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

Formats: - HTML - YAML - JSON - 2025-12-15T00:52:40.190942

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': 3267, 'analytic_conductor': 9.891033596278778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [363, 2, [122, 244], [1, 2]], 'cm_discs': [], 'conrey_index': 122, 'dim': 4, 'field_disc': 3136, 'field_disc_factorization': [[2, 6], [7, 2]], 'field_poly': [2, -8, 9, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [7, 0, 1]], [5, [8, 0, 1]], [7, [-56, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028865788772715, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'id': 47702, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 33, 4, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '363.3.b.i', 'level': 363, '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, 11], 'level_radical': 33, 'minimal_twist': '363.3.b.i', 'nf_label': '4.0.3136.2', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1+\\beta _{3})q^{3}-3q^{4}+\\beta _{3}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '363.3.b', 'trace_display': [0, -4, 0, 0], 'trace_hash': 512585685591585430, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.655', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.114', 'prec': 17}, {'__RealLiteral__': 0, 'data': '109.366', 'prec': 24}, {'__RealLiteral__': 0, 'data': '25.968', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4209.321', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.760', 'prec': 17}, 'traces': [4, 0, -4, -12, 0, 0, 0, 0, -28, 0, 0, 12, 0, 0, -32, -76, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 92, 0, 0, 0, 120, 0, 0, -224, 0, 84, -40, 0, 0, 0, 0, -224, 0, 0, 64, 0, 0, 76, 28, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 96, 0, 0, 0, 116, 0, 0, -168, 0, 352, -224, 0, 0, 0, 0, -68, 0, 0, 672, 0, 0, 68, -448, 0, 0, 0, 0, 0, 0, 0, 0, -672, 0, -120, 0, 0, 0, 296, 0, 0, -204, 0, 224, 136, 0, 0, 0, 0, -276, 0, 0, 40, 0, 0, 448, 352, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 448, 0, 0, 0, 672, 0, 0, -448, 0, 160, -224, 0, 0, 0, 0, -416, 0, 0, 532, 0, 0, -28, 120, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 480, 0, 0, 0, -56, 0, 0, -224, 0, -224, 1340, 0, 0, 0, 0, 224, 0, 0, -384, 0, 0, -192, -1048, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, -116, 0, 0, 0, -84, 0, 0, 888, 0, 168, -1568, 0, 0, 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