Database - mf_newforms ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-10T22:04:41.261565

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': 10.10418064821778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [63, 3, [29, 10], [3, 1]], 'cm_discs': [-3], 'conrey_index': 37, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874605940799, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 11850, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 7, 3, 1, 3, 0], [1, 1, 21, 8, -1, 6, 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': True, 'label': '63.6.e.b', 'level': 63, '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': '63.6.e.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2^{5}\\zeta_{6}q^{4}+(-149+87\\zeta_{6})q^{7}-427q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.1.d3', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '63.6.e', 'trace_display': [0, 0, 0, -211], 'trace_hash': 691163857172378441, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.374', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.342', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.910', 'prec': 17}, {'__RealLiteral__': 0, 'data': '211.481', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [2, 0, 0, 32, 0, 0, -211, 0, 0, 0, 0, 0, -854, 0, 0, -1024, 0, 0, -3143, 0, 0, 0, 0, 0, 3125, 0, 0, -7552, 0, 0, -2723, 0, 0, 0, 0, 0, 6661, 0, 0, 0, 0, 0, 44950, 0, 0, 0, 0, 0, 10907, 0, 0, -13664, 0, 0, 0, 0, 0, 0, 0, 0, 38626, 0, 0, -65536, 0, 0, 37939, 0, 0, 0, 0, 0, 78127, 0, 0, -201152, 0, 0, -90857, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90097, 0, 0, 0, 0, 0, -268772, 0, 0, -100000, 0, 0, 211477, 0, 0, 0, 0, 0, 247843, 0, 0, -25600, 0, 0, 0, 0, 0, 0, 0, 0, 161051, 0, 0, 87136, 0, 0, 694222, 0, 0, 0, 0, 0, -78575, 0, 0, 0, 0, 0, -909314, 0, 0, 0, 0, 0, 0, 0, 0, 426304, 0, 0, 408724, 0, 0, 0, 0, 0, -109214, 0, 0, 0, 0, 0, -678248, 0, 0, 0, 0, 0, -377928, 0, 0, 719200, 0, 0, -737500, 0, 0, 0, 0, 0, -1706054, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -656375, 0, 0, 1055648, 0, 0, 912268, 0, 0, 0, 0, 0, 0, 0, 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69403726, 0, 0, 0, 0, 0, 10594150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33360229, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21214422, 0, 0, 41503168, 0, 0, -64690622, 0, 0, 0, 0, 0, 95932627, 0, 0, 39553024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85891904, 0, 0, -60552827, 0, 0, 0, 0, 0, -60472811, 0, 0, 0], 'weight': 6, 'weight_parity': 1}