Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-20T23:56:54.534317

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': 684, 'analytic_conductor': 1.3654418745638945, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 171, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 18, 'char_parity': 1, 'char_values': [171, 18, [20, 154], [3, 1]], 'cm_discs': [], 'conrey_index': 2, 'dim': 108, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1992898379947, 'id': 27126, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 171, 30, 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': True, 'label': '171.2.bd.a', 'level': 171, '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, 19], 'level_radical': 57, 'minimal_twist': '171.2.x.a', 'prim_orbit_index': 30, 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '171.2.bd', 'trace_display': [-9, -9, -9, -6], 'traces': [108, -9, -9, -3, -9, -9, -6, 0, 3, -12, -9, -9, -6, -9, -9, 9, -27, -36, -15, -18, -24, -6, -9, 51, -3, 72, 0, -36, 18, 42, -9, 27, -33, -21, -45, 81, 0, -18, -18, -30, -72, -138, -27, 63, 6, -18, -9, -33, 30, 63, 39, 15, 0, 66, 3, -63, 66, -6, 99, 15, 39, -18, 36, 0, -9, -120, 27, 0, 18, -24, 0, 15, -45, 72, 0, -3, -18, -9, -6, -126, -33, -3, 0, -9, -3, -9, 33, 0, -54, -93, -9, 99, -39, 0, -9, 207, 24, 27, 3, -48, -9, 147, 0, 63, 24, 3, 81, -21, -12, 180, -18, -39, -45, 18, -24, -108, 93, -21, 36, -9, -3, -18, 87, -57, 108, -72, 6, 135, 87, -21, 45, 36, 3, 0, 18, 78, 126, -99, 48, -243, -171, 33, -180, -105, -18, -108, 96, 21, -45, -120, 0, 162, -168, -12, -36, 228, 75, 45, -171, 171, -99, 6, -6, -306, 69, 120, -153, -102, 18, 360, -120, 30, -54, -51, -84, -135, -12, 102, 0, 162, -12, -225, -90, 21, -90, -243, -150, -351, -162, -75, -54, -303, -18, -72, 63, -60, 90, 108, 9, 189, 51, 180, 297, 36, -57, -90, 216, 0, -135, 48, 18, 45, -84, -9, 0, -105, -9, -9, -9, -282, 153, 159, -15, 117, 183, -126, -45, 387, -6, 369, -72, 69, 81, -9, -6, -9, -315, -123, 0, 333, 72, 0, 171, 132, 36, 0, -9, 288, 210, 15, -99, -102, -69, 0, 36, -3, 126, 24, 0, 9, -96, -12, 261, -231, 81, -81, 306, -108, 126, 171, 51, -45, 288, 0, 90, 42, 33, 198, -123, -33, 81, -267, 51, -279, -6, 33, -189, 39, -3, 72, -18, 3, -18, 225, -3, 126, -90, -48, 126, 261, -45, 333, 243, -171, 0, 276, 6, 342, -6, -135, -207, -171, 78, -243, -267, 171, -153, 186, -69, -234, -132, -63, 333, -540, 78, -126, 120, 156, -18, -387, -117, -333, 39, 84, -414, -129, -87, -594, -114, 66, 90, -453, -126, -252, -240, 213, -54, -231, -6, 0, 213, 198, 45, -162, 51, -351, -474, 81, -261, -171, 153, -288, -204, -63, -81, 90, 18, 468, 135, 306, -81, 132, -72, 162, -99, 390, -252, 357, 0, -450, -123, 75, -162, -354, 24, -63, -108, -18, 207, -342, 246, 297, 147, -69, 117, 609, 90, -225, 207, -42, 378, 69, -213, -144, -12, -138, 90, -522, -174, 0, 99, -123, 54, 390, -42, 306, 135, -69, 126, 285, 33, -81, 75, 132, 0, 180, -75, 189, 54, 0, -189, -78, -90, 432, -156, 180, -126, 405, 108, -99, -57, -192, 171, 681, 0, 297, 33, -15, 324, 36, 156, 567, -234, 45, -108, 84, -24, -180, 300, -42, 225, 285, 57, 126, 273, 123, 324, -405, -3, 351, 219, -42, 45, -45, 114, 0, 138, -222, 432, -261, 33, -549, -144, -324, -351, -282, -81, -531, 243, -189, -72, -9, 0, 432, -297, -60, 36, 381, -321, -216, -201, -171, -279, 264, -42, -450, 69, 84, -252, -654, -90, 558, -387, -96, -171, 123, -6, 9, 24, -150, 0, 291, -33, -261, 9, -93, -234, -666, 177, -720, -279, -273, -270, -576, 126, -18, 69, -75, 99, -63, -171, 441, 111, -198, 288, -66, -105, -261, 468, 0, -270, -222, -261, 135, -54, -156, 297, -162, -135, 162, -102, 102, 189, 471, 171, 216, 411, 156, -27, 627, -6, 819, -63, 192, 72, 57, 105, 0, -495, 309, 0, 585, -114, 135, 69, 63, 36, 117, -45, 675, 471, 33, -342, 117, 75, 0, 54, -102, 504, 168, 0, -9, -36, 0, 486, -273, 0, 36, 531, -39, 135, 381, -84, -189, 642, 0, 162, 576, -60, 180, -537, -141, 243, -204, -24, -360, 3, -222, -414, -189, -78, 450, -150, -123, -234, 327, -243, 153, -342, -102, -99, 240, 9, -63, 90, 195, 0, 51, 219, -171, -354, 315, -459, -270, 159, -387, -243, -81, -261, 165, 150, -270, -207, 72, 585, -228, -21, 360, -15, 348, -378, -570, 639, -540, -36, -174, -756, -366, -6, -864, -69, 81, 54, -927, 120, -540, -90, -207, 81, -345, 198, 162, 108, -21, -99, 63, 78, -207, -543, 42, -81, 90, 144, -603, -492, -6, -252, -12, 18, 792, 63, -12, -144, 213, 423, 396, -324, -282, -360, 354, 0, -522, -252, 201, -450, -897, 81, 225, -264, 306, 99, -651, -90, 99, 336, -99, -108, 1005, -411, -270, 279, 6, 396, -147, 141, -522, 204, 60, 117, -555, -81, 0, 18, 387, 351, 438, 129, 828, 126, -228, 225, 354, -42, 90, 372, -318, 0, 396, -33, 9, 63, 0, 54, -306, 57, 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-192, 333, 42, 198, -378, 18, 66, 360, -468, -39, -387, 291, -123, 351, 27, 225, 0, -57, -222, 117, -36, 84, -513, -297, -483, -180, -54, -522], 'weight': 2, 'weight_parity': 1}