Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-08-25T22:48:50.136454

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': 11664, 'analytic_conductor': 35.31344226109448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1296, 6, [1135, 325, 1217], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 593, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [81, 0, -9, 0, 1]], [7, [25, -5, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533496208295184, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'id': 112717, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 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': False, 'label': '1296.3.q.j', 'level': 1296, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '27.3.b.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta_1 q^{5}+5\\beta_{2} q^{7}+(-5\\beta_{3}+5\\beta_1)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1296.3.q', 'trace_display': [0, 0, 0, 10], 'trace_hash': 1655161468179075929, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.795', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.782', 'prec': 10}, {'__RealLiteral__': 0, 'data': '89.899', 'prec': 17}, {'__RealLiteral__': 0, 'data': '33.290', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3320.088', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 260, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, 340, 0, 0, 0, 0, 0, 656, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 820, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 540, 0, 0, 0, 0, 0, -430, 0, 0, 0, 0, 0, 892, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -632, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -260, 0, 0, 0, 0, 0, 452, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 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