Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T15:25:44.225073

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	54296
analytic_conductor	double precision	108.38893570368599
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, 1], [11, 1], [617, 1]]
atkin_lehner_string	text	'+++'
char_conductor	integer	1
char_degree	integer	1
char_is_minimal	boolean	True
char_is_real	boolean	True
char_orbit_index	smallint	1
char_orbit_label	text	'a'
char_order	integer	1
char_parity	smallint	1
char_values	jsonb	[13574, 1, [7405, 12343], [3, 3]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	1
embedded_related_objects	text[]
field_disc	numeric	1
field_disc_factorization	numeric[]	[]
field_poly	numeric[]	[0, 1]
field_poly_is_cyclotomic	boolean	False
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	0
fricke_eigenval	smallint	1
has_non_self_twist	smallint	0
hecke_cutters	jsonb
hecke_orbit	integer	3
hecke_orbit_code	bigint	9007199288308998
hecke_ring_generator_nbound	integer	1
hecke_ring_index	numeric	1
hecke_ring_index_factorization	numeric[]	[]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	1
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean	True
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'13574.2.a.c'
level	integer	13574
level_is_powerful	boolean
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean
level_is_square	boolean	False
level_is_squarefree	boolean	True
level_primes	integer[]	[2, 11, 617]
level_radical	integer	13574
minimal_twist	text	'13574.2.a.c'
nf_label	text	'1.1.1.1'
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\\cdots'
related_objects	text[]	['EllipticCurve/Q/13574/c']
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'13574.2.a'
trace_display	numeric[]	[-1, -1, 3, 0]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[1, -1, -1, 1, 3, 1, 0, -1, -2, -3, -1, -1, -2, 0, -3, 1, -2, 2, 3, 3, 0, 1, 2, 1, 4, 2, 5, 0, 4, 3,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 2673, 'analytic_conductor': 1.3340007787680155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 297, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 18, 'char_parity': -1, 'char_values': [2673, 18, [2432, 244], [14, 9]], 'cm_discs': [-11], 'conrey_index': 109, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 3, 12, 19, 15, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1099528407665, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 159503, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, -11], [1, 1, 27, 5, 1, 9, 0], [1, 1, 297, 17, -1, 18, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '2673.1.q.a', 'level': 2673, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '297.1.q.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 17, 'projective_field': [-352, 396, -270, 105, -72, 54, -18, 0, 0, 1], 'projective_field_label': '9.1.459450093735369.1', 'projective_image': 'D9', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{18}q^{4}+(-1+\\zeta_{18}^{5})q^{5}-\\zeta_{18}^{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-11], 'self_twist_type': 1, 'space_label': '2673.1.q', 'trace_display': [0, 0, -6, 0], 'trace_hash': 1331206132054966552, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 4}, {'__RealLiteral__': 0, 'data': '6.093', 'prec': 14}, {'__RealLiteral__': 0, 'data': '-0.263', 'prec': 10}, {'__RealLiteral__': 0, 'data': '270.420', 'prec': 20}, {'__RealLiteral__': 0, 'data': '-13.710', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22448.661', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.726', 'prec': 10}, 'traces': [6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, -3, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, -3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -6, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -6, 0, 0, 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