Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-20T14:57:36.983526

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': 3552, 'analytic_conductor': 7.0907156994896985, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 888, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [888, 2, [223, 445, 593, 409], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 443, 'dim': 96, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [256, 0, 10432, 0, 134784, 0, 672544, 0, 1539952, 0, 1759260, 0, 1104056, 0, 408132, 0, 92526, 0, 12984, 0, 1097, 0, 51, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510936354620280, 'id': 90591, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 37, 2, 1, 2, 0], [1, 1, 111, 4, -1, 2, 0], [1, 1, 296, 8, -1, 2, 0], [1, 1, 888, 3, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '888.2.c.d', 'level': 888, '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, 37], 'level_radical': 222, 'minimal_twist': '888.2.c.d', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 96, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '888.2.c', 'trace_display': [0, -4, 0, 0], 'traces': [96, 0, -4, 24, 0, 0, 0, 0, -4, -20, 0, -18, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -4, -64, 0, 0, 0, 0, -16, -8, 0, 42, 0, 0, 0, 44, 0, 0, 0, 0, 0, -68, 0, -94, -104, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 120, 0, 0, -40, 0, 0, -16, 0, 0, 0, 0, -32, 0, 0, -30, 0, 0, -292, 0, 0, -96, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, -4, -76, 0, -40, 0, 0, 0, 0, 0, 18, 0, 0, 0, 120, 0, 124, -32, 0, 0, 408, 0, -60, -32, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -144, 0, 58, 88, 0, 0, 0, 0, -18, 208, 0, 164, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 142, 0, 0, 0, -96, 0, 0, 0, 0, 0, -284, 0, -104, 0, 0, 0, 0, 0, 74, 0, 0, -500, 128, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -32, -296, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 38, 0, 0, 172, -216, 0, 0, 0, 0, 0, 308, 0, 212, 0, 0, 0, -344, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 128, -104, 0, 172, 0, 0, 0, -248, 0, 56, 320, 0, 0, -312, 0, 0, 0, 0, 0, -204, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -16, 0, 0, 328, 0, 0, -68, 0, 0, 0, 0, 84, 0, 0, 184, 0, 0, 0, 0, 0, 48, 360, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -212, -8, 0, -246, 0, 0, 0, 0, 0, 66, 0, 0, 0, 148, 0, -52, 304, 0, 0, 136, 0, 8, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 0, -268, 0, 0, 0, 200, 0, 130, -728, 0, -56, 0, 0, 16, 0, 0, 32, 232, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, -188, 0, 0, -384, 0, 0, 96, 0, -12, 0, 0, -40, 0, 0, 96, 0, 0, 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0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -112, -240, 0, -408, 0, 0, 0, 0, 0, 104, 0, 0, 0, 384], 'weight': 2, 'weight_parity': 1}