Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-25T20:39:20.942610

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	3504
analytic_conductor	double precision	1.7487238042660405
analytic_rank	smallint	0
analytic_rank_proved	boolean	True
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer	219
char_degree	integer	6
char_is_minimal	boolean	False
char_is_real	boolean	False
char_orbit_index	smallint	102
char_orbit_label	text	'dx'
char_order	integer	18
char_parity	smallint	-1
char_values	jsonb	[3504, 18, [2191, 2629, 1169, 3217], [18, 18, 9, 10]]
cm_discs	integer[]	[-3]
conrey_index	integer	689
dim	integer	6
embedded_related_objects	text[]
field_disc	numeric	-19683
field_disc_factorization	numeric[]	[[-1, 1], [3, 9]]
field_poly	numeric[]	[1, 0, 0, -1, 0, 0, 1]
field_poly_is_cyclotomic	boolean	True
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	18
fricke_eigenval	smallint
has_non_self_twist	smallint	1
hecke_cutters	jsonb	[]
hecke_orbit	integer	1
hecke_orbit_code	bigint	6940683931056
hecke_ring_generator_nbound	integer	13
hecke_ring_index	numeric	1
hecke_ring_index_factorization	numeric[]	[]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	4
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 73, 7, 1, 9, 0], [1, 1, 219, 16, -1, 18, 0]]
is_cm	boolean	True
is_largest	boolean	True
is_maximal	boolean	True
is_polredabs	boolean	True
is_rm	boolean	False
is_self_dual	boolean	False
is_self_twist	boolean	True
is_twist_minimal	boolean	False
label	text	'3504.1.dx.a'
level	integer	3504
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[2, 3, 73]
level_radical	integer	438
minimal_twist	text	'876.1.bf.a'
nf_label	text	'6.0.19683.1'
prim_orbit_index	smallint	16
projective_field	numeric[]	[-15548, -19864, -10516, 84, -842, -14, -135, 41, -1, 1]
projective_field_label	text
projective_image	text	'D9'
projective_image_type	text	'Dn'
qexp_display	text	'q-\\zeta_{18}^{6}q^{3}+(-\\zeta_{18}^{4}-\\zeta_{18}^{8})q^{7}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text
self_twist_discs	integer[]	[-3]
self_twist_type	smallint	1
space_label	text	'3504.1.dx'
trace_display	numeric[]	[0, 3, 0, 0]
trace_hash	bigint	827426940646188802
trace_moments	numeric[]	[0.029, 5.533, 1.996, 234.175, 250.564, 18956.837]
trace_zratio	numeric	0.735
traces	numeric[]	[6, 0, 3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 3, 0, 0...
weight	smallint	1
weight_parity	smallint	-1

{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [11, -1]], 'atkin_lehner_string': '++--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [13, [-4, 1]], [17, [3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170410146, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 172490, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3234.2.a.f', 'level': 3234, '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': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.i.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/3234/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-1, -1, 0, 0], 'trace_hash': 2022273184805193723, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 7}, {'__RealLiteral__': 0, 'data': '4.944', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [1, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, -1, 4, 0, 0, 1, -3, -1, 1, 0, 0, -1, -3, 1, -5, -4, -1, 0, -9, 0, -2, -1, -1, 3, 0, 1, -7, -1, -4, 0, 6, 0, 11, 1, 0, 3, 3, -1, 0, 5, 3, 4, 0, 1, 0, 0, -1, 9, -9, 0, 10, 2, 0, 1, 0, 1, -4, -3, 3, 0, 3, -1, 4, 7, 5, 1, 0, 4, -16, 0, 1, -6, 0, 0, 0, -11, 9, -1, 0, 0, 0, -3, 2, -3, 0, 1, 1, 0, 1, -5, -15, -3, 4, -4, 0, 0, -18, -1, -10, 0, 7, 0, 12, 1, 0, -9, 4, 9, 0, 0, 1, -10, -6, -2, 0, 0, -1, -1, -11, 0, -18, -1, 0, 4, 0, 3, 12, -3, 19, 0, -3, -3, 4, 1, 0, -4, 0, -7, 9, -5, -19, -1, -3, 0, 0, -4, 13, 16, 0, 0, 0, -1, 2, 6, 0, 0, -12, 0, 3, 0, 1, 11, 6, -9, 0, 1, 9, 0, -15, 0, 10, 0, -10, 3, 0, -2, -3, 3, 0, 0, 0, -1, -10, -1, 0, 0, -21, -1, -20, 5, 4, 15, 0, 3, 0, -4, -3, 4, 1, 0, -4, 0, -3, 18, 0, 1, 0, 10, -4, 0, -12, -7, -8, 0, -5, -12, -18, -1, -26, 0, 0, 9, 9, -4, 0, -9, 16, 0, -24, 0, 28, -1, -1, 10, 0, 6, 4, 2, 0, 0, -15, 0, -3, 1, 0, 1, -12, 11, 0, 0, -9, 18, -18, 1, 0, 0, 0, -4, -6, 0, 16, -3, 0, -12, -5, 3, 32, -19, -2, 0, -15, 3, -20, 3, 0, -4, 0, -1, -8, 0, -1, 4, -9, 0, 0, 7, -1, -9, -12, 5, 0, 19, 15, 1, 0, 3, 4, 0, -4, 0, 21, 4, 1, -13, 0, -16, -12, 0, -9, 0, 18, 0, -3, 1, -20, -2, 10, -6, 0, 0, -10, 0, -7, 12, 0, 0, -10, -3, -12, 0, -2, -1, 0, -11, 0, -6, 12, 9, -8, 0, -4, -1, 24, -9, 0, 0, 0, 15, -18, 0, -18, -10, -1, 0, 0, 10, 4, -3, 6, 0, 0, 2, -22, 3, 0, -3, -36, 0, 14, 0, 1, 0, -15, 1, 0, 10, 11, 1, 12, 0, 9, 0, 18, 21, 0, 1, 13, 20, 0, -5, -6, -4, -8, -15, 0, 0, -7, -3, -14, 0, -12, 4, 0, 3, 0, -4, -19, -1, -9, 0, 17, 4, 3, 0, 15, 3, 0, -18, -4, 0, -12, -1, -29, 0, 0, -10, -3, 4, 37, 0, 0, 12, 3, 7, 0, 8, -9, 0, 0, 5, 6, 12, 19, 18, 0, 1, 2, 26, 3, 0, -21, 0, 8, -9, 0, -9, 33, 4, 0, 0, -13, 9, 11, -16, -5, 0, 0, 24, -6, 0, -28, -28, 0, 1, 0, 1, -4, -10, -2, 0, -36, -6, 27, -4, 0, -2, 0, 0, -10, 0, 12, 15, -30, 0, 0, 3, -3, -1, 36, 0, 0, -1, -1, 12, 0, -11, 3, 0, -6, 0, 30, 9, 4, -18, 0, 18, 6, -1, -14, 0, -9, 0, 24, 0, 0, 4, 15, 6, 0, 0, 20, -16, -10, 3, 0, 0, -19, 12, 10, 5, -9, -3, 0, -32, 0, 19, 45, 2, 44, 0, 3, 15, 36, -3, 0, 20, 0, -3, -21, 0, 29, 4, 0, 0, 15, 1, 22, 8, 10, 0, 0, 1, 0, -4, 0, 9, -12, 0, -2, 0, 21, -7, -9, 1, 0, 9, 20, 12, 48, -5, -38, 0, -4, -19, 0, -15, -32, -1, 0, 0, 12, -3, -16, -4, 0, 0, 18, 4, -14, 0, 3, -21, 0, -4, 25, -1, -1, 13, 21, 0, -16, 16, 4, 12, 0, 0, 0, 9, 3, 0, 18, -18, 46, 0, 0, 3, -48, -1, -9, 20, 0, 2, 24, -10, 0, 6, 4, 0, -18, 0, -35, 10, 12, 0, 0, 7, 27, -12, 8, 0, 10, 0, 44, 10, 5, 3, 33, 12, 0, 0, 18, 2, 33, 1, 0, 0, 26, 11, 0, 0, -50, 6, 0, -12, 0, -9, -18, 8, -9, 0, -27, 4, -7, 1, 0, -24, 0, 9, 35, 0, -16, 0, 6, 0, 0, -15, 24, 18, -9, 0, 0, 18, -28, 10, 45, 1, 22, 0, 1, 0, -33, -10, -14, -4, 0, 3, -4, -6, -4, 0, -4, 0, 6, -2, 0, 22, 0, -3, 0, 0, 2, 3, 15, 36, 0, 0, -7, -14, 3, 0, -30, -1, 0, 0, 0, 15, -36, -1, -50, 0, 12, -10, -54, -11, 10, -1, 0, -12, 6, 0, 3, -9, 9, 0, 0, -18, -23, 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