Database - gps_gl2zhat_fine

Formats: - HTML - YAML - JSON - 2026-10-28T15:17:17.469662

Query: /api/gps_gl2zhat_fine/?_offset=0

Table gps_gl2zhat_fine

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

Column	Type	Example
CPlabel	text
Glabel	text	'1008.641'
RSZBlabel	text	'56.3072.97.1589'
RZBlabel	text
SZlabel	text
Slabel	text
all_degree1_points_known	integer
bad_primes	integer[]	[2, 7]
canonical_conjugator	integer[]	[49, 36, 52, 19]
canonical_generators	integer[]	[[1, 0, 4, 1], [1, 0, 52, 1], [9, 0, 4, 25], [23, 28, 2, 19], [25, 0, 2, 53], [25, 0, 54, 53], [53, ...
cm_discriminants	integer[]	[]
coarse_class	text	'56.1536.97.hd'
coarse_class_num	integer	186
coarse_index	integer	1536
coarse_label	text	'56.1536.97.hd.1'
coarse_level	integer	56
coarse_num	integer	1
conductor	integer[]	[[2, 416], [7, 123]]
contains_negative_one	boolean	False
curve_label	text
cusp_orbits	integer[]	[[4, 12], [8, 2]]
cusp_widths	integer[]	[[4, 16], [8, 16], [28, 16], [56, 16]]
cusps	integer	64
determinant_label	text	'1.1.1'
dims	integer[]	[1, 2, 1, 1, 2, 4, 2, 4, 1, 2, 2, 2, 4, 2, 4, 1, 1, 2, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 8, 1, 1, 1, 2, ...
factorization	text[]	[]
fine_num	integer	5
generators	integer[]	[[31, 28, 52, 15], [41, 8, 6, 21], [45, 52, 10, 51]]
genus	integer	97
genus_minus_rank	integer	87
has_obstruction	smallint	1
index	integer	3072
isogeny_orbits	integer[]	[[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 1, 1], [7, 7, 1], [8, 2, 2], [8, 4, 2], [14, 1, 3], [14, 7, 3]...
kummer_orbits	integer[]	[[2, 1, 3], [4, 1, 2], [4, 2, 2], [7, 3, 1], [7, 21, 1], [8, 2, 2], [8, 4, 1], [8, 8, 2], [14, 3, 3]...
label	text	'56.3072.97-56.hd.1.5'
lattice_labels	text[]
lattice_x	integer[]
level	integer	56
level_is_squarefree	boolean	False
level_radical	integer	14
log_conductor	numeric	527.69617544674078524553
mults	integer[]	[3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
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, 3], [4, 2, 2], [4, 4, 2], [7, 6, 1], [7, 21, 2], [8, 4, 4], [8, 8, 2], [8, 16, 1], [14, 6, 3...
parents	text[]	['56.1536.45-56.s.1.5', '56.1536.45-56.s.1.11', '56.1536.45-56.bh.2.5', '56.1536.45-56.bh.2.11', '56...
parents_conj	integer[]
pointless	boolean	True
power	boolean	False
psl2index	integer	1536
psl2label	text	'56.1536.97.a.1'
psl2level	integer	56
q_gonality	integer
q_gonality_bounds	integer[]	[16, 32]
qbar_gonality	integer
qbar_gonality_bounds	integer[]	[16, 32]
rank	integer	10
rational_cusps	integer	0
reductions	text[]	['2.6.0.a.1', '4.12.0.b.1', '7.16.0-7.a.1.1', '8.96.0-8.e.2.3', '14.96.2-14.a.1.2', '28.384.9-28.b.1...
scalar_label	text	'56.8.1'
simple	boolean	False
sl2label	text	'56.1536.97.a.1'
sl2level	integer	56
squarefree	boolean	False
trace_hash	bigint	1082927269361949616
traces	integer[]

{'CPlabel': '3B0', 'Glabel': '6.1', 'RSZBlabel': '3.8.0.1', 'RZBlabel': None, 'SZlabel': None, 'Slabel': '3B.1.1', 'all_degree1_points_known': None, 'bad_primes': [3], 'canonical_conjugator': [0, 1, 2, 2], 'canonical_generators': [[0, 2, 1, 2], [0, 2, 2, 0]], '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': [[1, 0, 0, 2], [1, 1, 0, 1]], 'genus': 0, 'genus_minus_rank': 0, 'has_obstruction': -1, 'id': 375499, 'index': 8, 'isogeny_orbits': [[3, 1, 1], [3, 3, 1]], 'kummer_orbits': [[3, 1, 1], [3, 3, 1]], 'label': '3.8.0-3.a.1.2', 'lattice_labels': None, 'lattice_x': None, 'level': 3, 'level_is_squarefree': True, 'level_radical': 3, 'log_conductor': None, 'mults': None, 'name': 'X1(3)', 'newforms': None, 'nu2': 0, 'nu3': 1, 'num_bad_primes': 1, 'num_known_degree1_noncm_points': 154632, 'num_known_degree1_noncusp_points': 154764, 'num_known_degree1_points': 154764, 'obstructions': None, 'orbits': [[3, 1, 2], [3, 6, 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': [], 'scalar_label': '3.2.1', 'simple': None, 'sl2label': '3.4.0.a.1', 'sl2level': 3, 'squarefree': None, 'trace_hash': 0, 'traces': None}