Database - gps_gl2zhat_fine

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Table gps_gl2zhat_fine

Open subgroups of GL(2,Zhat) that do not necessarily contain -I

Column	Type	Example
CPlabel	text
Glabel	text	'384.17066'
RSZBlabel	text	'56.8064.265.10735'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 7]
canonical_conjugator	integer[]	[25, 8, 15, 17]
canonical_generators	integer[]	[[0, 1, 5, 24], [0, 43, 47, 24], [14, 1, 47, 10], [15, 0, 0, 15], [29, 28, 28, 29], [34, 51, 3, 54],...
cm_discriminants	integer[]	[]
coarse_class	text	'56.4032.265.oq'
coarse_class_num	integer	381
coarse_index	integer	4032
coarse_label	text	'56.4032.265.oq.1'
coarse_level	integer	56
coarse_num	integer	1
conductor	integer[]	[[2, 1261], [7, 486]]
contains_negative_one	boolean	False
curve_label	text
cusp_orbits	integer[]	[[2, 3], [4, 3], [6, 1], [12, 4], [24, 3]]
cusp_widths	integer[]	[[28, 144]]
cusps	integer	144
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 2, 1, 2, 2, 2, 4, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, ...
factorization	text[]	[]
fine_num	integer	6
generators	integer[]	[[17, 22, 0, 1], [29, 14, 42, 15], [41, 14, 14, 27], [55, 13, 28, 1]]
genus	integer	265
genus_minus_rank	integer	223
has_obstruction	smallint	1
index	integer	8064
isogeny_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 1, 2], [7, 6, 1], [8, 4, 1], [8, 8, 1], [14, 1, 2],...
kummer_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [7, 1, 3], [7, 3, 1], [7, 6, 3], [8, 8, 1], [8, 16, 1],...
label	text	'56.8064.265-56.oq.1.6'
lattice_labels	text[]
lattice_x	integer[]
level	integer	56
level_is_squarefree	boolean	False
level_radical	integer	14
log_conductor	numeric	1819.77092712697330145633
mults	integer[]	[2, 2, 2, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 3, 3, 1, 2, 1, 1, 3, 1, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 2, 2, ...
name	text
newforms	text[]
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[]
orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [7, 2, 3], [7, 6, 1], [7, 12, 3], [8, 16, 1], [8, 32, 1...
parents	text[]	['56.1152.31-56.hw.1.7', '56.1152.31-56.hw.2.6', '56.2688.89-56.qz.1.8', '56.4032.121-56.er.1.4', '5...
parents_conj	integer[]
pointless	boolean	True
power	boolean	False
psl2index	integer	4032
psl2label	text	'28.4032.265.a.1'
psl2level	integer	28
q_gonality	integer
q_gonality_bounds	integer[]	[40, 72]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[40, 72]
rank	integer	42
rational_cusps	integer	0
reductions	text[]	['2.3.0.a.1', '4.6.0.e.1', '7.168.3.b.1', '8.12.0.l.1', '14.504.19.b.1', '28.2016.133.cg.1']
scalar_label	text	'7.6.1'
simple	boolean	False
sl2label	text	'28.4032.265.a.1'
sl2level	integer	56
squarefree	boolean	False
trace_hash	bigint	677432463003009467
traces	integer[]

{'CPlabel': '2C0', 'Glabel': None, 'RSZBlabel': '40.12.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2, 5], 'canonical_conjugator': [2, 13, 5, 38], 'canonical_generators': [[1, 0, 2, 1], [1, 2, 0, 1], [9, 0, 0, 39], [19, 0, 0, 39], [23, 0, 0, 39], [37, 38, 2, 1]], 'cm_discriminants': [-4], 'coarse_class': '2.6.0.a', 'coarse_class_num': 1, 'coarse_index': 6, 'coarse_label': '2.6.0.a.1', 'coarse_level': 2, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 3]], 'cusp_widths': [[2, 3]], 'cusps': 3, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 1, 'generators': [[17, 30, 36, 21], [27, 38, 28, 33], [31, 0, 14, 7], [31, 28, 4, 3], [33, 28, 34, 11]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 637862, 'index': 12, 'isogeny_orbits': [[2, 1, 3], [4, 2, 3], [5, 6, 1], [8, 4, 3], [10, 6, 3], [20, 12, 3], [40, 24, 3]], 'kummer_orbits': [[2, 1, 3], [4, 2, 3], [5, 12, 1], [8, 8, 3], [10, 12, 3], [20, 48, 3], [40, 192, 3]], 'label': '40.12.0-2.a.1.1', 'lattice_labels': None, 'lattice_x': None, 'level': 40, 'level_is_squarefree': False, 'level_radical': 10, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 0, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 64315, 'num_known_degree1_noncusp_points': 64362, 'num_known_degree1_points': 64362, 'obstructions': None, 'orbits': [[2, 1, 3], [4, 4, 3], [5, 24, 1], [8, 16, 3], [10, 24, 3], [20, 96, 3], [40, 384, 3]], 'parents': [], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '2.6.0.a.1', 'psl2level': 2, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 3, 'reductions': ['1.1.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1', '2.6.0.a.1'], 'scalar_label': '4.2.1', 'simple': None, 'sl2label': '2.6.0.a.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': None}