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

Formats: - HTML - YAML - JSON - 2025-12-15T02:24:28.243515

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': 112, 'analytic_conductor': 0.22358112565958507, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [28, 2, [15, 17], [1, 1]], 'cm_discs': [-7], 'conrey_index': 27, 'dim': 2, 'field_disc': -7, 'field_disc_factorization': [[-1, 1], [7, 1]], 'field_poly': [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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206191984668, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 6184, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 4, 2, -1, 2, 0], [1, 1, 28, 4, 1, 2, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '28.2.d.a', 'level': 28, '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, 7], 'level_radical': 14, 'minimal_twist': '28.2.d.a', 'nf_label': '2.0.7.1', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta q^{2}+(-2+\\beta )q^{4}+(-1+2\\beta )q^{7}+\\cdots', 'related_objects': ['ModularForm/GL2/TotallyReal/2.2.28.1/holomorphic/2.2.28.1-1.1-a', 'EllipticCurve/2.2.28.1/1.1/a', 'EllipticCurve/2.0.7.1/16.1/CMa', 'EllipticCurve/2.0.7.1/16.5/CMa'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-7], 'self_twist_type': 1, 'space_label': '28.2.d', 'trace_display': [-1, 0, 0, 0], 'trace_hash': 1261740712572831350, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.859', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.057', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '291.918', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.758', 'prec': 17}, 'traces': [2, -1, 0, -3, 0, 0, 0, 5, -6, 0, 0, 0, 0, 7, 0, 1, 0, 3, 0, 0, 0, -14, 0, 0, 10, 0, 0, -7, -4, 0, 0, -11, 0, 0, 0, 9, 12, 0, 0, 0, 0, 0, 0, 14, 0, 14, 0, 0, -14, -5, 0, 0, -20, 0, 0, -7, 0, 2, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, -15, 0, -6, 0, 0, 28, 0, 0, 0, 18, 0, 0, 0, 0, -14, 0, 14, 0, 0, 0, -14, 0, 0, 0, 0, 0, 7, 0, -15, 0, 0, 0, 0, 0, 10, 0, 0, -36, 0, 0, 21, 4, 0, 0, 6, 0, 0, 0, 0, -34, 0, 0, 0, 0, -21, 0, 13, 0, 0, 0, 0, 0, 42, 0, 0, 20, 0, 0, 0, 0, 14, 0, -3, 0, 0, 0, -18, 44, 0, 0, 0, 0, -14, 0, 0, 0, -42, 0, 0, -28, -9, 0, 0, 0, 0, 0, 0, 26, 0, 0, 14, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 21, -52, 42, 0, 25, 0, 0, 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0, -34, 0, 0, 0, 0, 0, 0, -76, 0, 0, 14, 0, -84, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 26, 0, 70, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, -168, 0, 0, -90, 0, 0, 0, 0, -100, 0, 0, 0, 0, -21, 0, 0, 0, 98, 0, 0, 84, 0, 0, 0, 0, 0, 0, 49, 0, -2, 0, 45, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, -42, 0, 22, 0, 0, 0, 66, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 116, -30, 0, -70, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, -85, 0, 0, 0, 0, 0, -98, 0, 0, -92, 0, 0, 0, 108, -14, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 14, 0, 0, 0, -70, 0, 0], 'weight': 2, 'weight_parity': 1}