Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-22T14:58:58.730435

Query: /api/mf_newforms/?_offset=0

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

{'Nk2': 9216, 'analytic_conductor': 44.98344366971353, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [144, 1, [127, 37, 65], [1, 1, 1]], 'cm_discs': [-3], '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]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398643699856, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 23732, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '144.8.a.e', 'level': 144, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '36.8.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+508q^{7}-14614q^{13}+57448q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '7.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '144.8.a', 'trace_display': [0, 0, 0, 508], 'trace_hash': 1376936879790614608, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.946', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '2.786', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.163', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 10}, 'traces': [1, 0, 0, 0, 0, 0, 508, 0, 0, 0, 0, 0, -14614, 0, 0, 0, 0, 0, 57448, 0, 0, 0, 0, 0, -78125, 0, 0, 0, 0, 0, -178916, 0, 0, 0, 0, 0, 279710, 0, 0, 0, 0, 0, -1035224, 0, 0, 0, 0, 0, -565479, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3535546, 0, 0, 0, 0, 0, 385072, 0, 0, 0, 0, 0, -6274810, 0, 0, 0, 0, 0, -8763044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7423912, 0, 0, 0, 0, 0, 12245198, 0, 0, 0, 0, 0, -8026220, 0, 0, 0, 0, 0, -16824022, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19487171, 0, 0, 0, 0, 0, 45125620, 0, 0, 0, 0, 0, 29183584, 0, 0, 0, 0, 0, 55325104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77038916, 0, 0, 0, 0, 0, 82011398, 0, 0, 0, 0, 0, 87366376, 0, 0, 0, 0, 0, 150820479, 0, 0, 0, 0, 0, -39687500, 0, 0, 0, 0, 0, -39803374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96518014, 0, 0, 0, 0, 0, 144784612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 220580656, 0, 0, 0, 0, 0, -90889328, 0, 0, 0, 0, 0, -262896956, 0, 0, 0, 0, 0, -201186238, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57587054, 0, 0, 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