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

Formats: - HTML - YAML - JSON - 2026-04-16T14:57:32.469863

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': 3332, 'analytic_conductor': 1.662884622093164, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3332, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 42, 'char_parity': -1, 'char_values': [3332, 42, [1667, 885, 785], [21, 32, 21]], 'cm_discs': [-68], 'conrey_index': 135, 'dim': 24, 'field_disc': 711435861303500483618465120256, 'field_disc_factorization': [[2, 24], [3, 12], [7, 20]], 'field_poly': [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 84, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -26, 0, 231, 0, -736, 0, 999, 0, -168, 0, 421, 0, 336, 0, 192, 0, 118, 0, 49, 0, 11, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010910123265284, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 174864, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 68, 4, -1, 2, -68], [1, 1, 4, 2, -1, 2, 0], [1, 1, 17, 2, 1, 2, 0], [1, 1, 49, 7, 1, 21, 0], [1, 1, 196, 15, -1, 42, 0], [1, 1, 833, 26, 1, 42, 0], [1, 1, 3332, 55, -1, 42, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '3332.1.cc.c', 'level': 3332, '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, 7, 17], 'level_radical': 238, 'minimal_twist': '3332.1.cc.c', 'nf_label': '24.0.711435861303500483618465120256.1', 'prim_orbit_index': 55, 'projective_field': [-58321667599892480000, 0, -56544719382197043200, 0, 15789360330103062528, 0, -2934906814581374976, 0, -13868393164227969024, 0, 2759456219190257664, 0, -869135969775967488, 0, 281934406524153488, 0, -37881528795485536, 0, 3837953551741400, 0, -445928881785408, 0, 13270271982849, 0, 1499773812082, 0, 73106335421, 0, -11318825448, 0, -203772478, 0, 4353356, 0, 737450, 0, -33320, 0, -147, 0, -14, 0, 1], 'projective_image': 'D42', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{84}^{40}q^{2}+(\\zeta_{84}^{21}-\\zeta_{84}^{37})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [-68], 'self_twist_type': 1, 'space_label': '3332.1.cc', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 867096309869566512, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.091', 'prec': 20}, {'__RealLiteral__': 0, 'data': '22.767', 'prec': 20}, {'__RealLiteral__': 0, 'data': '-50.467', 'prec': 24}, {'__RealLiteral__': 0, 'data': '9791.735', 'prec': 27}, {'__RealLiteral__': 0, 'data': '-40363.486', 'prec': 34}, {'__RealLiteral__': 0, 'data': '5691322.708', 'prec': 37}], 'trace_zratio': 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