Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-06-24T13:15:46.026514

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': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 189, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 18, 'char_parity': 1, 'char_values': [567, 18, [407, 325], [7, 9]], 'cm_discs': [], 'conrey_index': 62, 'dim': 132, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 2061617857079, 'id': 65599, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 27, 6, -1, 18, 0], [1, 1, 189, 31, 1, 18, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '567.2.be.a', 'level': 567, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.be.a', 'prim_orbit_index': 31, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '1.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.be', 'trace_display': [12, 0, 0, -6], 'traces': [132, 12, 0, -12, 0, 0, -6, 18, 0, 0, 18, 0, 0, -3, 0, -24, 0, 0, 0, 0, 0, -12, -12, 0, -12, 0, 0, -12, 48, 0, 0, 6, 0, 0, 36, 0, -6, 0, 0, 0, 0, 0, -12, 18, 0, -6, 0, 0, -24, -18, 0, 0, 0, 0, 0, -57, 0, -12, 0, 0, 0, 0, 0, 18, -78, 0, -12, 0, 0, -69, -18, 0, 0, 6, 0, 0, 57, 0, 24, 0, 0, 0, 0, 0, 54, 42, 0, -72, 0, 0, 6, 120, 0, 0, -126, 0, 0, -126, 0, 6, 0, 0, 0, 0, 0, 102, 0, 0, -24, 0, 0, -99, 234, 0, 0, -360, 0, 0, -144, 0, 6, 0, 0, 0, 0, 0, -6, 84, 0, -168, 0, 0, -54, 0, 0, 0, -168, 0, 0, -288, 0, 12, 0, 0, 0, 0, 0, 192, 150, 0, -102, 0, 0, -3, -168, 0, 0, 180, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 150, 234, 0, -6, 0, 0, 36, -228, 0, 0, 342, 0, 0, 312, 0, 72, 0, 0, 0, 0, 0, -144, 48, 0, 42, 0, 0, 87, 72, 0, 0, 456, 0, 0, 246, 0, -66, 0, 0, 0, 0, 0, 6, -306, 0, 48, 0, 0, 6, 54, 0, 0, 18, 0, 0, 171, 0, -6, 0, 0, 0, 0, 0, -72, -306, 0, -6, 0, 0, 189, -108, 0, 0, 0, 0, 0, 42, 0, -126, 0, 0, 0, 0, 0, -6, -384, 0, -36, 0, 0, 123, -126, 0, 0, -108, 0, 0, 45, 0, -78, 0, 0, 0, 0, 0, -30, -222, 0, -66, 0, 0, -21, 138, 0, 0, -438, 0, 0, 81, 0, 24, 0, 0, 0, 0, 0, 42, 0, 0, -24, 0, 0, 75, 294, 0, 0, -522, 0, 0, -390, 0, -222, 0, 0, 0, 0, 0, -6, 174, 0, 96, 0, 0, 171, 0, 0, 0, -312, 0, 0, -240, 0, -156, 0, 0, 0, 0, 0, -102, 612, 0, 270, 0, 0, -39, -534, 0, 0, 312, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -42, 342, 0, -48, 0, 0, 90, -90, 0, 0, 1062, 0, 0, 210, 0, 240, 0, 0, 0, 0, 0, -24, 450, 0, 222, 0, 0, -15, 162, 0, 0, 354, 0, 0, 594, 0, 444, 0, 0, 0, 0, 0, -66, 90, 0, 96, 0, 0, 96, 102, 0, 0, 354, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -30, -630, 0, 42, 0, 0, -159, -204, 0, 0, 0, 0, 0, 33, 0, 84, 0, 0, 0, 0, 0, -108, -96, 0, 90, 0, 0, -30, -36, 0, 0, -468, 0, 0, -228, 0, -48, 0, 0, 0, 0, 0, -264, -318, 0, 372, 0, 0, 51, 444, 0, 0, -450, 0, 0, -423, 0, -6, 0, 0, 0, 0, 0, -630, 0, 0, 192, 0, 0, 213, 240, 0, 0, -684, 0, 0, -378, 0, 6, 0, 0, 0, 0, 0, -114, 150, 0, 390, 0, 0, 36, 0, 0, 0, -402, 0, 0, -486, 0, -264, 0, 0, 0, 0, 0, -516, 36, 0, 24, 0, 0, 90, -618, 0, 0, 510, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -300, 576, 0, 162, 0, 0, -87, -540, 0, 0, 594, 0, 0, 735, 0, -480, 0, 0, 0, 0, 0, -120, -198, 0, -192, 0, 0, -6, -270, 0, 0, 822, 0, 0, 516, 0, -204, 0, 0, 0, 0, 0, -198, -528, 0, -300, 0, 0, 90, 24, 0, 0, 312, 0, 0, 432, 0, 66, 0, 0, 0, 0, 0, 24, -576, 0, 12, 0, 0, -372, -426, 0, 0, 0, 0, 0, 243, 0, 90, 0, 0, 0, 0, 0, -6, -1032, 0, -120, 0, 0, -294, -72, 0, 0, -132, 0, 0, -102, 0, 252, 0, 0, 0, 0, 0, 408, -426, 0, -174, 0, 0, -3, 30, 0, 0, -1248, 0, 0, -90, 0, -6, 0, 0, 0, 0, 0, 348, 0, 0, -192, 0, 0, -330, 504, 0, 0, -612, 0, 0, -486, 0, 270, 0, 0, 0, 0, 0, 102, 534, 0, -180, 0, 0, -372, 0, 0, 0, -522, 0, 0, -267, 0, 168, 0, 0, 0, 0, 0, 624, 960, 0, -204, 0, 0, -3, 210, 0, 0, 612, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 654, 1026, 0, -60, 0, 0, 213, -102, 0, 0, 972, 0, 0, 207, 0, 150, 0, 0, 0, 0, 0, 228, 582, 0, -144, 0, 0, 240, -180, 0, 0, 840, 0, 0, 456, 0, 102, 0, 0, 0, 0, 0, 258, 216, 0, 102, 0, 0, -60, 318, 0, 0, 864, 0, 0, 234, 0, -6, 0, 0, 0, 0, 0, 126, -648, 0, -6, 0, 0, 300, 624, 0, 0, 0, 0, 0, 84, 0, -96, 0, 0, 0, 0, 0, 54, -288, 0, -192, 0, 0, 327, 648, 0, 0, -1032, 0, 0, -279, 0, -174, 0, 0, 0, 0, 0, 168, -342, 0, -204, 0, 0, -57, 294, 0, 0, -1182, 0, 0, -981, 0, 42, 0, 0, 0, 0, 0, 156, 0, 0, -132, 0, 0, 351, 492, 0, 0, -1152, 0, 0, -597, 0, -192, 0, 0, 0, 0, 0, -6, 738, 0, 114, 0, 0, 87, 0, 0, 0, -288, 0, 0, -513, 0, -168, 0, 0, 0, 0, 0, 18, 450, 0, 222, 0, 0, -141, 48, 0, 0, 168, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -42, -162, 0, -102, 0, 0, -117, -282, 0, 0, 360, 0, 0, 423, 0, 756, 0, 0, 0, 0, 0, -24, 120, 0, 180, 0, 0, -9, -378, 0, 0, 1674, 0, 0, 555, 0, 780, 0, 0, 0, 0, 0, -84, -396, 0, 258, 0, 0, -192, -714, 0, 0, 546, 0, 0, 1179, 0, 264, 0, 0, 0, 0, 0, -468, -720, 0, -24, 0, 0, -156, 72, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}