	boolean	False
trace_hash	bigint	703068783932326164
traces	integer[]	[-4, -14, 6, -4, 0, -4, -12, 8, 12, -24, -76, -16, -30, 26, 48, 0, -102, -34, 14, -180, 26, -100, 36...

{'CPlabel': '4E0', 'Glabel': '8.2', 'RSZBlabel': '4.12.0.10', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 1, 3, 0], 'canonical_generators': [[1, 0, 2, 1], [1, 2, 1, 1], [3, 0, 2, 3]], 'cm_discriminants': [], 'coarse_class': '4.12.0.c', 'coarse_class_num': 3, 'coarse_index': 12, 'coarse_label': '4.12.0.c.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 2]], 'cusp_widths': [[2, 2], [4, 2]], 'cusps': 4, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 1, 2, 1], [3, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': 1, 'id': 59292, 'index': 12, 'isogeny_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'kummer_orbits': [[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1]], 'label': '4.12.0.c.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.2.0.a.1', '4.6.0.a.1', '4.6.0.b.1', '4.6.0.d.1', '4.12.0.c.1'], 'lattice_x': [3350, 5370, 1330, 1576, 8670, 5123, 5123], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 1, 'num_known_degree1_noncusp_points': 1, 'num_known_degree1_points': 1, 'obstructions': [0], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['4.6.0.a.1', '4.6.0.b.1', '4.6.0.d.1'], 'parents_conj': [[1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': True, 'power': None, 'psl2index': 12, 'psl2label': '4.12.0.a.1', 'psl2level': 4, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.12.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}