Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-20T14:54:44.031350

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': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 14, 'char_parity': -1, 'char_values': [3332, 14, [1667, 885, 785], [7, 10, 7]], 'cm_discs': [-68], 'conrey_index': 407, 'dim': 12, 'field_disc': 1157018619904, 'field_disc_factorization': [[2, 12], [7, 10]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [49, 0, -49, 0, 49, 0, 35, 0, 21, 0, 7, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009260855823620, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 174853, '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, 5, 1, 7, 0], [1, 1, 196, 11, -1, 14, 0], [1, 1, 833, 18, 1, 14, 0], [1, 1, 3332, 31, -1, 14, 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.be.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.be.c', 'nf_label': '12.0.1157018619904.1', 'prim_orbit_index': 31, 'projective_field': [316578250, 322896350, 234356465, 140041062, 35128268, -2471644, -1885569, -45292, 44394, 11774, 399, -378, 0, 0, 1], 'projective_image': 'D14', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{28}^{8}q^{2}+(\\zeta_{28}^{7}+\\zeta_{28}^{13})q^{3}-\\zeta_{28}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [-68], 'self_twist_type': 1, 'space_label': '3332.1.be', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1787940231475956964, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 7}, {'__RealLiteral__': 0, 'data': '9.728', 'prec': 14}, {'__RealLiteral__': 0, 'data': '15.518', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1008.623', 'prec': 24}, {'__RealLiteral__': 0, 'data': '7942.288', 'prec': 24}, {'__RealLiteral__': 0, 'data': '250801.556', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.762', 'prec': 10}, 'traces': [12, 2, 0, -2, 0, 0, 0, 2, -12, 0, 0, 0, -10, 0, 0, -2, -2, -16, 0, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 2, -14, 2, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -12, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -14, 0, 12, 14, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -2, 4, 0, 0, -4, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 2, -10, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 10, 0, 0, 0, 0, 14, 0, 0, 0, -10, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 18, 0, 0, 14, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 14, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -14, -14, 0, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 14, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 4, 0, 0, 4, -2, -14, 0, 0, 14, 0, 0, 0, 4, 14, 0, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 4, 10, 0, 0, -4, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -14, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 14, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 4, 2, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, -4, 0, 0, 10, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 10, 0, 0, 0, 0, -14, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, -14, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 10, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 14, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2, 10, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 10, 0, 0, 4, 2, 0, 0, 0, -14, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, -4, 14, 2, 0, -28, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 16, -4, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, -10, 10, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, -14, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -10, 0, 0, 4, 0, 0, -2, 0, 0, 0, -24, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, -14, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 14, 0, 0, 0, -4, -4, 0, 0, 0, 14, 0, 0, 14, 0, 0, 0, 0, 4, 0, 0, 0, 14, -4, 0, 0, 0, 0, 0, 0, 0, 14, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 10, 0, -2, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -14, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 14, 0, 0, 0, -10, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 2, 4, 0, 0, 0, 0, 0, -14, -4, 0, 0, 0, 10, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 0, 4, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -14, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 14, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, -2, 6, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -14, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -14, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 4, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -4, 0, 0, 0, 0, 0, 0, -22, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 4, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -2, 0, 0, 0, 14, 10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, -4, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 10, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 14, 0, -2, 14, 0, 0, -14, 0, 0, 0, 0, -4, 0, 0, 0, 14, 0, 0, 0, -10, 0, 0, 0, -4, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -4, 0, 14, 0, 0, 14, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0], 'weight': 1, 'weight_parity': -1}