Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-20T16:45:59.251808

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': 3420, 'analytic_conductor': 10.354250045691282, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 380, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': -1, 'char_values': [380, 4, [191, 77, 21], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 227, 'dim': 232, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 618525622652, 'id': 49418, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 19, 2, -1, 2, 0], [1, 1, 20, 5, 1, 4, 0], [1, 1, 76, 4, 1, 2, 0], [1, 1, 95, 7, 1, 4, 0], [1, 1, 380, 10, -1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '380.3.j.a', 'level': 380, '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, 5, 19], 'level_radical': 190, 'minimal_twist': '380.3.j.a', 'prim_orbit_index': 10, 'related_objects': [], 'relative_dim': 116, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '380.3.j', 'trace_display': [0, 0, -8, 0], 'traces': [232, 0, 0, 0, -8, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, -8, 0, 0, 80, 0, 0, 0, 0, -8, 40, 0, 40, 0, -104, 0, 0, 0, 0, 0, 104, 0, 184, 0, 0, 0, 192, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 112, -280, 0, 0, 0, 216, 0, -248, 0, 0, 0, 0, -8, 0, 0, -128, 336, 0, 0, -144, -1528, 552, 0, 0, 136, 0, 0, 0, 0, 0, 0, 552, -272, 0, 0, 504, 0, 0, 0, -928, -16, -224, 0, 0, 0, 688, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, -304, 0, -192, -1976, 0, 0, 0, 40, 0, 0, 0, 0, -712, 0, 0, 312, 0, 0, 0, 632, -1360, 0, -792, 0, -816, 0, 0, 0, 0, 0, 0, 0, -248, 0, 712, 568, 0, 0, 2496, 424, -456, 0, 0, 496, 0, 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0, -11632, 0, 0, 0, 0, 0, 0, 0, -18832, 0, 10888, 1728, 0, 0, 7072, 432, 8336, 0, 0, 10864, 0, 0, 0, 0, 0, 0, -5024, 0, 0, 0, -856, 0, 0, 0, -31568, -1736, -18424, 0, 13664, 0, 1528, 0, 0, 0, 0, 0, -21976, 0, 2176, 0, 0, 0, 0, 0, 23360, -8640, 0, 0, 0, -776, 0, 0, 0, 0, -12560, 0, 0, 0, 12704, 0, 0, 8480, 0, 0, 2360, 0, 23328, 0, -5352, 0, 0, 0, 0, 12216, 5472, 0, 1176, 0, 0, 0, -2560, -17744, 0, 0, 0, 4408, 0, 0, 0], 'weight': 3, 'weight_parity': -1}