Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-06-14T22:28:46.475907

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': 3675, 'analytic_conductor': 1.8340639214262837, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 12, 'char_parity': -1, 'char_values': [3675, 12, [1226, 1177, 2551], [6, 9, 10]], 'cm_discs': [-15], 'conrey_index': 68, 'dim': 16, 'field_disc': 1846757322198614016, 'field_disc_factorization': [[2, 48], [3, 8]], 'field_poly': [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 48, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [16, 0, 0, 0, -48, 0, 0, 0, 140, 0, 0, 0, -12, 0, 0, 0, 1]], [13, [0, 1]], [17, [4, -4, 2, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9009329575300699, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 182864, 'inner_twist_count': 16, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 1, 5, 3, -1, 4, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 15, 5, 1, 4, 0], [1, 1, 21, 3, 1, 2, 0], [1, 1, 21, 7, 1, 6, 0], [1, 1, 35, 3, -1, 2, 0], [1, 1, 35, 6, 1, 4, 0], [1, 1, 35, 9, -1, 6, 0], [1, 1, 35, 11, 1, 12, 0], [1, 1, 35, 12, -1, 12, 0], [1, 1, 105, 11, -1, 4, 0], [1, 1, 105, 15, -1, 6, 0], [1, 1, 105, 23, -1, 12, 0], [1, 1, 105, 24, 1, 12, 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': '3675.1.bf.c', 'level': 3675, '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, 5, 7], 'level_radical': 105, 'minimal_twist': '3675.1.k.a', 'nf_label': '16.0.1846757322198614016.1', 'prim_orbit_index': 23, 'projective_field': [9, 3, 0, -7, 7, -7, 7, -4, 1], 'projective_field_label': '8.0.13897288125.2', 'projective_image': 'D8', 'projective_image_type': 'Dn', 'qexp_display': 'q+(\\zeta_{48}^{5}-\\zeta_{48}^{23})q^{2}-\\zeta_{48}^{10}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'self_twist_discs': [-15], 'self_twist_type': 1, 'space_label': '3675.1.bf', 'trace_display': [0, 0, 0, 0], 'trace_hash': 456168267604905874, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.023', 'prec': 20}, {'__RealLiteral__': 0, 'data': '12.016', 'prec': 20}, {'__RealLiteral__': 0, 'data': '-55.284', 'prec': 24}, {'__RealLiteral__': 0, 'data': '4115.922', 'prec': 27}, {'__RealLiteral__': 0, 'data': '-63209.089', 'prec': 34}, {'__RealLiteral__': 0, 'data': '2589054.506', 'prec': 37}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.929', 'prec': 17}, 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 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0], 'weight': 1, 'weight_parity': -1}