Database - mf_newforms ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-01-16T02:57:31.458921

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': 4896, 'analytic_conductor': 9.773689207404718, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 4, 'char_parity': 1, 'char_values': [1224, 4, [919, 613, 137, 649], [4, 4, 4, 1]], 'cm_discs': [], 'conrey_index': 217, 'dim': 6, 'field_disc': -269485056, 'field_disc_factorization': [[-1, 1], [2, 10], [3, 6], [19, 2]], 'field_poly': [32, -72, 81, -8, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [32, 72, 81, 8, 0, 0, 1]], [11, [8, -60, 225, -176, 72, -12, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533908508378312, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 109910, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 3, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1224.2.w.j', 'level': 1224, '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, 17], 'level_radical': 102, 'minimal_twist': '1224.2.w.i', 'nf_label': '6.0.269485056.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{5}+(-1+\\beta _{4})q^{7}+(2-\\beta _{2}-2\\beta _{4}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1224.2.w', 'trace_display': [0, 0, 0, -6], 'trace_hash': 1888535542010006357, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.084', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.940', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.842', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.271', 'prec': 24}, {'__RealLiteral__': 0, 'data': '206.876', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5201.043', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.263', 'prec': 17}, 'traces': [6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, -6, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 24, 0, -24, 0, 0, 0, 18, 0, -18, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 12, 0, 0, 0, -72, 0, 0, 0, 0, 0, 48, 0, -6, 0, 0, 0, -12, 0, 48, 0, 0, 0, -36, 0, -36, 0, 0, 0, 42, 0, 12, 0, 0, 0, 6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -6, 0, 30, 0, 0, 0, 24, 0, -6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -36, 0, 0, 0, -36, 0, 6, 0, 0, 0, 36, 0, -18, 0, 0, 0, 0, 0, -84, 0, 0, 0, -72, 0, 36, 0, 0, 0, 48, 0, -12, 0, 0, 0, -84, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 30, 0, -24, 0, 0, 0, 36, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 48, 0, -36, 0, 0, 0, 36, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 66, 0, 0, 0, -108, 0, -36, 0, 0, 0, 84, 0, -12, 0, 0, 0, 96, 0, 48, 0, 0, 0, -90, 0, 18, 0, 0, 0, 36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, -18, 0, 0, 0, 72, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, -30, 0, 0, 0, 12, 0, 60, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -78, 0, 0, 0, -144, 0, 48, 0, 0, 0, 66, 0, 108, 0, 0, 0, 96, 0, -108, 0, 0, 0, -24, 0, 72, 0, 0, 0, 24, 0, -24, 0, 0, 0, 24, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 72, 0, 6, 0, 0, 0, 0, 0, 36, 0, 0, 0, -18, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, 0, 0, -42, 0, 108, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 36, 0, 0, 0, 54, 0, -48, 0, 0, 0, 60, 0, 36, 0, 0, 0, -48, 0, -48, 0, 0, 0, 90, 0, -24, 0, 0, 0, -66, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 60, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 78, 0, 36, 0, 0, 0, 24, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -96, 0, -90, 0, 0, 0, 168, 0, 18, 0, 0, 0, 120, 0, -48, 0, 0, 0, -150, 0, 36, 0, 0, 0, 72, 0, 66, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 60, 0, 84, 0, 0, 0, 120, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, -12, 0, 12, 0, 0, 0, -48, 0, 60, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 138, 0, 0, 0, -12, 0, 12, 0, 0, 0, 12, 0, 12, 0, 0, 0, 156, 0, 204, 0, 0, 0, -54, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 60, 0, 0, 0, 72, 0, -66, 0, 0, 0, -48, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -114, 0, 0, 0, 48, 0, -48, 0, 0, 0, -24, 0, -156, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -132, 0, 0, 0, -168, 0, -12, 0, 0, 0, 90, 0, 0, 0, 0, 0, 96, 0, -180, 0, 0, 0, -84, 0, 30, 0, 0, 0, 60, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 72, 0, 18, 0, 0, 0, 144, 0, 168, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 72, 0, 0, 0, 30, 0, -84, 0, 0, 0, 126, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -24, 0, 0, 0, -192, 0, 96, 0, 0, 0, 102, 0, -120, 0, 0, 0, -24, 0, 180, 0, 0, 0, -156, 0, -120, 0, 0, 0, 66, 0, 60, 0, 0, 0, -144, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 108, 0, 12, 0, 0, 0, 0, 0, -60, 0, 0, 0, -12, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 18, 0, -60, 0, 0, 0, 48, 0, -66, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 36, 0, 0, 0, -240, 0, -30, 0, 0, 0, 108, 0, 0, 0, 0, 0, 48, 0, -48, 0, 0, 0, -138, 0, -96, 0, 0, 0, 54, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 54, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 156, 0, 0, 0, -48, 0, 120, 0, 0, 0, 36, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -36, 0, -72, 0, 0, 0, 96, 0, -108, 0, 0, 0, 144, 0, 60, 0, 0, 0, -30, 0, -18, 0, 0, 0, 48, 0, -60, 0, 0, 0, -144, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, 0, 48, 0, -228, 0, 0, 0, 120, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -30, 0, 0, 0, 72, 0, 0, 0, 0, 0, 18, 0, -96, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 18, 0, 0, 0, -48, 0, -48, 0, 0, 0, 126, 0, 156, 0, 0, 0, 48, 0, -30, 0, 0, 0, -84, 0, 102, 0, 0, 0, 192, 0, -216, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 12, 0, 0, 0, 0, 0, 204, 0, 0, 0, 72, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 132, 0, 0, 0, 66, 0, -216, 0, 0, 0, -48, 0, 42, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 36, 0, 0, 0, -216, 0, 156, 0, 0, 0, 138, 0, -30, 0, 0, 0, -108, 0, 72, 0, 0, 0, -72, 0, -24, 0, 0, 0, 36, 0, 12, 0, 0, 0, 114, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, -12, 0, 0, 0, -24, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -240, 0, 0, 0, 24, 0, 36, 0, 0, 0, 72, 0, -162, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 48, 0, -180, 0, 0, 0, -54, 0, 84, 0, 0, 0, 90, 0, 84, 0, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 108, 0, -84, 0, 0, 0, 144, 0, 60, 0, 0, 0, -84, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 66, 0, 0, 0, 132, 0, -12, 0, 0, 0, 60, 0, 228, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 60, 0, 0, 0, -288, 0, -30, 0, 0, 0, 120, 0, 0, 0, 0, 0, -48, 0, 144, 0, 0, 0, -192, 0, 0, 0, 0, 0, 192, 0, -12, 0, 0, 0, 108, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 114, 0, 24, 0, 0, 0, 96, 0, -222, 0, 0, 0, -72, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 216, 0, 0, 0, 78, 0, 36, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -240, 0, 0, 0, -48, 0, -180, 0, 0, 0, 24, 0, 204, 0, 0, 0, -60, 0, -228, 0, 0, 0, 36, 0, 84, 0, 0, 0, -108, 0, 48, 0, 0, 0, -6, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, -120, 0, 72, 0, 0, 0, -36, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 132, 0, 0, 0, -6, 0, 132, 0, 0, 0, 24, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 132, 0, 204, 0, 0, 0, -24, 0, -12, 0, 0, 0, 84, 0, 168, 0, 0, 0, 96, 0, -108, 0, 0, 0, 120, 0, 108, 0, 0, 0, -108, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 24, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 138, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -84, 0, 0, 0, -48, 0, -120, 0, 0, 0, -24, 0, -108, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 48, 0, 0, 0, -108, 0, 6, 0, 0, 0, -72, 0, -78, 0, 0, 0, -48, 0, -228, 0, 0, 0, -12, 0, 168, 0, 0, 0, 90, 0, 30, 0, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -96, 0, -6, 0, 0, 0, -12, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 120, 0, 204, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 42, 0, 0, 0, -72, 0, -84, 0, 0, 0, 156, 0, -72, 0, 0, 0, -72, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, 0, -24, 0, -180, 0, 0, 0, 48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -72, 0, 24, 0, 0, 0, -84, 0, -114, 0, 0, 0, 96, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -78, 0], 'weight': 2, 'weight_parity': 1}