Database - gps_gl2zhat_coarse

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Query: /api/gps_gl2zhat_coarse/?_offset=0

Table gps_gl2zhat_coarse

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

Column	Type	Example
CPlabel	text
Glabel	text	'768.327739'
RSZBlabel	text	'48.1536.97.3859'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 3]
canonical_conjugator	integer[]	[44, 1, 11, 2]
canonical_generators	integer[]	[[1, 8, 12, 35], [3, 8, 4, 17], [3, 8, 16, 11], [3, 8, 40, 11], [7, 32, 4, 45], [13, 8, 16, 21], [21...
cm_discriminants	integer[]	[]
coarse_class	text	'48.1536.97.uv'
coarse_class_num	integer	542
coarse_index	integer	1536
coarse_label	text	'48.1536.97.uv.7'
coarse_level	integer	48
coarse_num	integer	7
conductor	integer[]	[[2, 544], [3, 119]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[2, 8], [4, 10], [8, 1]]
cusp_widths	integer[]	[[8, 16], [16, 16], [24, 16], [48, 16]]
cusps	integer	64
determinant_label	text	'1.1.1'
dims	integer[]	[1, 2, 1, 1, 2, 1, 2, 1, 1, 4, 2, 1, 1, 1, 1, 2, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 2, 2, 2, 2, 4]
factorization	text[]	[]
fine_num	integer	0
generators	integer[]	[[5, 8, 36, 43], [19, 16, 24, 19], [31, 20, 0, 19], [35, 0, 36, 5], [47, 0, 0, 47]]
genus	integer	97
genus_minus_rank	integer	96
has_obstruction	smallint	0
index	integer	1536
isogeny_orbits	integer[]	[[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 4], [4, 2, 1], [6, 1, 3], [6, 3, 3], [8, 1, 2], [8, 2, 5], ...
kummer_orbits	integer[]	[[2, 1, 3], [3, 1, 1], [3, 3, 1], [4, 1, 4], [4, 2, 1], [6, 1, 3], [6, 3, 3], [8, 2, 2], [8, 4, 5], ...
label	text	'48.1536.97.uv.7'
lattice_labels	text[]
lattice_x	integer[]
level	integer	48
level_is_squarefree	boolean	False
level_radical	integer	6
log_conductor	numeric	507.80692857611530159901
mults	integer[]	[4, 4, 4, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1]
name	text
newforms	text[]	['24.2.a.a', '24.2.f.a', '32.2.a.a', '48.2.a.a', '48.2.c.a', '64.2.a.a', '72.2.d.b', '96.2.a.a', '96...
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, 3], [3, 2, 1], [3, 6, 1], [4, 2, 4], [4, 4, 1], [6, 2, 3], [6, 6, 3], [8, 4, 2], [8, 8, 5], ...
parents	text[]	['24.768.41.bg.5', '48.768.41.ha.5', '48.768.49.ja.7', '48.768.49.so.3', '48.768.49.sp.5', '48.768.4...
parents_conj	integer[]	[[25, 46, 42, 13], [37, 22, 6, 47], [1, 0, 0, 1], [25, 46, 30, 47], [23, 37, 6, 37], [7, 47, 33, 28]...
pointless	boolean
power	boolean	False
psl2index	integer	1536
psl2label	text	'48.1536.97.a.1'
psl2level	integer	48
q_gonality	integer
q_gonality_bounds	integer[]	[16, 32]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[16, 32]
rank	integer	1
rational_cusps	integer	0
reductions	text[]	['2.6.0.a.1', '3.4.0.a.1', '4.24.0.b.1', '6.24.0.a.1', '8.96.3.g.2', '8.96.3.g.2', '12.96.3.b.1', '2...
scalar_label	text	'24.4.4'
simple	boolean	False
sl2label	text	'48.1536.97.a.1'
sl2level	integer	48
squarefree	boolean	False
trace_hash	bigint	1410900966261309989
traces	integer[]	[2, -5, -10, 0, 4, -2, 2, 4, -8, 14, 8, 22, 26, -36, 0, 38, 4, -18, 52, 8, 10, -8, -4, 74, -94, -106...

{'CPlabel': '4C0', 'Glabel': '16.11', 'RSZBlabel': '4.6.0.4', 'RZBlabel': None, 'SZlabel': '4C0-4a', 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [2], 'canonical_conjugator': [1, 0, 3, 3], 'canonical_generators': [[0, 1, 1, 0], [0, 1, 3, 0], [2, 1, 3, 2]], 'cm_discriminants': [-3, -4, -7, -12, -28], 'coarse_class': '4.6.0.e', 'coarse_class_num': 5, 'coarse_index': 6, 'coarse_label': '4.6.0.e.1', 'coarse_level': 4, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[2, 1], [4, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[1, 0, 2, 3], [1, 1, 0, 3], [3, 1, 2, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 11, 'index': 6, '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': '4.6.0.e.1', 'lattice_labels': ['1.1.0.a.1', '2.3.0.a.1', '4.6.0.e.1'], 'lattice_x': [5000, 5000, 5000], 'level': 4, 'level_is_squarefree': False, 'level_radical': 2, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': [], 'nu2': 2, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 2290, 'num_known_degree1_noncusp_points': 2290, 'num_known_degree1_points': 2290, 'obstructions': [], 'orbits': [[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1]], 'parents': ['2.3.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 6, 'psl2label': '4.6.0.b.1', 'psl2level': 4, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['2.3.0.a.1'], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '4.6.0.b.1', 'sl2level': 4, 'squarefree': None, 'trace_hash': 0, 'traces': []}