Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-21T05:53:16.859544

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': 10368, 'analytic_conductor': 46.19054010613842, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [288, 2, [127, 37, 65], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 145, 'dim': 4, 'field_disc': 218489, 'field_disc_factorization': [[41, 1], [73, 2]], 'field_poly': [64, -8, -2, -1, 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, [10496, 0, 5472, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805886464288, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'id': 40126, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 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': '288.6.d.b', 'level': 288, 'level_is_powerful': True, '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], 'level_radical': 6, 'minimal_twist': '8.6.b.a', 'nf_label': '4.0.218489.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{2}q^{5}+(-24-\\beta _{3})q^{7}+(5\\beta _{1}+8\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '5.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '288.6.d', 'trace_display': [0, 0, 0, -96], 'trace_hash': 214969634383713503, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.740', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.736', 'prec': 10}, {'__RealLiteral__': 0, 'data': '69.482', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1805.276', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.507', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 2336, 0, 1556, 0, 0, 0, 0, 0, 12928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4568, 0, 0, 0, 0, 0, -54720, 0, 9828, 0, 0, 0, 0, 0, -85472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19520, 0, 0, 0, 0, 0, 206688, 0, 39976, 0, 0, 0, 0, 0, 247872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84632, 0, 0, 0, 0, 0, -259744, 0, -99576, 0, 0, 0, 0, 0, -180448, 0, 0, 0, 0, 0, 0, 0, 0, 0, -303816, 0, 0, 0, 0, 0, 154304, 0, -51332, 0, 0, 0, 0, 0, -23040, 0, 0, 0, 0, 0, 0, 0, 0, 0, -194472, 0, 0, 0, 0, 0, 331680, 0, 555200, 0, 0, 0, 0, 0, 651488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 915712, 0, 0, 0, 0, 0, -933920, 0, 303284, 0, 0, 0, 0, 0, -1532384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 690368, 0, 0, 0, 0, 0, 818432, 0, -1942904, 0, 0, 0, 0, 0, 1429152, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2067792, 0, 0, 0, 0, 0, -700448, 0, -1207296, 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-19080280, 0, 0, 0, 0, 0, -63413056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121108632, 0, 0, 0, 0, 0, -24934464, 0, -61969020, 0, 0, 0, 0, 0, 125637280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51163192, 0, 0, 0, 0, 0, -11568608, 0, 101482816, 0, 0, 0, 0, 0, -26310272, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 6, 'weight_parity': 1}