LMFDB - Newform data

Formats: - HTML - YAML - JSON - 2026-10-25T11:57:41.237842

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

mf_newforms • Show schema

{'Nk2': 33524, 'analytic_conductor': 66.92262193403509, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[17, 1], [29, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8381, 1, [581, 8093], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 2, 1]], [3, [-1, 2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543044797, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8381.2.a.e', 'level': 8381, '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': [17, 29], 'level_radical': 493, 'minimal_twist': '29.2.a.a', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{2}+(-1+\\beta )q^{3}+(1-2\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8381.2.a', 'trace_display': [-2, -2, 2, 0], 'trace_hash': 611014503129881148, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 4}, {'__RealLiteral__': 0, 'data': '1.949', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.153', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '60.015', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [2, -2, -2, 2, 2, 6, 0, -6, 0, -2, -2, -10, -2, -8, -2, 6, 0, -8, 12, 2, -8, -2, 4, 10, -8, 10, -2, 16, -2, 6, -6, 6, -2, 0, 0, 16, 8, -12, 10, -6, -8, 16, 10, 6, 0, 12, 2, -6, 2, 8, 0, -18, 2, -2, -2, -8, -12, 2, 4, -10, 4, 26, 16, -14, -2, 2, 0, 0, 12, -8, 12, -8, -8, -8, 8, 12, 8, -22, 2, 6, -2, -16, 4, -24, 0, -6, 2, 2, -8, -8, -16, -28, 26, 10, 12, -2, 8, -2, 8, -8, -16, 0, -4, 14, -8, -26, 24, 6, -14, -2, -8, 0, 4, 36, 4, -2, -16, 12, 0, 10, -16, -12, -16, -46, -18, -16, -20, 10, -6, 10, -20, -2, 0, -16, -2, 0, 24, -20, -28, 16, 10, -20, -6, 0, -2, 8, -2, 8, -10, -24, 0, -36, 0, 0, -6, 34, 0, -6, -26, 6, -32, 26, -22, 40, -2, -20, 12, 32, -8, 0, 0, 2, -36, -6, 0, -6, 12, 32, 4, 16, 6, 24, -12, 4, 8, -58, 0, -22, 8, -12, 28, 22, 16, 16, 10, 2, -4, 0, -16, 24, -16, 0, 0, 0, -8, 12, -32, -6, -12, 16, 2, 50, -20, -32, 10, 2, -40, 30, 8, 6, 0, 24, -12, -8, 0, -36, -12, -60, 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-108, 0, 152, 0, 34, -10, -96, -92, 16, 16, -96, -50, 106, -36, -38, 8, 30, -64, 0, -14, -116, -32, 100, -60, -32, -82, 18, -92, -8, 20, 28, 2, 176, -120, -56, 0, -108, 144, 272, 30, 110, -2, -66, -30, 8, -64, 112, 48, 130, 32, -134, 86, 0, -32, -84, -40, -120, 12, 8, 72, -32, 48, -64, 12, -2, -86, 64, 62, 4, 0, 34, 32, 12, 16, -6, -168, 46, 28, 108, 26, -2, -74, 10, -112, 104, 18, 0, 96, -16, -32, -4, 4, -148, -56, 96, 26, 38, 40, -32, -40, 98, 48, 28, 0, -72, 44, 36, -16, -176, -96, 36, -82, -44, 60, -16, 48, 56, 2, 4, 20, 0, -116, -128, 108, 84, 0, 126, -10, 204, -2, 68, -26, -120, -94, -24, -32, -48, 0, -24, 32, 16, 38, 44, 80, -46, -58, 148, 2, -8, 26, 16, -36, 80, -80, 0, 68, -56, -96, -60, 56, -10, 32, 34, 128, -64, -52, -104, -18, 64, -32, 0, 0, 42, -4, 24, 36, 12, -106, 48, 16, 60, 96, 48, 100, 18, 144, -62, -52, 0, -12, -114, -28, 16, 144, -44, -6, 60, 56, -96, 8, 84, 20, -108, 84, -44, 0, 48, 52, 48, 32, -12, 54, -156, 32, -28, -4, 144, 0, 2, -12, 16, 28, 0, 102, 64, 100, -14, -12, 20, -2, 166, 30, 48, 64, 0, -164, -218, 2, -194, 0, 40, 32, 14, 40, -78, 52, 48, -8, 96, -10, -22, -16, -12, 120, 26, 88, 0, -146, -108, -16, -48, 50, -96, 0, 28, -60, 36, -60, -118, -48, -110, -14, 6, 0, -44, -10, 2, -64, 24, -68, -78, -40, 0, 32, -144, 44, 84, 144, 72, 16, 0, 64, -52, 90, 2, -12, -2, -96, 12, -60, 64, -20, 188, 0, -16, -8, -46, 0, -38, -36, 92, -96, 132, 86, -16, -16, 20, -176, -48, -20, -88, 36, -102, -16, 0, 4, -166, -26, 74, -8, 18, 80, 96, -4, 8, 74, 72, -50, -112, 32, -8, 0, 44, -12, -24, 0, -40, 36, -70, 22, -58, -108, 80, 112, 24, -104, 72, 8, 0, 64, 0, 30, -36, 16, -20, -70, -248, -48, 48, 4, 108, 8, 116, 102, -10, 0, -76, -2, -156, -36, -126, 176, -16, -66, -48, -68, -112, -30, -112, 4, 34, 62, 0, -60, 24, 16, -80, -28, 204, -22, -44, 52, -152, 72, 2, -36, -68, -28, 76, 0, 46, -24, 116, -8, -26, 42, 144, 0, 122, -8, -96, 4, 64, 4, -28, 80, 0, 32, -108, -34, 208, -8, 96, 30, -90], 'weight': 2, 'weight_parity': 1}

Column	Type
an	jsonb
ap	jsonb
char_orbit_index	smallint
field_poly	numeric[]
hecke_orbit_code	bigint
hecke_ring_character_values	jsonb
hecke_ring_cyclotomic_generator	integer
hecke_ring_denominators	numeric[]
hecke_ring_inverse_denominators	numeric[]
hecke_ring_inverse_numerators	numeric[]
hecke_ring_numerators	numeric[]
hecke_ring_power_basis	boolean
hecke_ring_rank	integer
label	text
level	integer
maxp	integer
weight	smallint

mf_hecke_nf • Show schema

{'an': [[1, 0], [-1, 1], [-1, 1], [1, -2], [1, 0], [3, -2], [0, -2], [-3, 1], [0, -2], [-1, 1], [-1, -1], [-5, 3], [-1, 2], [-4, 2], [-1, 1], [3, 0], [0, 0], [-4, 2], [6, 0], [1, -2], [-4, 2], [-1, 0], [2, 4], [5, -4], [-4, 0], [5, -3], [-1, -1], [8, -2], [-1, 0], [3, -2], [-3, 5], [3, 1], [-1, 0], [0, 0], [0, -2], [8, -2], [4, 0], [-6, 6], [5, -3], [-3, 1], [-4, -6], [8, -6], [5, 1], [3, 1], [0, -2], [6, -2], [1, 3], [-3, 3], [1, 0], [4, -4], [0, 0], [-9, 4], [1, -6], [-1, 0], [-1, -1], [-4, 6], [-6, 6], [1, -1], [2, 4], [-5, 3], [2, -2], [13, -8], [8, 0], [-7, 2], [-1, 2], [1, -1], [0, -4], [0, 0], [6, -2], [-4, 2], [6, -2], [-4, 6], [-4, 0], [-4, 4], [4, -4], [6, -12], [4, 2], [-11, 8], [1, -1], [3, 0], [-1, 6], [-8, 2], [2, -4], [-12, 10], [0, 0], [-3, 4], [1, -1], [1, 2], [-4, 6], [-4, 2], [-8, 2], [-14, 0], [13, -8], [5, -2], [6, 0], [-1, 2], [4, 6], [-1, 1], [4, 2], [-4, 8]], 'ap': [[-1, 1], [-1, 1], [1, 0], [0, -2], [-1, -1], [-1, 2], [0, 0], [6, 0], [2, 4], [-1, 0], [-3, 5], [4, 0], [-4, -6], [5, 1], [1, 3], [1, -6], [2, 4], [2, -2], [0, -4], [6, -2], [-4, 0], [1, -1], [2, -4], [-4, 6], [4, 6], [-8, -4], [-2, 2], [12, -2], [-7, 4], [2, -8], [-10, -4], [-10, 8], [12, 0], [-14, 0], [-5, 2], [0, 10], [0, -6], [-11, -5], [6, 2], [-18, -4], [2, 6], [3, 8], [14, -8], [8, 2], [-2, 0], [-8, -6], [1, -13], [-6, -2], [-6, -10], [-12, -6], [-7, 8], [-14, 4], [7, -8], [13, -5], [-21, -2], [7, 3], [-6, 18], [1, -11], [6, -8], [15, -12], [-6, 4], [2, -4], [-7, -7], [-14, -8], [-7, 2], [6, -18], [-1, 1], [-2, 14], [6, 6], [9, 10], [10, -12], [11, 5], [-18, 0], [-15, 8], [-10, -12], [-12, -6], [20, 12], [-25, -4], [13, -4], [-2, 12], [18, 6], [6, -22], [-14, 4], [8, -16], [6, 4], [-30, -4], [18, -12], [18, 12], [14, 0], [-26, 0], [-3, 25], [3, 7], [20, 6], [-17, 3], [-2, 12], [-13, -9], [-19, -6], [15, -10], [16, 8], [16, 4], [-16, 14], [-6, 8], [-5, -3], [-34, 4], [8, 16], [-10, 14], [2, -4], [-11, 6], [-17, -19], [20, 2], [-5, -9], [-9, 0], [-12, -8], [-35, -1], [-34, 2], [2, 14], [-24, 6], [34, -4], [16, -10], [13, -1], [22, -8], [-1, -16], [22, 0], [-4, 12], [-48, 0], [-9, 22], [-15, 10], [6, -10], [-10, -8], [4, 32], [-3, -5], [-18, 4], [-14, 8], [34, 6], [6, -28], [-18, 22], [-28, -6], [6, -34], [-2, -38], [-8, 20], [-8, 2], [-7, -6], [26, -20], [-23, 7], [-10, 14], [15, 5], [6, -12], [9, 2], [7, -9], [-14, -22], [23, -10], [-14, 0], [-4, -30], [-27, -7], [6, 20], [31, 11], [-6, -10], [-30, -8], [6, 16], [17, -28], [-21, -13], [-13, 16], [-31, 3], [-10, 4], [39, 2], [-5, -19], [10, -2], [0, 20], [-19, 6], [4, 8], [-20, 22], [-17, -8], [2, -10], [2, -8], [-26, 4], [22, 12], [0, -32], [14, -10], [-33, 17], [-26, -20], [43, -3], [-7, 7], [2, -8], [19, 30], [-28, 24], [21, 8], [-26, -14], [2, 4], [-18, 2], [-28, 6], [3, 24], [-5, 13], [21, 13], [-28, -16], [34, 20], [-2, -4], [-44, 8], [34, -4], [43, -16], [-48, -4], [-44, -6], [-26, 24], [32, 18], [4, -14], [-10, 20], [-27, -8], [7, 33], [58, 2], [-1, 26], [31, 23], [-24, -14], [22, -16], [-49, 3], [-39, 13], [-38, -16], [13, 18], [0, -4], [20, -4], [-48, -8], [-38, -4], [-26, 2], [12, 18], [-2, -4], [-3, -21], [-52, -8], [18, -4], [0, 16], [-34, 16], [17, 27], [24, 30], [-12, -8], [0, 20], [-2, -20], [-16, -28], [10, -6], [18, 28], [-22, 18], [-4, -26], [-28, 10], [7, 7], [-23, -27], [26, 30], [46, 14], [-36, 8], [18, -8], [50, -14], [18, -8], [10, 28], [-34, 22], [75, 1], [50, 2], [-17, 22], [-3, -19], [0, -28], [48, -18], [-24, -16], [16, -14], [27, 29], [54, 4], [-31, 4], [6, -8], [-55, 9], [-22, 36], [22, 26], [-18, 14], [21, 33], [-32, 12], [-6, -2], [-18, 4], [-9, 28], [7, -26], [-18, -38], [-51, 12], [-18, -28], [36, -16], [-9, -33], [-10, 12], [-55, -20], [4, -16], [-6, -32], [2, -10], [-26, -14], [20, -40], [18, 48], [-14, 16], [10, 28], [22, -26], [-32, 18], [0, -34], [57, 12], [3, 12], [-62, 4], [-19, -12], [-29, 9], [18, -40], [-15, -34], [45, 27], [21, -14], [0, -26], [-22, -12], [-2, -26], [46, -16], [-42, -24], [-41, 15], [-2, 12], [-47, 6], [7, -39], [-19, 10], [36, -10], [5, 24], [34, 32], [16, 14], [10, 16], [-34, 8], [32, 10], [-57, -4], [6, 44], [22, 2], [-3, 6], [26, -34], [15, -3], [49, -6], [14, 0], [21, -31], [-55, -12], [24, 6], [10, 30], [-48, 0], [-15, 31], [53, 16], [36, 20], [-27, 2], [-56, 0], [-22, 24], [37, 21], [-20, 12], [-10, -32], [26, -8], [6, -40], [-60, -8], [-62, -6], [-22, -36], [-2, 46], [-36, 20], [10, 28], [-33, -29], [-46, -14], [-54, 16], [37, 31], [-34, 0], [30, -20], [22, 44], [-6, 16], [10, -28], [-6, -38], [-42, 14], [-81, -1], [12, -18], [18, -14], [2, 42], [-33, 20], [7, -40], [35, 45], [-14, 50], [-27, 13], [-60, -14], [-36, -40], [86, 6], [-18, -24], [-25, -3], [-42, 2], [-24, 42], [2, 0], [-26, -52], [21, 36], [-18, 28], [-41, 15], [-46, 30], [-15, -42], [43, -2], [-20, 4], [31, -30], [-37, 21], [2, 14], [-28, -42], [20, 50], [22, -48], [-41, 6], [1, -29], [-58, 4], [54, 0], [-5, -2], [-47, -1], [19, 51], [-29, 43], [1, -54], [-40, 32], [64, -16], [-26, 6], [18, -12], [50, -28], [-26, -12], [10, 28], [27, 32], [51, 18], [50, -28], [15, 8], [-82, -14], [1, -15], [60, -20], [-30, 48], [-7, 6], [-32, 26], [22, 48], [32, -18], [-6, 0], [43, -1], [18, 54], [40, 4], [-25, -15], [-6, 64], [-54, 12], [15, 15], [51, -25], [-15, -12], [31, 16], [-14, -20], [36, 36], [-18, 16], [15, -17]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 18014398543044797, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8381.2.a.e', 'level': 8381, 'maxp': 2999, 'weight': 2}

Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
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
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newspaces • Show schema

{'ALdims': [144, 171, 171, 147], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9], 'ALdims_old': [28, 27, 31, 28], 'Nk2': 33524, 'analytic_conductor': 66.92262193403509, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8381, 1, [581, 8093], [1, 1]], 'conrey_index': 1, 'cusp_dim': 747, 'dim': 633, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33562813, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 4, 5, 6, 8, 10, 14, 14, 21, 21, 21, 21, 42, 42, 48, 48, 66, 66, 84, 84], 'label': '8381.2.a', 'level': 8381, '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': [17, 29], 'level_radical': 493, 'mf_dim': 782, 'mf_new_dim': 633, 'num_forms': 25, 'plus_dim': 291, 'prim_orbit_index': 1, 'relative_dim': 633, 'sturm_bound': 1530, 'trace_bound': 3, 'trace_display': [-1, 2, 0, 4], 'traces': [633, -1, 2, 631, 0, -6, 4, 3, 631, 12, 2, 6, 8, -4, 14, 627, 0, -15, -4, 8, 0, -2, 0, -18, 633, 8, 2, 12, 3, -2, 18, -25, -10, 0, 4, 637, 14, 24, 30, 48, 2, 0, 14, -2, 42, 4, 10, 10, 653, -5, 0, 32, 28, -22, 2, 40, 28, 1, -28, 42, 6, 2, -8, 595, 42, 30, 4, 0, -48, -12, -12, -79, -6, -38, 4, 24, -32, -46, 2, 44, 613, 6, -28, 4, 0, -94, -6, -42, 6, 10, 24, -36, -58, -10, 44, -62, 22, -13, 0, 651, -34, 0, 28, -60, -84, -48, -60, 42, 16, -78, 20, 64, -62, -20, 52, 9, -22, -20, 0, 2, 623, 38, -84, -46, 18, 76, 20, -93, -74, 2, 20, 38, 48, -12, 6, 0, -26, -100, 24, -36, -10, -8, -38, 641, -4, 6, 34, -42, -12, -84, 16, 4, 0, -84, -98, 94, 42, 38, 6, 44, 20, -89, 70, 46, 50, -168, 4, 140, 665, 0, -104, -42, -2, -6, 8, 26, 24, -58, 64, 78, 0, -76, -60, -48, 36, -2, 0, 90, -52, -96, -104, 46, 22, 26, -66, 547, -46, 12, -60, -113, -28, -18, -8, 0, 8, -80, -52, 60, -68, -48, 14, 84, -4, -140, -42, 10, 184, 4, 136, -26, 0, -96, 256, 104, 621, -42, -36, 156, 126, 56, -64, -3, -8, 86, -114, 8, 126, 0, -28, 94, 28, 37, -32, 162, -52, -20, 160, 122, -52, -10, -18, 220, -72, -236, 0, 603, 12, 70, 248, 82, 5, -52, -118, 6, 6, -4, -112, 4, 6, -50, -122, 0, 132, -34, -12, -136, 46, -8, 136, -200, -152, 214, 56, -32, -96, 62, -140, -207, 0, -20, -48, -82, 38, -222, 76, -70, -166, -168, -92, 0, 72, -156, -36, -44, -40, 0, 122, -272, -76, -134, 0, -62, -72, -190, 0, -146, 58, 174, -6, -28, -220, -144, 0, 559, 94, 58, 86, 22, -76, -38, -42, -40, 130, 108, -148, 108, -38, -9, 104, 0, -22, 108, 32, -254, 144, -54, -36, 14, 200, 80, -10, -110, -118, -140, 80, -10, 0, -204, 66, 318, 625, -40, -100, 4, -8, 152, 24, -172, -6, 136, -76, -166, 276, 0, -94, -158, 4, 36, 116, -60, 68, -60, -40, -174, -52, 182, -24, 62, 14, -386, 0, -137, -156, 6, -258, 52, 64, -84, 220, 535, 16, -8, 82, -138, -16, -32, -68, 0, 34, -120, 8, 212, -36, 48, 84, 60, -304, 28, 100, -276, 86, -94, -104, -112, 0, 4, 52, -84, -46, -26, -60, 22, -6, -96, -6, -44, -92, -68, -16, -254, 523, 0, -20, -200, -8, -160, -250, -24, 90, -169, 76, -366, 100, -76, -140, 56, 178, -50, 0, 8, -22, -76, 136, 37, -10, -72, 22, -258, 168, -134, 0, -120, -70, -326, 8, 0, -170, -168, 18, -94, 176, -160, 144, 633, -28, -80, -44, -178, -42, 400, -94, -488, 0, -16, -148, -62, -240, 40, 60, 42, -52, -130, -42, -272, 104, 92, 20, -24, -232, 0, -92, -37, 264, -16, 44, 54, -10, -224, -116, 146, 44, 31, -76, -64, -108, -18, 0, -62, 653, -198, -36, 360, 80, -148, -20, 180, -184, 162, 222, 46, 70, 202, 166, 0, -46, 28, 68, -174, 54, 4, 32, -220, 152, 62, -32, 144, -210, 116, 166, -308, 0, -148, -10, -26, -92, 252, -48, 208, -114, -248, -180, -266, 84, 4, -32, 425, -38, 0, 576, -40, 4, 448, -54, -82, -80, -174, 432, -70, -36, 244, -264, -238, -24, 670, 0, 92, 76, -76, -194, -428, 166, 64, 508, -92, 206, -300, -38, 168, 24, -292, -146, 0, -16, 330, -4, -344, -78, 4, -102, -258, -268, -240, 216, 258, 689, 300, 276, 78, 0, -304, -184, -54, -130, -86, 28, 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Column	Type
conductor	integer
degree	integer
multiplicity	smallint
order	integer
parity	smallint
self_twist_disc	integer
source_char_orbit	smallint
source_dim	integer
source_hecke_orbit	integer
source_is_minimal	boolean
source_label	text
source_level	integer
target_char_orbit	smallint
target_dim	integer
target_hecke_orbit	integer
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_char_orbit	smallint
weight	smallint

mf_twists_nf • Show schema

id: 1388113
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '29.2.a.a', 'target_level': 29, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 1388114
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '261.2.a.d', 'target_level': 261, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
id: 1388115
{'conductor': 68, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '464.2.a.h', 'target_level': 464, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '68.d', 'twisting_char_orbit': 4, 'weight': 2}
id: 1388116
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.a.b', 'target_level': 725, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
id: 1388117
{'conductor': 85, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '725.2.b.b', 'target_level': 725, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
id: 1388118
{'conductor': 493, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '841.2.a.d', 'target_level': 841, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '493.c', 'twisting_char_orbit': 3, 'weight': 2}
id: 1388119
{'conductor': 493, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '841.2.b.a', 'target_level': 841, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '493.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 1388120
{'conductor': 493, 'degree': 6, 'multiplicity': 6, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '841.2.d.f', 'target_level': 841, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '493.q', 'twisting_char_orbit': 17, 'weight': 2}
id: 1388121
{'conductor': 493, 'degree': 6, 'multiplicity': 6, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '841.2.d.j', 'target_level': 841, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '493.p', 'twisting_char_orbit': 16, 'weight': 2}
id: 1388122
{'conductor': 493, 'degree': 12, 'multiplicity': 12, 'order': 28, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '841.2.e.k', 'target_level': 841, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '493.y', 'twisting_char_orbit': 25, 'weight': 2}
id: 1388123
{'conductor': 119, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1421.2.a.j', 'target_level': 1421, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '119.d', 'twisting_char_orbit': 4, 'weight': 2}
id: 1388124
{'conductor': 136, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1856.2.a.r', 'target_level': 1856, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '136.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 1388125
{'conductor': 136, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1856.2.a.w', 'target_level': 1856, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '136.e', 'twisting_char_orbit': 5, 'weight': 2}
id: 1388126
{'conductor': 187, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3509.2.a.j', 'target_level': 3509, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '187.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 1388127
{'conductor': 204, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4176.2.a.bq', 'target_level': 4176, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '204.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 1388128
{'conductor': 221, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4901.2.a.g', 'target_level': 4901, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '221.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 1388129
{'conductor': 255, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '6525.2.a.o', 'target_level': 6525, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '255.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 1388130
{'conductor': 1479, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7569.2.a.c', 'target_level': 7569, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '1479.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 1388131
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '8381.2.a.e', 'source_level': 8381, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8381.2.a.e', 'target_level': 8381, 'twist_class_label': '29.2.a.a', 'twist_class_level': 29, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4738500
{'charpoly_factorization': [[[-1, 2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 2}
id: 4738501
{'charpoly_factorization': [[[-1, 2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 3}
id: 4738502
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 5}
id: 4738503
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 7}
id: 4738504
{'charpoly_factorization': [[[-1, 2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 11}
id: 4738505
{'charpoly_factorization': [[[-7, 2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 13}
id: 4738506
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 17}
id: 4738507
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 19}
id: 4738508
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 23}
id: 4738509
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 29}
id: 4738510
{'charpoly_factorization': [[[-41, 6, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 31}
id: 4738511
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 37}
id: 4738512
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 41}
id: 4738513
{'charpoly_factorization': [[[23, -10, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 43}
id: 4738514
{'charpoly_factorization': [[[-17, -2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 47}
id: 4738515
{'charpoly_factorization': [[[-71, -2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 53}
id: 4738516
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 59}
id: 4738517
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 61}
id: 4738518
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 67}
id: 4738519
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 71}
id: 4738520
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 18014398543044797, 'p': 73}
id: 4738521
{'charpoly_factorization': [[[-1, -2, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 79}
id: 4738522
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 83}
id: 4738523
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 89}
id: 4738524
{'charpoly_factorization': [[[-56, -8, 1], 1]], 'hecke_orbit_code': 18014398543044797, 'p': 97}

Column	Type
char_orbit_index	smallint
hecke_orbit	integer
label	text
level	integer
portrait	text
weight	smallint

mf_newform_portraits • Show schema

{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '8381.2.a.e', 'level': 8381, 'portrait': 'data:image/png;base64,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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema
Showing the first 100 of 258 matching records in this table.

id: 39444049
{'hecke_orbit_code': 18014398543044797, 'n': 1, 'trace_an': 2}
id: 39444050
{'hecke_orbit_code': 18014398543044797, 'n': 2, 'trace_an': -2}
id: 39444051
{'hecke_orbit_code': 18014398543044797, 'n': 3, 'trace_an': -2}
id: 39444052
{'hecke_orbit_code': 18014398543044797, 'n': 4, 'trace_an': 2}
id: 39444053
{'hecke_orbit_code': 18014398543044797, 'n': 5, 'trace_an': 2}
id: 39444054
{'hecke_orbit_code': 18014398543044797, 'n': 6, 'trace_an': 6}
id: 39444055
{'hecke_orbit_code': 18014398543044797, 'n': 7, 'trace_an': 0}
id: 39444056
{'hecke_orbit_code': 18014398543044797, 'n': 8, 'trace_an': -6}
id: 39444057
{'hecke_orbit_code': 18014398543044797, 'n': 9, 'trace_an': 0}
id: 39444058
{'hecke_orbit_code': 18014398543044797, 'n': 10, 'trace_an': -2}
id: 39444059
{'hecke_orbit_code': 18014398543044797, 'n': 11, 'trace_an': -2}
id: 39444060
{'hecke_orbit_code': 18014398543044797, 'n': 12, 'trace_an': -10}
id: 39444061
{'hecke_orbit_code': 18014398543044797, 'n': 13, 'trace_an': -2}
id: 39444062
{'hecke_orbit_code': 18014398543044797, 'n': 14, 'trace_an': -8}
id: 39444063
{'hecke_orbit_code': 18014398543044797, 'n': 15, 'trace_an': -2}
id: 39444064
{'hecke_orbit_code': 18014398543044797, 'n': 16, 'trace_an': 6}
id: 39444065
{'hecke_orbit_code': 18014398543044797, 'n': 17, 'trace_an': 0}
id: 39444066
{'hecke_orbit_code': 18014398543044797, 'n': 18, 'trace_an': -8}
id: 39444067
{'hecke_orbit_code': 18014398543044797, 'n': 19, 'trace_an': 12}
id: 39444068
{'hecke_orbit_code': 18014398543044797, 'n': 20, 'trace_an': 2}
id: 39444069
{'hecke_orbit_code': 18014398543044797, 'n': 21, 'trace_an': -8}
id: 39444070
{'hecke_orbit_code': 18014398543044797, 'n': 22, 'trace_an': -2}
id: 39444071
{'hecke_orbit_code': 18014398543044797, 'n': 23, 'trace_an': 4}
id: 39444072
{'hecke_orbit_code': 18014398543044797, 'n': 24, 'trace_an': 10}
id: 39444073
{'hecke_orbit_code': 18014398543044797, 'n': 25, 'trace_an': -8}
id: 39444074
{'hecke_orbit_code': 18014398543044797, 'n': 26, 'trace_an': 10}
id: 39444075
{'hecke_orbit_code': 18014398543044797, 'n': 27, 'trace_an': -2}
id: 39444076
{'hecke_orbit_code': 18014398543044797, 'n': 28, 'trace_an': 16}
id: 39444077
{'hecke_orbit_code': 18014398543044797, 'n': 29, 'trace_an': -2}
id: 39444078
{'hecke_orbit_code': 18014398543044797, 'n': 30, 'trace_an': 6}
id: 39444079
{'hecke_orbit_code': 18014398543044797, 'n': 31, 'trace_an': -6}
id: 39444080
{'hecke_orbit_code': 18014398543044797, 'n': 32, 'trace_an': 6}
id: 39444081
{'hecke_orbit_code': 18014398543044797, 'n': 33, 'trace_an': -2}
id: 39444082
{'hecke_orbit_code': 18014398543044797, 'n': 34, 'trace_an': 0}
id: 39444083
{'hecke_orbit_code': 18014398543044797, 'n': 35, 'trace_an': 0}
id: 39444084
{'hecke_orbit_code': 18014398543044797, 'n': 36, 'trace_an': 16}
id: 39444085
{'hecke_orbit_code': 18014398543044797, 'n': 37, 'trace_an': 8}
id: 39444086
{'hecke_orbit_code': 18014398543044797, 'n': 38, 'trace_an': -12}
id: 39444087
{'hecke_orbit_code': 18014398543044797, 'n': 39, 'trace_an': 10}
id: 39444088
{'hecke_orbit_code': 18014398543044797, 'n': 40, 'trace_an': -6}
id: 39444089
{'hecke_orbit_code': 18014398543044797, 'n': 41, 'trace_an': -8}
id: 39444090
{'hecke_orbit_code': 18014398543044797, 'n': 42, 'trace_an': 16}
id: 39444091
{'hecke_orbit_code': 18014398543044797, 'n': 43, 'trace_an': 10}
id: 39444092
{'hecke_orbit_code': 18014398543044797, 'n': 44, 'trace_an': 6}
id: 39444093
{'hecke_orbit_code': 18014398543044797, 'n': 45, 'trace_an': 0}
id: 39444094
{'hecke_orbit_code': 18014398543044797, 'n': 46, 'trace_an': 12}
id: 39444095
{'hecke_orbit_code': 18014398543044797, 'n': 47, 'trace_an': 2}
id: 39444096
{'hecke_orbit_code': 18014398543044797, 'n': 48, 'trace_an': -6}
id: 39444097
{'hecke_orbit_code': 18014398543044797, 'n': 49, 'trace_an': 2}
id: 39444098
{'hecke_orbit_code': 18014398543044797, 'n': 50, 'trace_an': 8}
id: 39444099
{'hecke_orbit_code': 18014398543044797, 'n': 51, 'trace_an': 0}
id: 39444100
{'hecke_orbit_code': 18014398543044797, 'n': 52, 'trace_an': -18}
id: 39444101
{'hecke_orbit_code': 18014398543044797, 'n': 53, 'trace_an': 2}
id: 39444102
{'hecke_orbit_code': 18014398543044797, 'n': 54, 'trace_an': -2}
id: 39444103
{'hecke_orbit_code': 18014398543044797, 'n': 55, 'trace_an': -2}
id: 39444104
{'hecke_orbit_code': 18014398543044797, 'n': 56, 'trace_an': -8}
id: 39444105
{'hecke_orbit_code': 18014398543044797, 'n': 57, 'trace_an': -12}
id: 39444106
{'hecke_orbit_code': 18014398543044797, 'n': 58, 'trace_an': 2}
id: 39444107
{'hecke_orbit_code': 18014398543044797, 'n': 59, 'trace_an': 4}
id: 39444108
{'hecke_orbit_code': 18014398543044797, 'n': 60, 'trace_an': -10}
id: 39444109
{'hecke_orbit_code': 18014398543044797, 'n': 61, 'trace_an': 4}
id: 39444110
{'hecke_orbit_code': 18014398543044797, 'n': 62, 'trace_an': 26}
id: 39444111
{'hecke_orbit_code': 18014398543044797, 'n': 63, 'trace_an': 16}
id: 39444112
{'hecke_orbit_code': 18014398543044797, 'n': 64, 'trace_an': -14}
id: 39444113
{'hecke_orbit_code': 18014398543044797, 'n': 65, 'trace_an': -2}
id: 39444114
{'hecke_orbit_code': 18014398543044797, 'n': 66, 'trace_an': 2}
id: 39444115
{'hecke_orbit_code': 18014398543044797, 'n': 67, 'trace_an': 0}
id: 39444116
{'hecke_orbit_code': 18014398543044797, 'n': 68, 'trace_an': 0}
id: 39444117
{'hecke_orbit_code': 18014398543044797, 'n': 69, 'trace_an': 12}
id: 39444118
{'hecke_orbit_code': 18014398543044797, 'n': 70, 'trace_an': -8}
id: 39444119
{'hecke_orbit_code': 18014398543044797, 'n': 71, 'trace_an': 12}
id: 39444120
{'hecke_orbit_code': 18014398543044797, 'n': 72, 'trace_an': -8}
id: 39444121
{'hecke_orbit_code': 18014398543044797, 'n': 73, 'trace_an': -8}
id: 39444122
{'hecke_orbit_code': 18014398543044797, 'n': 74, 'trace_an': -8}
id: 39444123
{'hecke_orbit_code': 18014398543044797, 'n': 75, 'trace_an': 8}
id: 39444124
{'hecke_orbit_code': 18014398543044797, 'n': 76, 'trace_an': 12}
id: 39444125
{'hecke_orbit_code': 18014398543044797, 'n': 77, 'trace_an': 8}
id: 39444126
{'hecke_orbit_code': 18014398543044797, 'n': 78, 'trace_an': -22}
id: 39444127
{'hecke_orbit_code': 18014398543044797, 'n': 79, 'trace_an': 2}
id: 39444128
{'hecke_orbit_code': 18014398543044797, 'n': 80, 'trace_an': 6}
id: 39444129
{'hecke_orbit_code': 18014398543044797, 'n': 81, 'trace_an': -2}
id: 39444130
{'hecke_orbit_code': 18014398543044797, 'n': 82, 'trace_an': -16}
id: 39444131
{'hecke_orbit_code': 18014398543044797, 'n': 83, 'trace_an': 4}
id: 39444132
{'hecke_orbit_code': 18014398543044797, 'n': 84, 'trace_an': -24}
id: 39444133
{'hecke_orbit_code': 18014398543044797, 'n': 85, 'trace_an': 0}
id: 39444134
{'hecke_orbit_code': 18014398543044797, 'n': 86, 'trace_an': -6}
id: 39444135
{'hecke_orbit_code': 18014398543044797, 'n': 87, 'trace_an': 2}
id: 39444136
{'hecke_orbit_code': 18014398543044797, 'n': 88, 'trace_an': 2}
id: 39444137
{'hecke_orbit_code': 18014398543044797, 'n': 89, 'trace_an': -8}
id: 39444138
{'hecke_orbit_code': 18014398543044797, 'n': 90, 'trace_an': -8}
id: 39444139
{'hecke_orbit_code': 18014398543044797, 'n': 91, 'trace_an': -16}
id: 39444140
{'hecke_orbit_code': 18014398543044797, 'n': 92, 'trace_an': -28}
id: 39444141
{'hecke_orbit_code': 18014398543044797, 'n': 93, 'trace_an': 26}
id: 39444142
{'hecke_orbit_code': 18014398543044797, 'n': 94, 'trace_an': 10}
id: 39444143
{'hecke_orbit_code': 18014398543044797, 'n': 95, 'trace_an': 12}
id: 39444144
{'hecke_orbit_code': 18014398543044797, 'n': 96, 'trace_an': -2}
id: 39444145
{'hecke_orbit_code': 18014398543044797, 'n': 97, 'trace_an': 8}
id: 39444146
{'hecke_orbit_code': 18014398543044797, 'n': 98, 'trace_an': -2}
id: 39444147
{'hecke_orbit_code': 18014398543044797, 'n': 99, 'trace_an': 8}
id: 39444148
{'hecke_orbit_code': 18014398543044797, 'n': 100, 'trace_an': -8}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.