LMFDB - Newform data

Formats: - HTML - YAML - JSON - 2026-10-04T22:59:41.599592

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': 4800, 'analytic_conductor': 9.582048242553647, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, 1]], [11, [2, 1]], [13, [-2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149104, 'hecke_ring_generator_nbound': 1, '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': '1200.2.a.h', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.f.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{7}+q^{9}-2q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1200/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.2.a', 'trace_display': [0, -1, 0, 2], 'trace_hash': 1706735234487545393, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.015', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.029', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 7}, {'__RealLiteral__': 0, 'data': '5.075', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 7}, 'traces': [1, 0, -1, 0, 0, 0, 2, 0, 1, 0, -2, 0, 2, 0, 0, 0, 6, 0, -8, 0, -2, 0, 4, 0, 0, 0, -1, 0, 8, 0, 0, 0, 2, 0, 0, 0, -10, 0, -2, 0, 2, 0, 12, 0, 0, 0, 0, 0, -3, 0, -6, 0, 10, 0, 0, 0, 8, 0, 6, 0, 2, 0, 2, 0, 0, 0, 8, 0, -4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 8, 0, 1, 0, -4, 0, 0, 0, -8, 0, 6, 0, 4, 0, 0, 0, 0, 0, 8, 0, -2, 0, 0, 0, 2, 0, 0, 0, -4, 0, -6, 0, 10, 0, 2, 0, 0, 0, 2, 0, 12, 0, -7, 0, -2, 0, 0, 0, 18, 0, -12, 0, 18, 0, -16, 0, 0, 0, 10, 0, -4, 0, 0, 0, -4, 0, 0, 0, 3, 0, -12, 0, -16, 0, 6, 0, 0, 0, -14, 0, -10, 0, 8, 0, -16, 0, 0, 0, -12, 0, -9, 0, -8, 0, -18, 0, 0, 0, -6, 0, 22, 0, -14, 0, -2, 0, 0, 0, -12, 0, -2, 0, -12, 0, 4, 0, 0, 0, -6, 0, 8, 0, -8, 0, 16, 0, 0, 0, 4, 0, 16, 0, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 12, 0, -6, 0, 0, 0, 4, 0, 6, 0, 4, 0, 6, 0, 0, 0, -8, 0, -20, 0, -10, 0, -1, 0, 0, 0, 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36, 0, 84, 0, 0, 0, -8, 0, 40, 0, 16, 0, -18, 0, 0, 0, 4, 0, -42, 0, -104, 0, -20, 0, 0, 0, 0, 0, 128, 0, -16, 0, -54, 0, 0, 0, -20, 0, -24, 0, 96, 0, 31, 0, 0, 0, 50, 0, 4, 0, -18, 0, 24, 0, 0, 0, -14, 0, -12, 0, -26, 0, -52, 0, 0, 0, -48, 0, 68, 0, 8, 0, 30, 0, 0, 0, 2, 0, 8, 0, 72, 0, -80, 0, 0, 0, -96, 0, 0, 0, 2, 0, -12, 0, 0, 0, 12, 0, -30, 0, -108, 0, 6, 0, 0, 0, -52, 0, 56, 0, 8, 0, -84, 0, 0, 0, 66, 0, -48, 0, 0, 0, -20, 0, 0, 0, -48, 0, -22, 0, -56, 0, -32, 0, 0, 0, 12, 0, -16, 0, -32, 0, 112, 0, 0, 0, 16, 0, -6, 0, -42, 0, 8, 0, 0, 0, -10, 0, -104, 0], '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], [0], [0], [0], [2], [0], [1], [0], [-2], [0], [2], [0], [0], [0], [6], [0], [-8], [0], [-2], [0], [4], [0], [0], [0], [-1], [0], [8], [0], [0], [0], [2], [0], [0], [0], [-10], [0], [-2], [0], [2], [0], [12], [0], [0], [0], [0], [0], [-3], [0], [-6], [0], [10], [0], [0], [0], [8], [0], [6], [0], [2], [0], [2], [0], [0], [0], [8], [0], [-4], [0], [4], [0], [4], [0], [0], [0], [-4], [0], [8], [0], [1], [0], [-4], [0], [0], [0], [-8], [0], [6], [0], [4], [0], [0], [0], [0], [0], [8], [0], [-2], [0]], 'ap': [[0], [-1], [0], [2], [-2], [2], [6], [-8], [4], [8], [0], [-10], [2], [12], [0], [10], [6], [2], [8], [4], [4], [8], [-4], [6], [8], [0], [2], [-4], [-6], [2], [18], [18], [10], [-4], [-12], [-16], [-14], [-16], [-12], [-18], [22], [-14], [-12], [4], [-6], [8], [-4], [-6], [4], [6], [6], [-20], [-10], [2], [-6], [-12], [24], [16], [6], [-18], [0], [-22], [-20], [-12], [4], [-18], [-16], [28], [28], [-22], [6], [-16], [-14], [2], [4], [24], [12], [6], [22], [-10], [-6], [-26], [-16], [-12], [-24], [36], [-18], [0], [-12], [22], [-36], [28], [-34], [34], [40], [-16], [-8], [-26], [16], [10], [20], [18], [36], [-42], [-16], [16], [-4], [34], [-16], [-30], [22], [14], [-10], [20], [40], [18], [-24], [8], [6], [-30], [2], [-20], [30], [-20], [-48], [-8], [46], [-40], [30], [-42], [0], [0], [-8], [38], [-2], [34], [38], [-32], [30], [18], [-12], [0], [-26], [36], [-14], [-24], [-10], [-34], [-28], [12], [-14], [-2], [8], [-12], [28], [-48], [24], [14], [-56], [-4], [-36], [42], [26], [-30], [-2], [-56], [32], [42], [-10], [-42], [-50], [-18], [0], [-4], [-32], [-50], [-12], [20], [-34], [-42], [-2], [42], [6], [-6], [24], [-20], [-14], [-32], [-14], [12], [-20], [12], [20], [36], [12], [-62], [46], [2], [-38], [-56], [36], [-40], [-38], [-50], [62], [34], [56], [-52], [-34], [32], [44], [-60], [34], [-20], [4], [22], [-22], [-10], [-32], [34], [-34], [32], [66], [-66], [28], [-34], [42], [-56], [-58], [30], [26], [-36], [-24], [14], [56], [12], [-34], [18], [46], [36], [20], [40], [-34], [74], [30], [20], [58], [6], [0], [4], [78], [66], [-12], [-26], [2], [18], [74], [8], [-70], [-12], [10], [20], [22], [70], [42], [-48], [44], [50], [0], [-66], [-2], [-4], [-28], [-64], [12], [34], [-28], [-6], [6], [-14], [-4], [-40], [16], [22], [4], [60], [40], [78], [-64], [34], [-20], [76], [46], [-42], [-66], [36], [-8], [6], [-2], [-68], [52], [-74], [16], [-12], [-8], [-48], [-36], [-26], [36], [2], [-84], [-24], [46], [20], [-56], [-42], [-42], [-44], [36], [50], [-16], [68], [32], [6], [62], [38], [-52], [84], [88], [-26], [-26], [-94], [32], [4], [12], [-20], [-50], [22], [-6], [-78], [34], [46], [64], [56], [-78], [30], [-2], [-12], [84], [38], [20], [16], [72], [-54], [-46], [-82], [-64], [22], [82], [20], [-70], [-30], [8], [30], [56], [-16], [-30], [-46], [-22], [-66], [-28], [-24], [-40], [32], [-58], [-50], [-24], [-40], [46], [-40], [84], [34], [26], [70], [100], [60], [-48], [-50], [-52], [-60], [18], [-6], [-82], [56], [-56], [64], [32], [-6], [-48], [-44], [78], [-38], [-54], [-22], [-72], [-56], [-82], [-58], [16], [-22], [-8], [-78], [84], [16], [4], [-104], [-24], [50], [-14], [-52], [68], [2], [-96], [-30], [-84], [66], [-20], [-22], [-56], [-104]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425149104, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1200.2.a.h', 'level': 1200, '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': [1, 3, 4, 1, 2, 3, 2, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [24, 24, 23, 23, 25, 21, 22, 24], 'Nk2': 4800, 'analytic_conductor': 9.582048242553647, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 205, 'dim': 19, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33555632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '1200.2.a', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'mf_dim': 276, 'mf_new_dim': 19, 'num_forms': 19, 'plus_dim': 7, 'prim_orbit_index': 1, 'relative_dim': 19, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 1, 0, 0], 'traces': [19, 0, 1, 0, 0, 0, 0, 0, 19, 0, -4, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -16, 0, 0, 0, 1, 0, 10, 0, 12, 0, 4, 0, 0, 0, 10, 0, 6, 0, 6, 0, 12, 0, 0, 0, 24, 0, 35, 0, -2, 0, 2, 0, 0, 0, 4, 0, 28, 0, -14, 0, 0, 0, 0, 0, 4, 0, -8, 0, 24, 0, -2, 0, 0, 0, 0, 0, 48, 0, 19, 0, 20, 0, 0, 0, -18, 0, -10, 0, 20, 0, 8, 0, 0, 0, -10, 0, -4, 0, -38, 0, 0, 0, 0, 0, -36, 0, -22, 0, 34, 0, -2, 0, 0, 0, 2, 0, -40, 0, 47, 0, -6, 0, 0, 0, -8, 0, 12, 0, -20, 0, -32, 0, 0, 0, 22, 0, 12, 0, -16, 0, -24, 0, 0, 0, 25, 0, -54, 0, -20, 0, -2, 0, 0, 0, -30, 0, 26, 0, 32, 0, 4, 0, 0, 0, 32, 0, 5, 0, 0, 0, -38, 0, 0, 0, -12, 0, -44, 0, -62, 0, 14, 0, 0, 0, 24, 0, 0, 0, -72, 0, 38, 0, 0, 0, 18, 0, 12, 0, 20, 0, 0, 0, 0, 0, -16, 0, 16, 0, -48, 0, -8, 0, 0, 0, 32, 0, -2, 0, -52, 0, 40, 0, 0, 0, -60, 0, -54, 0, -24, 0, 22, 0, 0, 0, -24, 0, -128, 0, -10, 0, 1, 0, 0, 0, -56, 0, -20, 0, 20, 0, 32, 0, 0, 0, -18, 0, -56, 0, 10, 0, -16, 0, 0, 0, 42, 0, -46, 0, 32, 0, 32, 0, 0, 0, 10, 0, 12, 0, -10, 0, -68, 0, 0, 0, 64, 0, 33, 0, 26, 0, -14, 0, 0, 0, 4, 0, 72, 0, -32, 0, 22, 0, 0, 0, 36, 0, 0, 0, 0, 0, -18, 0, 0, 0, -38, 0, -8, 0, -28, 0, -8, 0, 0, 0, -50, 0, -16, 0, 76, 0, 10, 0, 0, 0, -42, 0, -58, 0, -80, 0, 0, 0, 0, 0, -52, 0, 2, 0, 6, 0, -34, 0, 0, 0, 32, 0, -104, 0, 47, 0, -27, 0, 0, 0, -40, 0, 6, 0, -80, 0, 10, 0, 0, 0, -4, 0, -80, 0, -24, 0, 8, 0, 0, 0, 12, 0, -54, 0, -144, 0, -36, 0, 0, 0, -30, 0, 92, 0, 102, 0, -48, 0, 0, 0, 72, 0, 6, 0, -74, 0, 0, 0, 0, 0, -4, 0, 28, 0, 74, 0, 24, 0, 0, 0, 64, 0, 40, 0, -72, 0, 22, 0, 0, 0, 0, 0, -60, 0, 35, 0, 28, 0, 0, 0, -58, 0, 70, 0, -24, 0, -48, 0, 0, 0, 46, 0, -2, 0, 34, 0, 40, 0, 0, 0, -92, 0, 16, 0, -18, 0, 48, 0, 0, 0, 2, 0, 184, 0, 20, 0, -32, 0, 0, 0, -48, 0, 4, 0, 212, 0, 4, 0, 0, 0, 0, 0, -112, 0, 24, 0, 0, 0, 0, 0, 55, 0, 26, 0, 216, 0, 4, 0, 0, 0, 64, 0, -38, 0, -34, 0, 60, 0, 0, 0, 112, 0, 11, 0, 28, 0, 116, 0, 0, 0, 12, 0, 340, 0, -54, 0, 22, 0, 0, 0, 36, 0, -14, 0, 16, 0, -32, 0, 0, 0, 58, 0, 116, 0, -24, 0, 68, 0, 0, 0, 0, 0, 78, 0, -24, 0, 32, 0, 0, 0, -42, 0, -46, 0, 0, 0, 8, 0, 0, 0, -36, 0, 64, 0, -14, 0, -66, 0, 0, 0, 0, 0, -56, 0, -66, 0, 4, 0, 0, 0, -24, 0, -80, 0, -72, 0, -86, 0, 0, 0, -42, 0, 232, 0, -8, 0, -64, 0, 0, 0, 48, 0, -20, 0, 20, 0, -44, 0, 0, 0, 50, 0, 24, 0, 30, 0, -60, 0, 0, 0, 64, 0, -96, 0, 44, 0, -102, 0, 0, 0, -2, 0, -4, 0, -22, 0, -4, 0, 0, 0, 0, 0, -24, 0, 272, 0, 6, 0, 0, 0, -30, 0, 60, 0, -52, 0, 92, 0, 0, 0, -42, 0, 20, 0, 36, 0, 0, 0, 0, 0, 12, 0, -130, 0, 202, 0, -88, 0, 0, 0, -128, 0, 154, 0, 48, 0, 64, 0, 0, 0, -32, 0, -56, 0, -128, 0, -14, 0, 0, 0, -32, 0, 19, 0, 192, 0, 66, 0, 0, 0, 80, 0, -12, 0, 72, 0, -64, 0, 0, 0, 20, 0, 80, 0, -96, 0, 36, 0, 0, 0, -54, 0, 48, 0, -50, 0, 0, 0, 0, 0, 72, 0, -26, 0, -10, 0, 50, 0, 0, 0, 32, 0, -104, 0, 160, 0, -18, 0, 0, 0, 68, 0, 24, 0, -160, 0, -36, 0, 0, 0, -22, 0, 256, 0, -10, 0, 24, 0, 0, 0, -34, 0, 38, 0, -296, 0, 56, 0, 0, 0, 48, 0, 20, 0, 34, 0, 80, 0, 0, 0, -100, 0, -54, 0, 30, 0, -50, 0, 0, 0, 8, 0, -304, 0, 117, 0, -22, 0, 0, 0, 0, 0, 12, 0, -144, 0, 26, 0, 0, 0, -42, 0, -52, 0, -48, 0, -40, 0, 0, 0, 51, 0, 224, 0, 36, 0, -10, 0, 0, 0, -46, 0, 50, 0, -2, 0, 116, 0, 0, 0, 80, 0, -32, 0, -4, 0, -32, 0, 0, 0, -32, 0, 24, 0, 92, 0, 0, 0, 0, 0, 92, 0, -38, 0, 8, 0, 16, 0, 0, 0, -64, 0, -292, 0, 52, 0, 48, 0, 0, 0, 0, 0, -90, 0, 92, 0, -72, 0, 0, 0, -82, 0, -6, 0, 114, 0, -32, 0, 0, 0, -92, 0, -52, 0, -94, 0, 102, 0, 0, 0, 24, 0, 88, 0, -149, 0, -36, 0, 0, 0, -16, 0, -40, 0, -228, 0, 32, 0, 0, 0, 62, 0, -280, 0, -22, 0, -16, 0, 0, 0, 32, 0, 176, 0, -4, 0, 60, 0, 0, 0, -6, 0, 34, 0], 'weight': 2, 'weight_parity': 1}

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: 670773
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.f.a', 'target_level': 120, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
id: 670774
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '240.2.f.c', 'target_level': 240, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
id: 670775
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '360.2.f.a', 'target_level': 360, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
id: 670776
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '600.2.a.d', 'target_level': 600, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
id: 670777
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '600.2.a.g', 'target_level': 600, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 670778
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.2.f.b', 'target_level': 720, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
id: 670779
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '960.2.f.a', 'target_level': 960, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
id: 670780
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '960.2.f.b', 'target_level': 960, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
id: 670781
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.2.a.h', 'target_level': 1200, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
id: 670782
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1200.2.a.l', 'target_level': 1200, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 670783
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1800.2.a.g', 'target_level': 1800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 670784
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1800.2.a.q', 'target_level': 1800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
id: 670785
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2880.2.f.r', 'target_level': 2880, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
id: 670786
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2880.2.f.t', 'target_level': 2880, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
id: 670787
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3600.2.a.n', 'target_level': 3600, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
id: 670788
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '3600.2.a.bi', 'target_level': 3600, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 670789
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3840.2.d.d', 'target_level': 3840, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
id: 670790
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.d.m', 'target_level': 3840, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
id: 670791
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3840.2.d.v', 'target_level': 3840, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
id: 670792
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3840.2.d.ba', 'target_level': 3840, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
id: 670793
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4800.2.a.k', 'target_level': 4800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
id: 670794
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4800.2.a.n', 'target_level': 4800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
id: 670795
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '4800.2.a.ch', 'target_level': 4800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
id: 670796
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '1200.2.a.h', 'source_level': 1200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 61, 'target_is_minimal': False, 'target_label': '4800.2.a.ci', 'target_level': 4800, 'twist_class_label': '120.2.f.a', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1760775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 2}
id: 1760776
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 3}
id: 1760777
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 5}
id: 1760778
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 7}
id: 1760779
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 11}
id: 1760780
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 13}
id: 1760781
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 17}
id: 1760782
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 19}
id: 1760783
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 23}
id: 1760784
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 29}
id: 1760785
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 31}
id: 1760786
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 37}
id: 1760787
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 41}
id: 1760788
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 43}
id: 1760789
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 47}
id: 1760790
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 53}
id: 1760791
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 59}
id: 1760792
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 61}
id: 1760793
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 67}
id: 1760794
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 71}
id: 1760795
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 73}
id: 1760796
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 79}
id: 1760797
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 83}
id: 1760798
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425149104, 'p': 89}
id: 1760799
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149104, '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': 8, 'label': '1200.2.a.h', 'level': 1200, '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: 47883487
{'hecke_orbit_code': 31525197425149104, 'n': 1, 'trace_an': 1}
id: 47883488
{'hecke_orbit_code': 31525197425149104, 'n': 2, 'trace_an': 0}
id: 47883489
{'hecke_orbit_code': 31525197425149104, 'n': 3, 'trace_an': -1}
id: 47883490
{'hecke_orbit_code': 31525197425149104, 'n': 4, 'trace_an': 0}
id: 47883491
{'hecke_orbit_code': 31525197425149104, 'n': 5, 'trace_an': 0}
id: 47883492
{'hecke_orbit_code': 31525197425149104, 'n': 6, 'trace_an': 0}
id: 47883493
{'hecke_orbit_code': 31525197425149104, 'n': 7, 'trace_an': 2}
id: 47883494
{'hecke_orbit_code': 31525197425149104, 'n': 8, 'trace_an': 0}
id: 47883495
{'hecke_orbit_code': 31525197425149104, 'n': 9, 'trace_an': 1}
id: 47883496
{'hecke_orbit_code': 31525197425149104, 'n': 10, 'trace_an': 0}
id: 47883497
{'hecke_orbit_code': 31525197425149104, 'n': 11, 'trace_an': -2}
id: 47883498
{'hecke_orbit_code': 31525197425149104, 'n': 12, 'trace_an': 0}
id: 47883499
{'hecke_orbit_code': 31525197425149104, 'n': 13, 'trace_an': 2}
id: 47883500
{'hecke_orbit_code': 31525197425149104, 'n': 14, 'trace_an': 0}
id: 47883501
{'hecke_orbit_code': 31525197425149104, 'n': 15, 'trace_an': 0}
id: 47883502
{'hecke_orbit_code': 31525197425149104, 'n': 16, 'trace_an': 0}
id: 47883503
{'hecke_orbit_code': 31525197425149104, 'n': 17, 'trace_an': 6}
id: 47883504
{'hecke_orbit_code': 31525197425149104, 'n': 18, 'trace_an': 0}
id: 47883505
{'hecke_orbit_code': 31525197425149104, 'n': 19, 'trace_an': -8}
id: 47883506
{'hecke_orbit_code': 31525197425149104, 'n': 20, 'trace_an': 0}
id: 47883507
{'hecke_orbit_code': 31525197425149104, 'n': 21, 'trace_an': -2}
id: 47883508
{'hecke_orbit_code': 31525197425149104, 'n': 22, 'trace_an': 0}
id: 47883509
{'hecke_orbit_code': 31525197425149104, 'n': 23, 'trace_an': 4}
id: 47883510
{'hecke_orbit_code': 31525197425149104, 'n': 24, 'trace_an': 0}
id: 47883511
{'hecke_orbit_code': 31525197425149104, 'n': 25, 'trace_an': 0}
id: 47883512
{'hecke_orbit_code': 31525197425149104, 'n': 26, 'trace_an': 0}
id: 47883513
{'hecke_orbit_code': 31525197425149104, 'n': 27, 'trace_an': -1}
id: 47883514
{'hecke_orbit_code': 31525197425149104, 'n': 28, 'trace_an': 0}
id: 47883515
{'hecke_orbit_code': 31525197425149104, 'n': 29, 'trace_an': 8}
id: 47883516
{'hecke_orbit_code': 31525197425149104, 'n': 30, 'trace_an': 0}
id: 47883517
{'hecke_orbit_code': 31525197425149104, 'n': 31, 'trace_an': 0}
id: 47883518
{'hecke_orbit_code': 31525197425149104, 'n': 32, 'trace_an': 0}
id: 47883519
{'hecke_orbit_code': 31525197425149104, 'n': 33, 'trace_an': 2}
id: 47883520
{'hecke_orbit_code': 31525197425149104, 'n': 34, 'trace_an': 0}
id: 47883521
{'hecke_orbit_code': 31525197425149104, 'n': 35, 'trace_an': 0}
id: 47883522
{'hecke_orbit_code': 31525197425149104, 'n': 36, 'trace_an': 0}
id: 47883523
{'hecke_orbit_code': 31525197425149104, 'n': 37, 'trace_an': -10}
id: 47883524
{'hecke_orbit_code': 31525197425149104, 'n': 38, 'trace_an': 0}
id: 47883525
{'hecke_orbit_code': 31525197425149104, 'n': 39, 'trace_an': -2}
id: 47883526
{'hecke_orbit_code': 31525197425149104, 'n': 40, 'trace_an': 0}
id: 47883527
{'hecke_orbit_code': 31525197425149104, 'n': 41, 'trace_an': 2}
id: 47883528
{'hecke_orbit_code': 31525197425149104, 'n': 42, 'trace_an': 0}
id: 47883529
{'hecke_orbit_code': 31525197425149104, 'n': 43, 'trace_an': 12}
id: 47883530
{'hecke_orbit_code': 31525197425149104, 'n': 44, 'trace_an': 0}
id: 47883531
{'hecke_orbit_code': 31525197425149104, 'n': 45, 'trace_an': 0}
id: 47883532
{'hecke_orbit_code': 31525197425149104, 'n': 46, 'trace_an': 0}
id: 47883533
{'hecke_orbit_code': 31525197425149104, 'n': 47, 'trace_an': 0}
id: 47883534
{'hecke_orbit_code': 31525197425149104, 'n': 48, 'trace_an': 0}
id: 47883535
{'hecke_orbit_code': 31525197425149104, 'n': 49, 'trace_an': -3}
id: 47883536
{'hecke_orbit_code': 31525197425149104, 'n': 50, 'trace_an': 0}
id: 47883537
{'hecke_orbit_code': 31525197425149104, 'n': 51, 'trace_an': -6}
id: 47883538
{'hecke_orbit_code': 31525197425149104, 'n': 52, 'trace_an': 0}
id: 47883539
{'hecke_orbit_code': 31525197425149104, 'n': 53, 'trace_an': 10}
id: 47883540
{'hecke_orbit_code': 31525197425149104, 'n': 54, 'trace_an': 0}
id: 47883541
{'hecke_orbit_code': 31525197425149104, 'n': 55, 'trace_an': 0}
id: 47883542
{'hecke_orbit_code': 31525197425149104, 'n': 56, 'trace_an': 0}
id: 47883543
{'hecke_orbit_code': 31525197425149104, 'n': 57, 'trace_an': 8}
id: 47883544
{'hecke_orbit_code': 31525197425149104, 'n': 58, 'trace_an': 0}
id: 47883545
{'hecke_orbit_code': 31525197425149104, 'n': 59, 'trace_an': 6}
id: 47883546
{'hecke_orbit_code': 31525197425149104, 'n': 60, 'trace_an': 0}
id: 47883547
{'hecke_orbit_code': 31525197425149104, 'n': 61, 'trace_an': 2}
id: 47883548
{'hecke_orbit_code': 31525197425149104, 'n': 62, 'trace_an': 0}
id: 47883549
{'hecke_orbit_code': 31525197425149104, 'n': 63, 'trace_an': 2}
id: 47883550
{'hecke_orbit_code': 31525197425149104, 'n': 64, 'trace_an': 0}
id: 47883551
{'hecke_orbit_code': 31525197425149104, 'n': 65, 'trace_an': 0}
id: 47883552
{'hecke_orbit_code': 31525197425149104, 'n': 66, 'trace_an': 0}
id: 47883553
{'hecke_orbit_code': 31525197425149104, 'n': 67, 'trace_an': 8}
id: 47883554
{'hecke_orbit_code': 31525197425149104, 'n': 68, 'trace_an': 0}
id: 47883555
{'hecke_orbit_code': 31525197425149104, 'n': 69, 'trace_an': -4}
id: 47883556
{'hecke_orbit_code': 31525197425149104, 'n': 70, 'trace_an': 0}
id: 47883557
{'hecke_orbit_code': 31525197425149104, 'n': 71, 'trace_an': 4}
id: 47883558
{'hecke_orbit_code': 31525197425149104, 'n': 72, 'trace_an': 0}
id: 47883559
{'hecke_orbit_code': 31525197425149104, 'n': 73, 'trace_an': 4}
id: 47883560
{'hecke_orbit_code': 31525197425149104, 'n': 74, 'trace_an': 0}
id: 47883561
{'hecke_orbit_code': 31525197425149104, 'n': 75, 'trace_an': 0}
id: 47883562
{'hecke_orbit_code': 31525197425149104, 'n': 76, 'trace_an': 0}
id: 47883563
{'hecke_orbit_code': 31525197425149104, 'n': 77, 'trace_an': -4}
id: 47883564
{'hecke_orbit_code': 31525197425149104, 'n': 78, 'trace_an': 0}
id: 47883565
{'hecke_orbit_code': 31525197425149104, 'n': 79, 'trace_an': 8}
id: 47883566
{'hecke_orbit_code': 31525197425149104, 'n': 80, 'trace_an': 0}
id: 47883567
{'hecke_orbit_code': 31525197425149104, 'n': 81, 'trace_an': 1}
id: 47883568
{'hecke_orbit_code': 31525197425149104, 'n': 82, 'trace_an': 0}
id: 47883569
{'hecke_orbit_code': 31525197425149104, 'n': 83, 'trace_an': -4}
id: 47883570
{'hecke_orbit_code': 31525197425149104, 'n': 84, 'trace_an': 0}
id: 47883571
{'hecke_orbit_code': 31525197425149104, 'n': 85, 'trace_an': 0}
id: 47883572
{'hecke_orbit_code': 31525197425149104, 'n': 86, 'trace_an': 0}
id: 47883573
{'hecke_orbit_code': 31525197425149104, 'n': 87, 'trace_an': -8}
id: 47883574
{'hecke_orbit_code': 31525197425149104, 'n': 88, 'trace_an': 0}
id: 47883575
{'hecke_orbit_code': 31525197425149104, 'n': 89, 'trace_an': 6}
id: 47883576
{'hecke_orbit_code': 31525197425149104, 'n': 90, 'trace_an': 0}
id: 47883577
{'hecke_orbit_code': 31525197425149104, 'n': 91, 'trace_an': 4}
id: 47883578
{'hecke_orbit_code': 31525197425149104, 'n': 92, 'trace_an': 0}
id: 47883579
{'hecke_orbit_code': 31525197425149104, 'n': 93, 'trace_an': 0}
id: 47883580
{'hecke_orbit_code': 31525197425149104, 'n': 94, 'trace_an': 0}
id: 47883581
{'hecke_orbit_code': 31525197425149104, 'n': 95, 'trace_an': 0}
id: 47883582
{'hecke_orbit_code': 31525197425149104, 'n': 96, 'trace_an': 0}
id: 47883583
{'hecke_orbit_code': 31525197425149104, 'n': 97, 'trace_an': 8}
id: 47883584
{'hecke_orbit_code': 31525197425149104, 'n': 98, 'trace_an': 0}
id: 47883585
{'hecke_orbit_code': 31525197425149104, 'n': 99, 'trace_an': -2}
id: 47883586
{'hecke_orbit_code': 31525197425149104, 'n': 100, 'trace_an': 0}

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.