Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-05-01T03:22:12.435273

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': 6336, 'analytic_conductor': 23.364756362273283, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [11, -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': [396, 1, [199, 353, 145], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 124, 'field_disc_factorization': [[2, 2], [31, 1]], 'field_poly': [-31, 0, 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': [[5, [-88, 12, 1]], [7, [20, 24, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197458702732, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 50981, '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': '396.4.a.h', 'level': 396, '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, 3, 11], 'level_radical': 66, 'minimal_twist': '396.4.a.h', 'nf_label': '2.2.124.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-6+\\beta )q^{5}+(-12+\\beta )q^{7}+11q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '396.4.a', 'trace_display': [0, 0, -12, -24], 'trace_hash': 1543495487573452958, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.263', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.754', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.906', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [2, 0, 0, 0, -12, 0, -24, 0, 0, 0, 22, 0, -8, 0, 0, 0, 28, 0, -68, 0, 0, 0, 268, 0, 70, 0, 0, 0, 260, 0, 112, 0, 0, 0, 392, 0, 316, 0, 0, 0, 124, 0, -148, 0, 0, 0, 572, 0, -150, 0, 0, 0, 76, 0, -132, 0, 0, 0, 864, 0, -136, 0, 0, 0, 1288, 0, -512, 0, 0, 0, 724, 0, 972, 0, 0, 0, -264, 0, -528, 0, 0, 0, 2112, 0, -1656, 0, 0, 0, 288, 0, 1336, 0, 0, 0, -88, 0, 500, 0, 0, 0, 972, 0, 880, 0, 0, 0, -776, 0, -136, 0, 0, 0, -1864, 0, 128, 0, 0, 0, -1824, 0, 242, 0, 0, 0, -1896, 0, -784, 0, 0, 0, 1120, 0, 320, 0, 0, 0, -3296, 0, 2156, 0, 0, 0, -88, 0, -568, 0, 0, 0, -4164, 0, -1776, 0, 0, 0, 2800, 0, -412, 0, 0, 0, -1480, 0, -568, 0, 0, 0, -1536, 0, 1838, 0, 0, 0, -5692, 0, -3816, 0, 0, 0, 1208, 0, -4188, 0, 0, 0, -7352, 0, 308, 0, 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