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	'48.576.33.1141'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 3]
canonical_conjugator	integer[]	[47, 45, 19, 28]
canonical_generators	integer[]	[[1, 0, 1, 17], [1, 0, 6, 1], [1, 16, 3, 35], [7, 0, 1, 23], [7, 0, 1, 47], [7, 0, 6, 7], [7, 40, 1,...
cm_discriminants	integer[]	[]
coarse_class	text	'48.576.33.cvf'
coarse_class_num	integer	1904
coarse_index	integer	576
coarse_label	text	'48.576.33.cvf.1'
coarse_level	integer	48
coarse_num	integer	1
conductor	integer[]	[[2, 161], [3, 54]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[2, 4], [4, 6]]
cusp_widths	integer[]	[[6, 16], [12, 8], [48, 8]]
cusps	integer	32
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
factorization	text[]	[]
fine_num	integer	0
generators	integer[]	[[3, 37, 8, 15], [11, 30, 0, 11], [15, 20, 8, 3], [21, 23, 8, 39], [45, 25, 8, 33]]
genus	integer	33
genus_minus_rank	integer	26
has_obstruction	smallint	1
index	integer	576
isogeny_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [3, 2, 2], [4, 1, 2], [4, 4, 1], [6, 2, 2], [6, 4, 2], [8, 1, 2], [8, 2, 1], ...
kummer_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [3, 2, 2], [4, 1, 2], [4, 4, 1], [6, 2, 2], [6, 4, 2], [8, 2, 2], [8, 4, 1], ...
label	text	'48.576.33.cvf.1'
lattice_labels	text[]
lattice_x	integer[]
level	integer	48
level_is_squarefree	boolean	False
level_radical	integer	6
log_conductor	numeric	170.92175965822911815152
mults	integer[]	[3, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1]
name	text
newforms	text[]	['24.2.a.a', '36.2.a.a', '48.2.a.a', '64.2.a.a', '72.2.a.a', '144.2.a.b', '192.2.a.a', '192.2.a.b', ...
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[]	[19, 37]
orbits	integer[]	[[2, 1, 1], [2, 2, 1], [3, 4, 2], [4, 2, 2], [4, 8, 1], [6, 4, 2], [6, 8, 2], [8, 4, 2], [8, 8, 1], ...
parents	text[]	['24.288.13.my.1', '48.288.13.cz.1', '48.288.17.cal.1', '48.288.17.cdj.1', '48.288.17.cgt.1', '48.28...
parents_conj	integer[]	[[43, 44, 44, 17], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [1, 0, 0, 1], [29, 23, 4, 11], [41, 14,...
pointless	boolean	True
power	boolean	False
psl2index	integer	576
psl2label	text	'48.576.33.c.1'
psl2level	integer	48
q_gonality	integer
q_gonality_bounds	integer[]	[9, 16]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[9, 16]
rank	integer	7
rational_cusps	integer	0
reductions	text[]	['2.3.0.a.1', '3.6.0.b.1', '4.6.0.c.1', '6.18.0.b.1', '8.12.0.n.1', '12.72.3.cc.1', '16.24.0.h.1', '...
scalar_label	text	'1.1.1'
simple	boolean	False
sl2label	text	'48.576.33.c.1'
sl2level	integer	48
squarefree	boolean	False
trace_hash	bigint	484449948033068327
traces	integer[]	[0, 0, -2, -8, 4, -18, 10, 20, -8, 22, 16, 38, -30, 12, 0, -50, 4, -66, -28, 8, 42, -32, -4, -46, 66...

{'CPlabel': '5C0', 'Glabel': '48.5', 'RSZBlabel': '5.10.0.1', 'RZBlabel': None, 'SZlabel': '5C0-5a', 'Slabel': '5Nn', 'all_degree1_points_known': None, 'bad_primes': [5], 'canonical_conjugator': [4, 0, 0, 1], 'canonical_generators': [[0, 1, 4, 1], [0, 2, 2, 0], [2, 2, 3, 4]], 'cm_discriminants': [-3, -7, -8, -12, -27, -28, -43, -67, -163], 'coarse_class': '5.10.0.a', 'coarse_class_num': 1, 'coarse_index': 10, 'coarse_label': '5.10.0.a.1', 'coarse_level': 5, 'coarse_num': 1, 'conductor': None, 'contains_negative_one': True, 'curve_label': None, 'cusp_orbits': [[2, 1]], 'cusp_widths': [[5, 2]], 'cusps': 2, 'determinant_label': '1.1.1', 'dims': None, 'factorization': [], 'fine_num': 0, 'generators': [[3, 4, 1, 2], [4, 4, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 24, 'index': 10, 'isogeny_orbits': [[5, 6, 1]], 'kummer_orbits': [[5, 12, 1]], 'label': '5.10.0.a.1', 'lattice_labels': ['1.1.0.a.1', '5.10.0.a.1'], 'lattice_x': [5000, 5000], 'level': 5, 'level_is_squarefree': True, 'level_radical': 5, 'log_conductor': None, 'mults': None, 'name': 'Xns+(5)', 'newforms': [], 'nu2': 2, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 154, 'num_known_degree1_noncusp_points': 156, 'num_known_degree1_points': 156, 'obstructions': [], 'orbits': [[5, 24, 1]], 'parents': ['1.1.0.a.1'], 'parents_conj': [[1, 0, 0, 1]], 'pointless': False, 'power': None, 'psl2index': 10, 'psl2label': '5.10.0.a.1', 'psl2level': 5, 'q_gonality': 1, 'q_gonality_bounds': [1, 1], 'qbar_gonality': 1, 'qbar_gonality_bounds': [1, 1], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': None, 'sl2label': '5.10.0.a.1', 'sl2level': 5, 'squarefree': None, 'trace_hash': 0, 'traces': []}