Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-23T15:49:35.443096

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': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': 1, 'char_values': [567, 6, [407, 325], [3, 1]], 'cm_discs': [], 'conrey_index': 80, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [81, 0, -4644, 0, 247428, 0, -1019856, 0, 2644306, 0, -4281768, 0, 5047818, 0, -4256572, 0, 2708559, 0, -1257876, 0, 443850, 0, -115560, 0, 22899, 0, -3304, 0, 351, 0, -24, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015429335188023, 'id': 65585, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 21, 7, 1, 6, 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': '567.2.p.e', 'level': 567, '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, 7], 'level_radical': 21, 'minimal_twist': '567.2.p.e', 'prim_orbit_index': 7, 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.p', 'trace_display': [0, 0, 0, -8], 'traces': [32, 0, 0, 16, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 24, 0, 0, -16, 0, 0, -16, 0, 0, -48, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 56, 0, 0, 12, 0, 0, -4, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 12, 0, 0, -80, 0, 0, -20, 0, 0, 120, 0, 0, -36, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, 0, 36, 0, 0, 72, 0, 0, 0, 0, 0, 52, 0, 0, -12, 0, 0, -72, 0, 0, -40, 0, 0, -32, 0, 0, -36, 0, 0, 0, 0, 0, -8, 0, 0, -264, 0, 0, 16, 0, 0, -48, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -104, 0, 0, -4, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 144, 0, 0, -88, 0, 0, 52, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 144, 0, 0, 144, 0, 0, 44, 0, 0, -128, 0, 0, 120, 0, 0, 0, 0, 0, -72, 0, 0, 120, 0, 0, 152, 0, 0, 24, 0, 0, -12, 0, 0, -216, 0, 0, 0, 0, 0, -96, 0, 0, 120, 0, 0, 360, 0, 0, -24, 0, 0, 132, 0, 0, 132, 0, 0, 0, 0, 0, 36, 0, 0, 288, 0, 0, -216, 0, 0, 92, 0, 0, 28, 0, 0, -180, 0, 0, 0, 0, 0, 104, 0, 0, -156, 0, 0, -72, 0, 0, 64, 0, 0, -72, 0, 0, 228, 0, 0, 0, 0, 0, 56, 0, 0, -432, 0, 0, -192, 0, 0, -24, 0, 0, -32, 0, 0, -36, 0, 0, 0, 0, 0, 12, 0, 0, -252, 0, 0, -16, 0, 0, -12, 0, 0, 12, 0, 0, -84, 0, 0, 0, 0, 0, 80, 0, 0, 144, 0, 0, -304, 0, 0, -144, 0, 0, -20, 0, 0, -72, 0, 0, 0, 0, 0, 24, 0, 0, 108, 0, 0, -312, 0, 0, 56, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 216, 0, 0, 248, 0, 0, -72, 0, 0, 48, 0, 0, 492, 0, 0, 0, 0, 0, -132, 0, 0, 24, 0, 0, 584, 0, 0, 48, 0, 0, 288, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 256, 0, 0, -12, 0, 0, 144, 0, 0, -360, 0, 0, 0, 0, 0, 88, 0, 0, 144, 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0, 0, 120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}