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
RSZBlabel	text	'48.768.49.3576'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 3]
canonical_conjugator	integer[]	[29, 41, 14, 37]
canonical_generators	integer[]	[[1, 1, 44, 15], [1, 4, 8, 33], [1, 21, 44, 47], [3, 4, 32, 11], [3, 19, 44, 29], [3, 23, 16, 13], [...
cm_discriminants	integer[]	[]
coarse_class	text	'48.768.49.clq'
coarse_class_num	integer	1655
coarse_index	integer	768
coarse_label	text	'48.768.49.clq.4'
coarse_level	integer	48
coarse_num	integer	4
conductor	integer[]	[[2, 327], [3, 63]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[2, 4], [4, 6]]
cusp_widths	integer[]	[[8, 8], [16, 8], [24, 8], [48, 8]]
cusps	integer	32
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 2, 1, 4, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2]
factorization	text[]	[]
fine_num	integer	0
generators	integer[]	[[7, 28, 0, 23], [13, 3, 24, 35], [25, 15, 12, 47], [35, 37, 12, 37], [41, 43, 0, 31]]
genus	integer	49
genus_minus_rank	integer	40
has_obstruction	smallint	0
index	integer	768
isogeny_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 1], [6, 2, 1], [6, 3, 1], ...
kummer_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [3, 1, 1], [3, 3, 1], [4, 1, 2], [4, 2, 2], [6, 1, 1], [6, 2, 1], [6, 3, 1], ...
label	text	'48.768.49.clq.4'
lattice_labels	text[]
lattice_x	integer[]
level	integer	48
level_is_squarefree	boolean	False
level_radical	integer	6
log_conductor	numeric	295.87170222919302673734
mults	integer[]	[1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1]
name	text
newforms	text[]	['24.2.a.a', '48.2.a.a', '48.2.c.a', '64.2.a.a', '96.2.c.a', '192.2.a.a', '192.2.a.c', '192.2.a.d', ...
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], [3, 2, 1], [3, 6, 1], [4, 2, 2], [4, 4, 2], [6, 2, 1], [6, 4, 1], [6, 6, 1], ...
parents	text[]	['24.384.21.ei.1', '48.384.21.zm.4', '48.384.25.wc.2']
parents_conj	integer[]	[[23, 29, 12, 29], [1, 0, 0, 1], [1, 0, 0, 1]]
pointless	boolean
power	boolean	False
psl2index	integer	768
psl2label	text	'48.768.49.i.1'
psl2level	integer	48
q_gonality	integer
q_gonality_bounds	integer[]	[8, 16]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[8, 16]
rank	integer	9
rational_cusps	integer	0
reductions	text[]	['2.3.0.a.1', '3.4.0.a.1', '4.24.0.c.1', '6.12.0.a.1', '8.48.1.bm.1', '8.48.1.bm.1', '12.96.3.m.1', ...
scalar_label	text	'12.2.1'
simple	boolean	False
sl2label	text	'48.768.49.i.1'
sl2level	integer	48
squarefree	boolean	False
trace_hash	bigint	957662967114512587
traces	integer[]	[0, 3, -2, 0, -12, -34, 2, 12, -8, 22, 8, 22, 26, -12, 0, -50, -12, 46, 12, 8, -6, -8, 12, -54, 2, -...

{'CPlabel': '3B0', 'Glabel': None, 'RSZBlabel': '39.8.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': None, 'all_degree1_points_known': None, 'bad_primes': [3, 13], 'canonical_conjugator': [14, 26, 6, 7], 'canonical_generators': [[1, 0, 3, 1], [1, 3, 0, 1], [4, 3, 36, 37], [11, 0, 0, 38], [12, 26, 13, 38], [27, 13, 13, 27]], 'cm_discriminants': [-3, -12, -27], 'coarse_class': '3.4.0.a', 'coarse_class_num': 1, 'coarse_index': 4, 'coarse_label': '3.4.0.a.1', 'coarse_level': 3, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': False, 'curve_label': None, 'cusp_orbits': [[1, 2]], 'cusp_widths': [[1, 1], [3, 1]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 2, 'generators': [[5, 24, 32, 22], [20, 36, 37, 29]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 446709, 'index': 8, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1], [13, 14, 1], [39, 14, 1], [39, 42, 1]], 'kummer_orbits': [[3, 1, 1], [3, 3, 1], [13, 84, 1], [39, 168, 1], [39, 504, 1]], 'label': '39.8.0-3.a.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 39, 'level_is_squarefree': True, 'level_radical': 39, 'log_conductor': None, 'mults': None, 'name': None, 'newforms': None, 'nu2': 0, 'nu3': 1, 'num_bad_primes': 2, 'num_known_degree1_noncm_points': 154632, 'num_known_degree1_noncusp_points': 154764, 'num_known_degree1_points': 154764, 'obstructions': None, 'orbits': [[3, 2, 1], [3, 6, 1], [13, 168, 1], [39, 336, 1], [39, 1008, 1]], 'parents': [], 'parents_conj': None, 'pointless': False, 'power': None, 'psl2index': 4, 'psl2label': '3.4.0.a.1', 'psl2level': 3, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 2, 'reductions': ['1.1.0.a.1', '3.4.0.a.1'], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '3.4.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': None}