Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-22T17:46:42.908191

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': 23040, 'analytic_conductor': 84.96275040826649, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [1440, 1, [991, 901, 641, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[7, [-12, 1]], [11, [-20, 1]], [17, [-70, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594105038240, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 118131, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1440.4.a.q', 'level': 1440, '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, 5], 'level_radical': 30, 'minimal_twist': '480.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{5}+12q^{7}+20q^{11}-58q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1440.4.a', 'trace_display': [0, 0, 5, 12], 'trace_hash': 1419175597211319630, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '1.971', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.833', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [1, 0, 0, 0, 5, 0, 12, 0, 0, 0, 20, 0, -58, 0, 0, 0, 70, 0, -92, 0, 0, 0, -112, 0, 25, 0, 0, 0, -66, 0, -108, 0, 0, 0, 60, 0, -58, 0, 0, 0, -66, 0, -388, 0, 0, 0, 408, 0, -199, 0, 0, 0, -474, 0, 100, 0, 0, 0, 540, 0, 14, 0, 0, 0, -290, 0, -276, 0, 0, 0, 96, 0, -790, 0, 0, 0, 240, 0, 308, 0, 0, 0, 1036, 0, 350, 0, 0, 0, -1210, 0, -696, 0, 0, 0, -460, 0, 1426, 0, 0, 0, -74, 0, -1436, 0, 0, 0, -84, 0, -250, 0, 0, 0, 654, 0, -560, 0, 0, 0, 840, 0, -931, 0, 0, 0, 125, 0, 2572, 0, 0, 0, 836, 0, -1104, 0, 0, 0, -1250, 0, -2428, 0, 0, 0, -1160, 0, -330, 0, 0, 0, -1746, 0, 2092, 0, 0, 0, -540, 0, -2162, 0, 0, 0, -1344, 0, 932, 0, 0, 0, -3192, 0, 1167, 0, 0, 0, -2282, 0, 300, 0, 0, 0, 2004, 0, -4226, 0, 0, 0, -290, 0, 1400, 0, 0, 0, -2656, 0, 2162, 0, 0, 0, -3514, 0, -988, 0, 0, 0, -792, 0, -330, 0, 0, 0, -1840, 0, 3548, 0, 0, 0, -1940, 0, -1296, 0, 0, 0, -4060, 0, 732, 0, 0, 0, -5492, 0, 798, 0, 0, 0, 2886, 0, 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