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	'40A17'
Glabel	text
RSZBlabel	text	'40.240.17.510'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 5]
canonical_conjugator	integer[]	[6, 15, 25, 1]
canonical_generators	integer[]	[[1, 1, 22, 39], [1, 3, 4, 23], [1, 3, 4, 31], [1, 4, 16, 25], [1, 7, 12, 15], [1, 9, 6, 35], [1, 12...
cm_discriminants	integer[]	[]
coarse_class	text	'40.240.17.zm'
coarse_class_num	integer	663
coarse_index	integer	240
coarse_label	text	'40.240.17.zm.1'
coarse_level	integer	40
coarse_num	integer	1
conductor	integer[]	[[2, 85], [5, 34]]
contains_negative_one	boolean	True
curve_label	text
cusp_orbits	integer[]	[[4, 2]]
cusp_widths	integer[]	[[20, 4], [40, 4]]
cusps	integer	8
determinant_label	text	'1.1.1'
dims	integer[]	[1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1]
factorization	text[]	[]
fine_num	integer	0
generators	integer[]	[[1, 38, 14, 15], [5, 14, 34, 23], [23, 22, 9, 17]]
genus	integer	17
genus_minus_rank	integer	8
has_obstruction	smallint	1
index	integer	240
isogeny_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 6, 1], [8, 4, 1], [8, 8, 1], [10, 6, 1], [10, 12, 1...
kummer_orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 2, 1], [4, 4, 1], [5, 12, 1], [8, 8, 1], [8, 16, 1], [10, 12, 1], [10, 24...
label	text	'40.240.17.zm.1'
lattice_labels	text[]
lattice_x	integer[]
level	integer	40
level_is_squarefree	boolean	False
level_radical	integer	10
log_conductor	numeric	113.63839937035476403689
mults	integer[]	[1, 3, 2, 1, 1, 1, 1, 2, 1, 2, 1]
name	text
newforms	text[]	['50.2.a.b', '400.2.a.a', '400.2.a.f', '800.2.a.c', '800.2.a.g', '1600.2.a.b', '1600.2.a.ba', '1600....
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, 7]
orbits	integer[]	[[2, 1, 1], [2, 2, 1], [4, 4, 1], [4, 8, 1], [5, 24, 1], [8, 16, 1], [8, 32, 1], [10, 24, 1], [10, 4...
parents	text[]	['40.48.1.jq.1', '40.120.8.ea.1', '40.120.8.eg.1', '40.120.8.gn.1', '40.120.8.gs.1', '40.120.9.dy.1'...
parents_conj	integer[]	[[1, 0, 0, 1], [30, 19, 29, 18], [34, 7, 3, 22], [28, 27, 23, 25], [22, 33, 15, 1], [34, 37, 31, 30]...
pointless	boolean	True
power	boolean	False
psl2index	integer	240
psl2label	text	'40.240.17.a.1'
psl2level	integer	40
q_gonality	integer
q_gonality_bounds	integer[]	[5, 8]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[5, 8]
rank	integer	9
rational_cusps	integer	0
reductions	text[]	['2.3.0.a.1', '4.12.0.e.1', '5.5.0.a.1', '8.24.0.bm.1', '10.15.1.a.1', '20.60.4.u.1']
scalar_label	text	'1.1.1'
simple	boolean	False
sl2label	text	'40.240.17.a.1'
sl2level	integer	40
squarefree	boolean	False
trace_hash	bigint	646791524636866002
traces	integer[]	[1, -8, 0, 8, 0, 6, -34, -8, 0, 10, -32, 30, -6, 8, 24, -50, -24, -22, -16, 24, 6, -8, -48, 42, -18,...

{'CPlabel': '7C1', 'Glabel': '24.10', 'RSZBlabel': '7.84.1.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '7Ns.6.1.2', 'all_degree1_points_known': None, 'bad_primes': [7], 'canonical_conjugator': [1, 0, 0, 1], 'canonical_generators': [[0, 1, 6, 0], [0, 2, 2, 0], [0, 3, 4, 0]], 'cm_discriminants': [-3], 'coarse_class': '7.84.1.a', 'coarse_class_num': 1, 'coarse_index': 84, 'coarse_label': '7.84.1.a.1', 'coarse_level': 7, 'coarse_num': 1, 'conductor': [[7, 2]], 'contains_negative_one': True, 'curve_label': '49.a2', 'cusp_orbits': [[3, 2], [6, 1]], 'cusp_widths': [[7, 12]], 'cusps': 12, 'determinant_label': '1.1.1', 'dims': [1], 'factorization': [], 'fine_num': 0, 'generators': [[0, 4, 3, 0], [2, 0, 0, 5]], 'genus': 1, 'genus_minus_rank': 1, 'has_obstruction': -1, 'id': 796255, 'index': 84, 'isogeny_orbits': [[7, 2, 2], [7, 4, 1]], 'kummer_orbits': [[7, 6, 2], [7, 12, 1]], 'label': '7.84.1.a.1', 'lattice_labels': ['1.1.0.a.1', '7.21.0.a.1', '7.28.0.a.1', '7.42.1.b.1', '7.84.1.a.1'], 'lattice_x': [4835, 2582, 7418, 2363, 4890], 'level': 7, 'level_is_squarefree': True, 'level_radical': 7, 'log_conductor': {'__RealLiteral__': 0, 'data': '3.89182029811062661021', 'prec': 70}, 'mults': [1], 'name': None, 'newforms': ['49.2.a.a'], 'nu2': 4, 'nu3': 0, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 6, 'num_known_degree1_noncusp_points': 6, 'num_known_degree1_points': 6, 'obstructions': [], 'orbits': [[7, 12, 2], [7, 24, 1]], 'parents': ['7.28.0.a.1', '7.42.1.b.1'], 'parents_conj': [[1, 0, 0, 1], [5, 3, 3, 0]], 'pointless': False, 'power': True, 'psl2index': 84, 'psl2label': '7.84.1.a.1', 'psl2level': 7, 'q_gonality': 2, 'q_gonality_bounds': [2, 2], 'qbar_gonality': 2, 'qbar_gonality_bounds': [2, 2], 'rank': 0, 'rational_cusps': 0, 'reductions': [], 'scalar_label': '1.1.1', 'simple': True, 'sl2label': '7.84.1.a.1', 'sl2level': 7, 'squarefree': True, 'trace_hash': 1094831497817794886, 'traces': [1, 0, 0, 0, 4, 0, 0, 0, 8, 2, 0, -6, 0, -12, 0, -10, 0, 0, 4, 16, 0, 8, 0, 0, 0, 0, 0, -20, 18, 2, 16, 0, -10, 0, 22, -24, 0, -20, 0, 0, 4, 0, 8, 18, -26, 0, -12, 0, 0, 0, 22, 16, 0, 0, 0, 32, 0, 0, -10, -26, 0, 0, 0, 0, 0, -34, 36, 30, 4, 0, 0, 8, 0, 22, -12, 0, -38, 0, -34, 0, 0, -26, 32, 0, 0, -20, 2, -6, 0, -40, 0, 0, -24, 44, 36, 0, 0, 0, 0, -34, 44, 46, 0, 22, 4, 0, 0, 0, 32, 0, 0, -38, -26, 0, 16, 46, 0, 0, 50, 44, 0, 30, 0, -52, 0, 2, -6, 0, 0, 0, -52, -40, -48, -54, 0, 0, 0, 0, 0, -38, 0, 22, 32, 44, 0, 0, 0, 0, 0, 8, 50, 0, -12, 0, 60, 16, -48, 0, 0, 0, -20, 58, -40, 0, 46, 0, -24, 0]}