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

Formats: - HTML - YAML - JSON - 2025-12-28T00:37:41.786136

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': 15200, 'analytic_conductor': 30.343152768086547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [19, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3800, 1, [951, 1901, 1977, 401], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 1145261617, 'field_disc_factorization': [[1145261617, 1]], 'field_poly': [-3, -14, 15, 16, -10, -2, 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': [[3, [-3, 14, 15, -16, -10, 2, 1]], [7, [-383, 154, 223, -48, -30, 2, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345191128, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 185841, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3800.2.a.ba', 'level': 3800, '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, 5, 19], 'level_radical': 190, 'minimal_twist': '3800.2.a.ba', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(-\\beta _{1}-\\beta _{4})q^{7}+(1+\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3800.2.a', 'trace_display': [0, -2, 0, -2], 'trace_hash': 1925025278211191743, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.695', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.466', 'prec': 17}, {'__RealLiteral__': 0, 'data': '91.498', 'prec': 20}, {'__RealLiteral__': 0, 'data': '34.887', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2238.930', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [6, 0, -2, 0, 0, 0, -2, 0, 6, 0, 3, 0, 1, 0, 0, 0, 14, 0, -6, 0, 15, 0, -12, 0, 0, 0, -8, 0, 9, 0, 5, 0, -2, 0, 0, 0, 8, 0, 12, 0, 3, 0, -15, 0, 0, 0, -4, 0, 22, 0, 33, 0, -13, 0, 0, 0, 2, 0, 0, 0, 9, 0, -21, 0, 0, 0, 3, 0, -11, 0, 19, 0, -3, 0, 0, 0, 36, 0, -16, 0, 26, 0, -31, 0, 0, 0, 25, 0, 14, 0, 42, 0, -39, 0, 0, 0, 11, 0, -6, 0, 12, 0, -10, 0, 0, 0, 8, 0, 17, 0, 62, 0, 14, 0, 0, 0, 49, 0, -11, 0, 23, 0, -31, 0, 0, 0, -14, 0, 22, 0, 43, 0, 2, 0, 0, 0, 69, 0, -17, 0, -1, 0, -18, 0, 0, 0, -8, 0, 41, 0, 52, 0, 24, 0, 0, 0, 10, 0, -31, 0, 2, 0, 17, 0, 0, 0, 13, 0, 53, 0, -6, 0, -25, 0, 0, 0, 88, 0, 4, 0, -4, 0, -75, 0, 0, 0, -36, 0, 87, 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