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
RSZBlabel	text	'40.1440.97.496'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 5]
canonical_conjugator	integer[]	[39, 8, 38, 9]
canonical_generators	integer[]	[[1, 2, 4, 9], [1, 22, 4, 9], [1, 32, 14, 19], [1, 32, 34, 39], [5, 28, 6, 27], [5, 28, 26, 7], [11,...
cm_discriminants	integer[]	[]
coarse_class	text	'40.1440.97.bbv'
coarse_class_num	integer	724
coarse_index	integer	1440
coarse_label	text	'40.1440.97.bbv.1'
coarse_level	integer	40
coarse_num	integer	1
conductor	integer[]	[[2, 478], [5, 166]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[2, 4], [4, 2], [8, 2], [16, 1]]
cusp_widths	integer[]	[[20, 24], [40, 24]]
cusps	integer	48
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, ...
factorization	text[]	[]
fine_num	integer	0
generators	integer[]	[[9, 2, 30, 11], [13, 18, 30, 11], [19, 8, 10, 37], [19, 20, 0, 19], [31, 20, 20, 11]]
genus	integer	97
genus_minus_rank	integer	84
has_obstruction	smallint	1
index	integer	1440
isogeny_orbits	integer[]	[[2, 1, 3], [4, 2, 3], [5, 1, 2], [5, 4, 1], [8, 4, 3], [10, 1, 6], [10, 4, 3], [20, 2, 6], [20, 8, ...
kummer_orbits	integer[]	[[2, 1, 3], [4, 2, 3], [5, 2, 2], [5, 8, 1], [8, 8, 3], [10, 2, 6], [10, 8, 3], [20, 8, 6], [20, 32,...
label	text	'40.1440.97.bbv.1'
lattice_labels	text[]
lattice_x	integer[]
level	integer	40
level_is_squarefree	boolean	False
level_radical	integer	10
log_conductor	numeric	598.49104577171452008516
mults	integer[]	[2, 2, 2, 1, 2, 2, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, ...
name	text
newforms	text[]	['20.2.a.a', '50.2.a.a', '50.2.a.b', '64.2.a.a', '80.2.a.a', '80.2.a.b', '80.2.c.a', '100.2.a.a', '3...
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[]	[0, 11, 79]
orbits	integer[]	[[2, 1, 3], [4, 4, 3], [5, 4, 2], [5, 16, 1], [8, 16, 3], [10, 4, 6], [10, 16, 3], [20, 16, 6], [20,...
parents	text[]	['20.720.43.x.1', '40.288.17.eh.1', '40.288.17.eh.2', '40.720.43.bi.1', '40.720.47.bl.1', '40.720.47...
parents_conj	integer[]	[[33, 17, 5, 26], [9, 19, 12, 3], [1, 0, 0, 1], [1, 0, 0, 1], [33, 21, 38, 27], [1, 0, 0, 1], [1, 0,...
pointless	boolean	True
power	boolean	False
psl2index	integer	1440
psl2label	text	'40.1440.97.j.1'
psl2level	integer	40
q_gonality	integer
q_gonality_bounds	integer[]	[15, 32]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[15, 32]
rank	integer	13
rational_cusps	integer	0
reductions	text[]	['2.6.0.a.1', '4.12.0.a.1', '4.12.0.a.1', '5.30.0.a.1', '10.180.7.a.1', '20.720.43.x.1']
scalar_label	text	'5.2.1'
simple	boolean	False
sl2label	text	'40.1440.97.j.1'
sl2level	integer	40
squarefree	boolean	False
trace_hash	bigint	281648063042187486
traces	integer[]	[0, 0, 0, 4, 12, -2, -22, -4, -4, 22, 8, -10, -6, 8, -4, 38, -12, 38, -8, 16, 2, 80, 16, -6, -70, -1...

{'CPlabel': '4G0', 'Glabel': '4.2', 'RSZBlabel': '4.24.0.8', 'RZBlabel': None, 'SZlabel': '4G0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[1, 0, 0, 3], [3, 0, 0, 3]], 'cm_discriminants': [], 'coarse_class': '4.24.0.b', 'coarse_class_num': 2, 'coarse_index': 24, 'coarse_label': '4.24.0.b.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 4], [2, 1]], 'cusp_widths': [[4, 6]], 'cusps': 6, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 0, 3], [3, 0, 0, 3]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 21, 'index': 24, 'isogeny_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'kummer_orbits': [[2, 1, 3], [4, 1, 4], [4, 2, 1]], 'label': '4.24.0.b.1', 'lattice_labels': ['1.1.0.a.1', '2.2.0.a.1', '2.3.0.a.1', '2.6.0.a.1', '4.6.0.b.1', '4.6.0.c.1', '4.6.0.d.1', '4.6.0.e.1', '4.12.0.a.1', '4.12.0.b.1', '4.12.0.f.1', '4.24.0.b.1'], 'lattice_x': [5838, 7056, 4619, 6827, 4848, 2767, 685, 8807, 6472, 3350, 8807, 6472], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': 'Xsp(4)', 'newforms': [], 'nu2': 0, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 62, 'num_known_degree1_noncusp_points': 62, 'num_known_degree1_points': 62, 'obstructions': [], 'orbits': [[2, 1, 3], [4, 2, 4], [4, 4, 1]], 'parents': ['4.12.0.a.1', '4.12.0.b.1', '4.12.0.f.1'], 'parents_conj': [[1, 1, 1, 0], [1, 0, 0, 1], [1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 24, 'psl2label': '4.24.0.a.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 4, 'reductions': ['2.6.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.24.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}