Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-08-24T02:46:47.200937

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': 2944, 'analytic_conductor': 5.876989588766237, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 184, 'char_degree': 10, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 22, 'char_parity': 1, 'char_values': [736, 22, [415, 645, 97], [22, 11, 16]], 'cm_discs': [], 'conrey_index': 49, 'dim': 220, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1580581520096, 'id': 78819, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 23, 3, 1, 11, 0], [1, 1, 184, 16, 1, 22, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '736.2.x.a', 'level': 736, '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, 23], 'level_radical': 46, 'minimal_twist': '184.2.p.a', 'prim_orbit_index': 16, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c22', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '736.2.x', 'trace_display': [0, 0, 0, 22], 'traces': [220, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 22, 0, -18, 0, 0, 0, 0, 0, 16, 0, -4, 0, 0, 0, 0, 0, 34, 0, -30, 0, 0, 0, 0, 0, 18, 0, -18, 0, 0, 0, 0, 0, 40, 0, -28, 0, 0, 0, 0, 0, 38, 0, -30, 0, 0, 0, 0, 0, -18, 0, -38, 0, 0, 0, 0, 0, 26, 0, -18, 0, 0, 0, 0, 0, 22, 0, -52, 0, 0, 0, 0, 0, 42, 0, -2, 0, 0, 0, 0, 0, 78, 0, -18, 0, 0, 0, 0, 0, 38, 0, -6, 0, 0, 0, 0, 0, -2, 0, -50, 0, 0, 0, 0, 0, -50, 0, 16, 0, 0, 0, 0, 0, 42, 0, -46, 0, 0, 0, 0, 0, -20, 0, -8, 0, 0, 0, 0, 0, -18, 0, -38, 0, 0, 0, 0, 0, -54, 0, 6, 0, 0, 0, 0, 0, -2, 0, -22, 0, 0, 0, 0, 0, -174, 0, -36, 0, 0, 0, 0, 0, -442, 0, -78, 0, 0, 0, 0, 0, -268, 0, -28, 0, 0, 0, 0, 0, -286, 0, -50, 0, 0, 0, 0, 0, -298, 0, 34, 0, 0, 0, 0, 0, -180, 0, -46, 0, 0, 0, 0, 0, -34, 0, 10, 0, 0, 0, 0, 0, 14, 0, 86, 0, 0, 0, 0, 0, 68, 0, -18, 0, 0, 0, 0, 0, -38, 0, -66, 0, 0, 0, 0, 0, 118, 0, -70, 0, 0, 0, 0, 0, -50, 0, 198, 0, 0, 0, 0, 0, 102, 0, -326, 0, 0, 0, 0, 0, -34, 0, 188, 0, 0, 0, 0, 0, -228, 0, -146, 0, 0, 0, 0, 0, 14, 0, 280, 0, 0, 0, 0, 0, 70, 0, -222, 0, 0, 0, 0, 0, 222, 0, 18, 0, 0, 0, 0, 0, 2, 0, 30, 0, 0, 0, 0, 0, 38, 0, -68, 0, 0, 0, 0, 0, 118, 0, -192, 0, 0, 0, 0, 0, 402, 0, 94, 0, 0, 0, 0, 0, 250, 0, 154, 0, 0, 0, 0, 0, 586, 0, 182, 0, 0, 0, 0, 0, 486, 0, 136, 0, 0, 0, 0, 0, 336, 0, 528, 0, 0, 0, 0, 0, 722, 0, 50, 0, 0, 0, 0, 0, 382, 0, 146, 0, 0, 0, 0, 0, 258, 0, 194, 0, 0, 0, 0, 0, 574, 0, 174, 0, 0, 0, 0, 0, 2, 0, 46, 0, 0, 0, 0, 0, -4, 0, -44, 0, 0, 0, 0, 0, 332, 0, 78, 0, 0, 0, 0, 0, -82, 0, -2, 0, 0, 0, 0, 0, 114, 0, -16, 0, 0, 0, 0, 0, -98, 0, 46, 0, 0, 0, 0, 0, 80, 0, -50, 0, 0, 0, 0, 0, 214, 0, 8, 0, 0, 0, 0, 0, -2, 0, -62, 0, 0, 0, 0, 0, -42, 0, -38, 0, 0, 0, 0, 0, -174, 0, -94, 0, 0, 0, 0, 0, -212, 0, 42, 0, 0, 0, 0, 0, -42, 0, -60, 0, 0, 0, 0, 0, -394, 0, -38, 0, 0, 0, 0, 0, -702, 0, -34, 0, 0, 0, 0, 0, -622, 0, -44, 0, 0, 0, 0, 0, -658, 0, 98, 0, 0, 0, 0, 0, -898, 0, 74, 0, 0, 0, 0, 0, -860, 0, 20, 0, 0, 0, 0, 0, -346, 0, -38, 0, 0, 0, 0, 0, -846, 0, -114, 0, 0, 0, 0, 0, -860, 0, -34, 0, 0, 0, 0, 0, -562, 0, 248, 0, 0, 0, 0, 0, -402, 0, -98, 0, 0, 0, 0, 0, -88, 0, 102, 0, 0, 0, 0, 0, -42, 0, -446, 0, 0, 0, 0, 0, 302, 0, 286, 0, 0, 0, 0, 0, -10, 0, -188, 0, 0, 0, 0, 0, 142, 0, 218, 0, 0, 0, 0, 0, -266, 0, -410, 0, 0, 0, 0, 0, -246, 0, 298, 0, 0, 0, 0, 0, 62, 0, -258, 0, 0, 0, 0, 0, -26, 0, -6, 0, 0, 0, 0, 0, 302, 0, -290, 0, 0, 0, 0, 0, 62, 0, 362, 0, 0, 0, 0, 0, 244, 0, -172, 0, 0, 0, 0, 0, 208, 0, -46, 0, 0, 0, 0, 0, 822, 0, -384, 0, 0, 0, 0, 0, 578, 0, -110, 0, 0, 0, 0, 0, 534, 0, -102, 0, 0, 0, 0, 0, 1130, 0, -384, 0, 0, 0, 0, 0, 508, 0, -260, 0, 0, 0, 0, 0, 506, 0, -222, 0, 0, 0, 0, 0, 478, 0, -30, 0, 0, 0, 0, 0, 854, 0, -266, 0, 0, 0, 0, 0, 662, 0, -290, 0, 0, 0, 0, 0, 442, 0, -278, 0, 0, 0, 0, 0, 476, 0, 50, 0, 0, 0, 0, 0, 74, 0, -118, 0, 0, 0, 0, 0, 132, 0, -122, 0, 0, 0, 0, 0, 266, 0, -50, 0, 0, 0, 0, 0, -202, 0, -222, 0, 0, 0, 0, 0, 298, 0, 84, 0, 0, 0, 0, 0, 384, 0, 110, 0, 0, 0, 0, 0, 62, 0, 60, 0, 0, 0, 0, 0, 142, 0, 34, 0, 0, 0, 0, 0, -852, 0, 62, 0, 0, 0, 0, 0, -314, 0, -150, 0, 0, 0, 0, 0, -202, 0, -112, 0, 0, 0, 0, 0, -1054, 0, -18, 0, 0, 0, 0, 0, -834, 0, 10, 0, 0, 0, 0, 0, -406, 0, 26, 0, 0, 0, 0, 0, -1270, 0, -198, 0, 0, 0, 0, 0, -754, 0, -142, 0, 0, 0, 0, 0, -592, 0, -196, 0, 0, 0, 0, 0, -998, 0, 110, 0, 0, 0, 0, 0, -666, 0, 110, 0, 0, 0, 0, 0, -650, 0, 536, 0, 0, 0, 0, 0, -1170, 0, -178, 0, 0, 0, 0, 0, -336, 0, 308, 0, 0, 0, 0, 0, -520, 0, -180, 0, 0, 0, 0, 0, -690, 0, 390, 0, 0, 0, 0, 0, 46, 0, -582, 0, 0, 0, 0, 0, -202, 0, 210, 0, 0, 0, 0, 0, 406, 0], 'weight': 2, 'weight_parity': 1}