LMFDB - Newform data - 7225.2.a.bq

Formats: - HTML - YAML - JSON - 2026-07-27T15:40:09.515946

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': 28900, 'analytic_conductor': 57.69191546037508, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [17, -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': [7225, 1, [2602, 2026], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 1784918073833160704, 'field_disc_factorization': [[2, 35], [127, 1], [449, 1], [911, 1]], 'field_poly': [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 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': [[2, [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 1]], [3, [2, -56, 356, -16, -854, -56, 680, 176, -186, -80, 8, 8, 1]], [7, [6338, -6056, -45684, -27608, 26714, 28888, 4204, -4048, -1680, -72, 76, 16, 1]], [11, [-1598, 26032, 83664, 7808, -55616, -4176, 14580, -480, -1658, 232, 60, -16, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383122489, 'hecke_ring_generator_nbound': 3, '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': '7225.2.a.bq', 'level': 7225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '85.2.l.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(-1-\\beta _{5})q^{3}+(1+\\beta _{6}+\\beta _{7}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7225.2.a', 'trace_display': [4, -8, 0, -16], 'trace_hash': 2271953703347641673, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.941', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '267.837', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.533', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11091.838', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, 'traces': [12, 4, -8, 12, 0, 8, -16, 12, 12, 0, 16, -16, 8, -16, 0, 12, 0, -4, 0, 0, 16, -16, -16, 0, 0, 16, -32, -40, 16, 0, 24, 28, 0, 0, 0, 12, -24, 24, 8, 0, 8, 0, 16, 8, 0, 40, 32, 24, 20, 0, 0, 24, 0, 8, 0, -24, -32, 16, 8, 0, 24, -8, -48, 36, 0, 40, 8, 0, 48, 0, -16, -12, -16, 0, 0, 16, -24, 24, 40, 0, 36, 16, 40, 32, 0, -8, 32, -48, 8, 0, 72, 8, -24, -16, 0, 8, -32, 60, 56, 0, 16, 0, 32, 8, 0, 8, -24, 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272, -40, 0, -168, 16, 24, -96, 0, 416, 376, -24, -248, 0, 144, 120, -16, 352, 0, 128, 184, 352, 128, 0, -136, -224, -176, 280, 0, 24, 0, -240, 128, 0, 176, -272, 32, 408, 0, -72, 248, 136, -112, 0, -104, -112, 288, 0, 0, -88, -464, -216, -112, 0, -88, 0, -136, -80, 0, -424, 0, -368, 24, 0, 0, 344, 296, -120, 0, -40, 32, -136, 96, 0, 432, -16, -128, 160, 0, 24, 336, 0, 84, 0, 272, -304, 208, 232, 0, 296, -448, 8, -320, 0, 184, 0, 72, 0, 0, -384, 16, -176, -272, 0, 224, -32, -144, -64, 0, 200, 400, -96, -536, 0, 8, 0, -36, -56, 0, -72, -184, 424, 56, 0, 256, 48, -128, 24, 0, 216, -96, -256, 0, 0, 208, -72, 272, -56, 0, 96, 304, 176, -328, 0, -128, -80, -680, -32, 0, 0, 144, -80, -160, 0, -296, -256, -224, -80, 0, -272, 0, 16, 48, 0, -328, -216, 0, -88, 0, -152, 248, 32, -184, 0, 128, 16, 96, -280, 0, 104, 96, 272, -248, 0, 280, 72, -352, 44, 0, 160, 224, 8, 24, 0, -32, -216, -96, -160, 0, 96, 0, 56, -448, 0, 160, 16, -16, -128, 0, 160, -80, -16, 224, 0, 80, 104, 240, 0, 0, 96, 288, 184, 136, 0, -176, 192, 200, 16, 0, 152, -48, -376, -336, 0, 0, 168, -48, 8, 0, 272, 336, -64, 344, 0, -240, 64, 120, -136, 0, -16, 144, 0, -168, 0, 40, 264, -360, -240, 0, -152, 144, -112, -120, 0, -8, -8, -380, 480, 0, 248, 144, 168, 336, 0, -416, -240, 216, -176, 0, 392, 280, 336, -184, 0, -216, 0, 40, -104, 0, 40, -312, -16, -248, 0, 412, 120, 336, -200, 0, -120, -576, 224, 0, 0, -80, 328, 296, 224, 0, -176, -144, 272, 120, 0, 88, -272, 200, 128, 0, 0, -80, 40, -32, 0, 128, -24, -24, -176, 0, -40, 160, 272, 88, 0, 296, 160, 0, -32, 0, -184, 152, 216, 0, 0, 184, -136, 224, 56, 0, 256, -8, 40, 112, 0, -200, -96, -344, -536, 0, 144, -152, 184, -200, 0, -24, 192, 152, -200, 0, 80, 0, 152, 520, 0, -248, -112, 112, -224, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, -1, 1, 1, 0, -1, 0, -1], [-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1], [1, 0, 0, 1, -1, -1, 2, 1, 0, -1, -1, 0], [1, 1, 1, 0, 1, 1, -1, -1, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, -1, -1, 0, 1, 1, 1], [-1, -1, -1, 2, -1, -1, 1, 1, 2, -2, -1, -2], [1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1], [0, -3, -1, 1, 0, 0, -1, 1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, -2, 2, 1, -1, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 0, 1, 1, 0, -2, -2, 0, 2, 1, 3], [0, 0, -1, 0, -1, 1, 2, 1, 1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, -1, -1, 1, 0, 0, 2], [-2, 3, 0, 0, 1, 0, -2, -2, 0, 0, 1, 1], [-2, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0], [1, -2, -1, 1, 1, 0, 2, 1, 4, -1, -1, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -1, 4, -1, -1, 1, 2, 1, -1, -2, -2], [-3, 0, -1, 0, 0, -1, -1, 1, -2, 2, 0, 1], [-3, -2, 0, 2, 0, 0, -1, -1, 0, -1, 0, -2], [1, -1, 0, 1, -1, -1, 0, 0, -1, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, 1, -1, -1, 1, 1, -2, 0, 0, 1], [2, 0, 1, 1, 1, -2, 3, 2, -2, 0, 0, 1], [-1, 1, 0, 1, -1, -3, -3, 0, -3, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -2, 1, 1, 2, -1, -1, 1, 0, 0], [-3, 2, 2, -2, 1, 1, -2, -2, 0, 2, 1, 2], [2, 0, -1, -1, -1, 1, 0, 1, 3, 0, 0, -1], [1, 1, 0, 1, -1, -1, 0, 0, 1, -2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -2, -1, -1, -1, 0, 0, 0, -1, 0], [-1, 5, 2, -1, 1, 3, 1, -3, -1, 2, 1, 3], [1, -1, 0, -1, -1, -1, 3, 0, 1, -2, 0, -2], [2, -3, -1, 0, 0, 1, 2, 1, 1, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -3, -1, 1, 0, -3, 3, 3, 1, -1, 0, 0], [3, 0, 0, -1, 1, 0, -1, 0, 1, -1, 1, 0], [3, -2, 0, 2, 2, 0, 2, 0, 4, -2, -1, -4], [1, 3, 0, -2, 0, 2, -3, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -3, -1, 4, 0, -2, 4, 4, 1, -3, -1, -3], [0, -1, 0, -2, 0, 1, 1, 1, 1, -2, 0, -4], [1, -3, 2, -1, -1, 1, 0, 0, -5, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 0, -2, 3, 0, -3, -3, 3, 1, 3, 0], [-2, -2, -2, 0, -2, 0, 3, 3, 2, -1, -1, -2], [2, -1, -1, -2, 1, 0, -2, 2, -2, 1, 0, 0], [0, 4, 2, -2, 2, 2, -4, -2, -2, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 1, -3, 3, 0, -1, 0, 1, -1], [-2, 4, 1, -2, 0, -1, 0, 0, -4, 1, 0, 3], [-4, -5, -1, -2, -2, -2, 6, 4, 2, -1, -1, -4], [2, 2, 0, 5, -1, -2, 2, 2, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -4, 2, -3, 1, -2, 2, 2, -6, 1, 1, 0], [1, -2, 0, 1, -1, 0, 2, 4, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 0, 0, 2, 0, -1, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, -1, 1, -2, -1, -1, -3, 1, 1, 2], [0, -1, -1, -1, -3, 1, 0, 3, -1, -2, -2, -1], [-1, -1, 1, -2, 0, -2, 0, 0, -2, -1, 0, 2], [0, 2, 0, -2, 0, 2, -3, -2, -2, 2, 2, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, -2, 0, 0, -2, -2, 1, 0, 0, 0], [-1, -2, 0, -1, -3, 0, 3, 2, 1, -3, -3, -2], [2, -1, 1, 0, 1, -2, 6, 2, 0, -1, 0, 0], [3, 0, 2, 0, -2, 2, -2, -1, 3, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -3, 0, 1, -1, 2, 2, -1, 2, -2, 0, -3], [1, -1, -1, -2, -2, -1, 1, 3, -2, 0, 0, 0], [3, 2, -1, 2, 2, 1, 1, -1, -4, 1, 1, -1], [1, 6, 1, -3, 2, 1, -2, -1, -6, 6, 3, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -2, -1, -1, -2, 0, 2, 4, -1, 1, 0], [2, 3, 1, -1, 3, 0, -3, -3, 0, 2, 3, 4], [-3, -5, -1, 2, -3, 0, 2, 2, 4, -1, -3, -4], [0, 0, 0, -2, 0, 0, 3, 1, 1, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, -1, -2, 2, -4, 0, 0, 0, -2, -2], [0, 0, -1, 4, -2, -4, 8, 2, 2, -5, -3, -5], [-3, 2, 0, 1, 3, 0, -2, -3, 2, 2, 2, 0], [-3, 1, 0, 3, -1, -2, 2, -1, 4, -2, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -2, 7, 0, -4, -1, 1, 3, -4, -1, -2], [-4, 3, 4, 0, 4, -1, -3, -5, -2, 3, 2, 5], [3, 3, 1, -2, -2, 3, 0, -1, -1, 2, 1, 0], [3, 4, 3, -4, 7, 2, 0, -5, -4, 3, 5, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1], [1, 0, 1, 0, 1, 0, -1, -1, 0, 1, 1, 1], [1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 1, 2, 1, 1, -1, 0, -2], [-2, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0], [1, -1, 0, 1, -1, -1, 0, 0, -1, 0, -1, -1], [2, -1, 0, 1, -1, -1, 1, 1, -2, 0, 0, 1], [-3, 2, 2, -2, 1, 1, -2, -2, 0, 2, 1, 2], [0, 0, 1, -2, -1, -1, -1, 0, 0, 0, -1, 0], [1, -1, 0, -1, -1, -1, 3, 0, 1, -2, 0, -2], [3, 0, 0, -1, 1, 0, -1, 0, 1, -1, 1, 0], [0, -1, 0, -2, 0, 1, 1, 1, 1, -2, 0, -4], [0, 4, 2, -2, 2, 2, -4, -2, -2, 2, 0, 2], [1, -1, 0, -1, 1, -3, 3, 0, -1, 0, 1, -1], [1, -2, 0, 1, -1, 0, 2, 4, 0, 0, -1, -1], [-2, 1, 0, -1, 1, -2, -1, -1, -3, 1, 1, 2], [-1, -1, 1, -2, 0, -2, 0, 0, -2, -1, 0, 2], [3, 0, 2, 0, -2, 2, -2, -1, 3, 0, -1, 0], [3, 2, -1, 2, 2, 1, 1, -1, -4, 1, 1, -1], [0, 0, 0, -2, 0, 0, 3, 1, 1, 0, 0, -2], [-4, 3, 4, 0, 4, -1, -3, -5, -2, 3, 2, 5], [1, -5, -1, 1, -4, -1, 6, 4, -2, -1, 0, -3], [3, -1, 2, -1, -3, 3, -3, 0, 1, 0, -2, 0], [-3, 2, 1, 2, 1, 0, -2, -2, -2, 5, 1, 5], [3, 5, 0, -1, 3, 0, -2, -2, 0, 1, 0, 2], [-1, -1, 1, 4, -2, 0, 0, 2, -4, 1, 0, 0], [1, 1, 2, -3, 1, 1, -5, -1, -5, 4, 1, 3], [-1, 6, 0, -3, 2, 2, 3, -3, -1, 0, -1, 0], [1, 0, -3, 0, -2, -1, 1, 2, -2, 1, 0, 2], [3, 2, -1, 2, -1, -1, 0, 1, -1, 2, 2, 0], [3, 2, -2, -5, 3, 2, 1, 1, -2, 3, 1, -2], [0, 0, -1, 0, 3, -3, 0, -1, -7, 1, 2, 2], [-2, -1, -2, 6, 0, 1, 4, 1, 4, -1, -2, -5], [-7, 1, -1, -2, 1, 1, 2, -4, 2, -1, 0, 0], [-1, 1, 2, -4, 4, 6, -5, -5, 4, 3, 0, 1], [-1, 0, -1, 0, 2, 0, 1, -3, -2, 2, 5, -1], [1, 0, 0, -5, 1, -2, 5, 3, -1, -1, -1, -4], [-4, 2, 1, 2, 1, 4, -3, 0, 1, 5, 2, 1], [5, -2, 3, 1, 0, 1, -1, -2, 4, 0, -3, -2], [-2, -4, -1, -2, -3, -1, -2, 4, 8, -5, -3, -5], [-1, 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-20, -4, 7, 5, 17], [0, -14, 2, 2, -6, -2, 6, -2, 11, 2, -10, -8], [-7, 21, -1, -7, -2, 11, 7, -15, 16, 1, 0, -1], [-10, 5, 7, 8, 9, 1, -12, -4, -6, -2, 7, 3], [-9, 15, 3, 8, 11, 2, -17, -17, -6, 12, 12, 18], [-10, 11, -3, 3, -9, 8, -2, 3, 1, -9, -1, -1], [15, -19, 1, 10, 2, -4, 2, 18, -13, 10, 0, -1], [-7, 25, 1, 0, 10, 4, -3, -11, -4, 6, 10, 3], [-2, 15, 8, -2, 10, 5, -4, -4, 14, 1, 7, 2], [-8, -15, -2, 10, -12, 0, 0, 9, -3, -9, -15, -17], [-2, 19, -9, -19, 5, 4, 7, -7, 4, 0, 11, 4], [-11, 14, 4, 5, 13, -2, -12, -2, 2, 0, 9, 7], [5, 3, 0, 7, -9, -7, 3, -5, 11, -12, -7, 3], [-3, -13, 5, -15, 8, -11, 0, -6, -21, 7, 12, 11], [-21, 6, 2, -7, 7, -8, -10, -2, -4, 5, -9, -2], [-5, 1, 4, -3, 1, -10, -5, 10, -13, 6, 8, 17], [23, -11, -11, 8, -12, 20, 17, 15, 6, -10, -4, -21], [15, -6, 2, -2, -2, 8, -7, 1, -11, 10, -9, 8], [7, -10, -9, -2, -7, 4, 7, 3, -2, 0, 4, -17], [-5, -6, -7, 5, -10, -7, -5, 18, -7, -8, -3, -14], [-6, 15, 1, -6, 0, 8, 4, -14, -2, 3, 3, 4], [0, 11, 11, -2, 7, 1, -6, -18, -3, 14, 9, 11], [10, -6, 3, -14, -5, 1, -25, 7, -4, 2, -2, 5], [-16, 17, 4, 2, 6, -13, -9, -5, -22, 1, 12, 25], [-13, -7, 1, 7, -10, 11, 3, 7, 1, -3, 2, -13], [7, 26, 7, -7, 2, -3, -8, -15, 6, 0, 7, 14], [6, 8, 6, 0, -2, 6, -8, -12, 14, -4, 0, -2], [-9, 16, 0, -4, -4, 16, -20, -2, 10, -2, 5, -2], [-5, -16, -4, 9, -5, 8, 0, 4, 0, -2, -7, -13], [11, -8, -13, 9, -11, 5, 3, 9, 17, -8, 2, -12], [-12, -24, -4, 10, -6, -1, 19, 23, 2, -9, -10, -26], [6, -2, -8, 1, -4, -3, -8, 4, 13, -7, 3, -7], [10, -11, 0, 8, 0, -8, 0, 5, 5, -5, 5, 5], [1, -12, -3, 16, 2, 1, 7, 7, -2, -7, 5, -5], [-3, 16, 11, -10, 13, 6, -25, -23, 6, 13, 7, 19], [-13, 8, -3, 0, 0, 1, -4, -2, 7, 6, 6, 3], [-19, 2, 14, -3, 11, -2, -19, -14, -9, 17, 11, 12], [17, -8, -8, 13, -3, 10, 8, 13, -8, -4, -6, -4], [3, 6, -4, -3, 2, 0, -13, 5, 7, 4, -1, -2], [-2, -4, -1, -12, 2, 4, 21, 15, 6, -6, -8, -21], [30, -33, -7, 12, -2, -2, 15, 9, 2, -2, -15, -13], [-11, 0, -3, -10, 6, 13, 13, 5, 20, -10, 8, -15], [-11, -13, 0, 13, -3, -15, 10, 11, 4, 5, -9, 2], [3, 11, 6, 4, -5, 1, 5, 0, -5, -8, -1, 13], [24, -11, -1, -4, -1, -11, 14, 8, -18, -2, -9, -5], [-4, -5, -3, -1, 9, 6, -15, -1, -18, 2, 1, 0], [-16, 7, 11, 6, 12, -1, -4, -2, -6, 11, 14, 12], [19, 5, -2, -12, -3, -5, -1, 0, -5, 4, -3, 9], [-22, -4, 3, 2, 3, -12, 21, 4, -1, -9, 2, -13], [13, -16, -2, -5, -5, 10, -15, 5, 17, -5, -12, -17], [9, -27, -7, -4, -6, -2, -9, 9, -8, 6, -6, -11], [-1, 0, 11, -19, 0, -5, 11, 2, 6, -2, 5, 4], [-3, -1, -7, -5, -6, -7, -7, 3, -1, -3, -10, -9], [15, -8, 2, 5, 2, 0, 16, 5, -5, -12, -1, 0], [16, -17, 0, -4, 2, 4, 6, 10, -6, -2, -8, -9], [-9, 5, 8, -9, -9, 0, 1, -2, 14, -18, -4, -7], [4, -5, -8, 12, -5, -6, 6, 13, -11, -7, -1, -10], [-4, 9, 7, -10, 15, 10, -4, -20, 12, -1, 10, 0], [-2, -13, -15, 0, -7, -7, 26, 18, 10, -22, -3, -25], [7, -17, -13, 12, -18, -8, 34, 16, -1, -17, -9, -9], [2, -13, -13, 18, -5, -1, 17, 11, 0, 2, 0, -4], [-16, 4, 0, 6, 0, -6, 10, 8, 8, -4, 8, 6], [21, 4, 1, -13, -1, 3, 19, 1, 7, -4, -6, -16], [17, -11, -1, 0, 9, 2, -10, 6, -4, -5, 3, -6], [0, 4, 9, 12, 6, 7, -15, -9, -10, 6, 21, 17], [-12, 10, 5, -12, 1, -7, 20, 2, -16, -3, 13, 5], [6, -4, 3, 1, 3, 9, -4, -4, 8, -6, -3, 10], [-13, -18, -6, 10, -19, -3, 23, 31, 8, -5, -12, -16], [13, -24, -6, 21, 4, -3, 13, 1, -12, -1, 0, -9], [-7, -6, 3, -2, 6, -5, -16, -7, 3, 12, -5, 6], [26, -3, -2, -8, -1, 16, 7, -7, 13, 3, -5, -2], [6, -5, -7, -4, 8, 10, 18, 6, -12, 3, -1, -6], [-11, 23, 9, 9, 16, 5, -21, -15, -12, 23, 18, 31], [-19, 3, 7, -2, -4, 1, -2, 0, -4, 7, 9, 8], [-10, -8, -1, -9, 3, 12, -3, 4, 1, -9, -8, -5], [19, -7, 9, 0, 2, -14, 9, -4, -6, -8, -1, 0], [-12, 10, 5, 17, -5, -11, 3, -8, -8, -3, 1, 17], [18, 32, 11, -11, 7, 13, -34, -23, -3, 4, 2, 17], [16, -4, 5, 12, 7, 13, -9, -4, -10, 18, 7, 4], [24, -12, -3, 8, -13, 7, 14, 19, 14, -9, -6, -12], [-27, 10, -4, -7, 1, -12, 24, 2, -8, -2, 9, -3], [24, -27, -19, 20, -16, -19, 24, 23, -1, -13, -10, -12], [-10, 4, 1, -1, 9, -3, 12, -16, 0, -2, 9, -2], [-19, 13, 1, -12, 6, -6, 3, -2, -16, 10, 15, 4], [-2, 7, 15, -10, 2, 18, -9, -9, 12, 2, 3, 15], [6, -7, 3, -10, 1, 1, 6, 6, -12, -9, -3, -8], [10, 5, -2, -8, -8, -8, 6, 11, -16, -7, 1, 1], [-19, -4, 5, -12, 6, -8, -2, -8, -14, 5, 2, -9], [0, 0, 4, -6, 2, -22, 8, -4, -8, -10, -8, 4], [7, -27, -13, 32, -15, -11, 14, 12, 6, -11, -20, -24], [12, 12, 0, 2, 12, 8, -23, -11, -5, 6, 16, 12], [-25, -4, -8, 17, -9, -8, 3, 1, -17, -5, 0, -3], [13, 12, 4, 1, 7, -2, -1, -7, 4, 9, -5, 18], [8, -15, -14, 8, -3, 5, 7, 11, -2, 16, 6, -5], [-10, -12, 4, 2, -12, -2, 3, 17, 4, -13, -15, -6], [-3, 3, -2, -9, 5, 3, 32, -2, 10, -13, -10, -17], [11, 0, 6, 2, -7, 6, -19, 3, -8, 11, 17, 22], [-5, -9, -4, 5, -3, 3, 20, 16, -11, 8, -7, -7], [1, 23, 1, -12, 10, -8, 16, -4, -5, -5, 5, -7], [-2, 15, 9, -21, 10, 4, -10, -5, 4, 2, 11, 3], [-7, -2, -2, -5, -1, 18, 6, 2, 6, 2, -5, -13], [-6, -18, -14, 0, -10, 6, 7, 17, 17, -13, -9, -26], [2, 2, 0, 10, -10, -18, -13, -7, 10, -9, -1, 0], [-15, 25, 10, -17, 19, -5, -24, -28, -16, 19, 12, 33], [-7, 5, -2, 3, 1, 2, -12, 2, -14, -1, -14, -6], [9, -5, 3, 11, -12, -15, -3, -3, -3, -9, -14, -3], [-1, -10, -8, 14, 0, -5, 2, 9, 0, 9, -10, -5], [-10, 15, 1, -14, -2, 11, 6, -16, 28, -3, -2, -12], [13, 6, 3, 1, -4, -9, 4, 3, -12, -4, -1, -4], [5, 26, 5, -13, -4, 21, -27, -4, 8, 6, -5, 2], [15, -14, 3, 10, -2, 3, 0, 2, 0, 5, -7, -11], [-20, 7, -4, -11, -17, 8, -7, 9, 9, -11, -17, -12], [11, 0, 8, 5, 2, 9, 11, -9, 0, 5, 4, 11], [11, -26, -9, -14, -10, -7, 27, 20, 26, -21, -8, -28], [10, 27, 8, -8, 2, 12, -30, -21, -12, 5, -1, 23], [-6, 8, 13, -9, 1, 7, 6, -2, 11, -2, -9, -6], [-7, -11, 9, -15, 4, 4, 9, -10, 21, -6, -6, -7], [-12, 9, 14, -4, -2, -17, -6, -10, -28, 9, -3, 18], [-18, -11, 3, 18, 4, 6, -7, 1, -4, 10, 6, 0], [-16, -1, -11, 6, 7, 0, 17, -1, -8, -4, -1, -4], [42, -9, -16, 2, -9, 4, 5, 7, 27, -15, -9, -20], [13, -2, -3, 14, 5, -2, -19, 11, -6, 12, 0, 9], [-4, 25, -8, 6, 12, 14, 0, -7, -1, 3, -7, -3], [-7, 24, 6, -7, 3, -6, -1, -3, -3, -3, -2, 7], [-35, 5, 3, 6, -9, 6, 12, 2, -4, 11, 3, 12], [31, -6, -3, 4, -10, 7, 2, 9, 15, -10, -7, -16], [-9, -1, 7, 1, 0, 8, -16, 8, -19, 14, 2, 17], [-18, 22, 11, -6, 1, 7, -9, -17, 30, -8, 4, 1], [12, -14, -4, -10, 4, -6, 12, 2, 6, 0, 2, -18], [-21, 0, -8, 5, 1, -4, -6, 3, -6, -12, 0, -4], [24, -2, -5, 12, -7, 3, 36, 1, 10, -9, 10, -4], [-6, 12, -5, 12, -3, -5, 11, 1, -30, 2, 2, -1], [0, 6, 6, -6, 18, 12, 2, -10, -4, 14, 20, 16], [-8, 21, 1, -18, 7, 19, -18, -10, 10, 16, 3, 7], [21, 2, -11, 1, 7, -6, 3, 5, -12, -5, -1, -3], [-2, -3, -8, 4, -14, 12, -25, -6, 19, 1, -15, -11], [9, -15, 1, 18, 2, 0, -9, 4, -19, -4, -2, -1], [-25, 4, -4, -15, -9, 2, 6, 0, -4, -6, 3, -7], [-1, -12, -4, 15, 5, 10, 21, 8, 7, 9, -3, -8], [-24, -7, -11, 10, 1, -9, 21, 3, -14, 0, 2, -16], [0, 5, -16, 8, -2, 20, 4, 1, 8, 5, -5, -7], [-17, 6, 4, 32, -2, -3, -19, -3, -10, 11, 12, 25], [-5, 14, 7, 8, 10, -13, 2, -1, -33, 10, -3, 12], [13, 7, -8, 21, 1, 4, -16, -13, -19, 8, -4, 11], [27, -21, -22, 9, -13, -7, 36, 27, 8, -11, 1, -20], [-21, 24, 12, -2, 6, -2, -21, -15, 1, 10, 7, 26], [-8, 3, -2, 6, -16, 0, -2, -4, -12, 8, 0, 5], [-7, 28, 4, -9, 9, 8, -9, -14, -11, 21, 23, 12], [19, -13, -10, 19, 9, -11, -5, 0, 7, 14, -4, 0], [13, 10, -7, 6, -7, 5, 9, 1, 3, -12, -8, -14], [20, -3, -12, -26, 4, 9, 21, 12, 3, 2, -7, -15], [31, -15, -4, 16, 13, 8, 10, 6, 4, -3, 2, -16], [-22, -1, -2, -2, 7, -7, -1, -5, -14, -4, 0, -13], [1, 14, 0, -14, 2, 17, -26, -16, 14, 8, 0, 8], [-24, 1, 6, -2, -6, -3, 7, -3, -6, 3, -6, 1], [33, -12, -1, -6, -18, 5, 10, 12, 5, -8, -8, -1], [-7, 11, 4, 11, 7, 16, -19, -14, 2, 18, 4, 19], [10, 4, -4, -18, 0, 8, -3, -9, 0, -7, 9, -6], [26, 22, -3, -18, 0, 10, -16, -6, -4, -7, -1, -3], [15, -12, -2, 15, -1, 14, -35, -3, 16, 15, 1, 2], [28, -5, -6, 2, 10, -5, 4, -6, 10, 6, -5, 1], [14, 9, -6, -6, 8, -7, 12, 3, -4, -17, 16, 3], [10, -2, 7, 4, -6, -14, -8, -8, 2, -9, -1, -9], [13, -19, -8, 3, -1, -1, 19, 10, -29, -2, -9, -11], [20, 22, -12, -28, 0, -2, 2, 2, 15, 0, -8, 0], [-16, -19, -11, 26, -18, -7, 9, 9, -15, -5, -6, -8]], 'char_orbit_index': 1, 'field_poly': [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 1], 'hecke_orbit_code': 189151184383122489, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 41, 41, 41, 41, 41, 41, 1, 41, 41, 41], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 4, 0, 1, -1, -1, 2, 1, 0, -1, -1, 0], [15, 1, 0, 0, 0, -2, 8, 7, -1, -1, -1, 1], [10, 20, 1, 9, -7, -10, 19, 10, -2, -8, -8, 1], [88, 12, 0, 5, -1, -22, 58, 48, -10, -11, -11, 10], [91, 113, 10, 67, -43, -80, 151, 83, -21, -59, -58, 9], [560, 107, -1, 71, -16, -189, 421, 335, -72, -99, -98, 71], [772, 681, 72, 484, -264, -606, 1146, 657, -158, -436, -417, 55], [3733, 850, -17, 718, -173, -1507, 3087, 2378, -458, -841, -810, 432], [6241, 4250, 449, 3510, -1660, -4536, 8565, 5096, -1032, -3254, -3015, 248]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1470, 2901, -8961, -5884, 16568, 1071, -10314, 1476, 2455, -568, -195, 54], [1191, 8504, 11023, -20329, -27485, 20184, 18116, -9389, -4399, 1925, 352, -141], [2356, 14163, 14990, -33533, -39646, 32299, 26388, -14596, -6428, 2933, 515, -212], [2217, 14642, 17293, -35311, -44241, 34540, 29265, -15785, -7111, 3195, 569, -232], [2793, 19292, 25856, -45964, -65289, 46196, 43158, -21771, -10485, 4505, 839, -332], [-2916, -19292, -25815, 45964, 65289, -46196, -43158, 21771, 10485, -4505, -839, 332], [108, 590, 524, -1388, -1449, 1294, 971, -568, -237, 112, 19, -8], [-3999, -24418, -26502, 58348, 68594, -55892, -45321, 25092, 10997, -5021, -879, 362], [3328, 23573, 31139, -55838, -77481, 55433, 50942, -25871, -12342, 5323, 986, -391], [5644, 33296, 34564, -79056, -91448, 75479, 60804, -33866, -14799, 6779, 1185, -489]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '7225.2.a.bq', 'level': 7225, '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': [96, 100, 109, 101], 'ALdims_eis_new': [7, 8, 14, 16], 'ALdims_eis_old': [19, 19, 13, 11], 'ALdims_old': [76, 83, 71, 75], 'Nk2': 28900, 'analytic_conductor': 57.69191546037508, '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': [7225, 1, [2602, 2026], [1, 1]], 'conrey_index': 1, 'cusp_dim': 711, 'dim': 406, 'eis_dim': 107, 'eis_new_dim': 45, 'hecke_cutter_primes': [2, 3, 7, 11], 'hecke_orbit_code': 33561657, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 24, 24, 24, 24, 24], 'label': '7225.2.a', 'level': 7225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 818, 'mf_new_dim': 451, 'num_forms': 54, 'plus_dim': 197, 'prim_orbit_index': 1, 'relative_dim': 406, 'sturm_bound': 1530, 'trace_bound': 7, 'trace_display': [-2, 0, 0, -4], 'traces': [406, -2, 0, 378, 0, 0, -4, -6, 362, 0, 4, 4, -10, 16, 0, 322, 0, 22, -10, 0, 0, 8, 0, 36, 0, 20, -12, -16, 8, 0, -8, -4, 30, 0, 0, 276, -12, 36, -8, 0, 24, -2, -2, -20, 0, 0, 22, -24, 268, 0, 0, 16, 26, 40, 0, 44, 0, -4, -10, 0, -12, 4, -24, 198, 0, 40, -26, 0, 18, 0, -36, 32, -32, 48, 0, -4, 18, 36, -40, 0, 278, 0, 20, 132, 0, -38, -12, 28, -6, 0, -48, -12, -12, 32, 0, 152, 4, -52, 24, 0, -8, 0, 48, 94, 0, 48, 32, 60, 0, 0, 0, -4, -32, 92, 0, 40, -24, 54, 0, 0, 186, 32, 6, -36, 0, 28, -8, -24, -36, 0, 80, 26, -16, -30, 0, 0, 10, 174, 28, 0, 8, -40, -28, 124, 0, -96, 20, -60, 20, 0, -72, 38, 0, -46, 0, -100, -6, -84, -64, 0, 36, 62, 36, 24, 0, 72, -12, 108, 124, 0, -88, -48, 36, -158, 0, -84, 56, 16, -86, 0, 48, 4, -100, 16, 0, -174, 0, 40, -8, 0, -32, 36, 24, -4, 0, 66, 4, -84, -76, 0, 64, 32, 42, 0, 0, -200, -76, 54, 72, 0, -72, 54, 68, -100, 0, 140, -46, -24, -26, 0, 0, 26, -60, -104, 0, 212, -4, -32, -48, 0, -24, 28, -12, 200, 0, -40, -86, 0, 32, 0, 28, -32, -136, -36, 0, -132, -90, 48, 112, 0, 0, 44, -18, -110, 0, -166, -6, 4, -154, 0, 76, -12, -56, -70, 0, -36, 52, -102, 44, 0, -136, 0, -30, -38, 0, -112, -8, 64, -124, 0, 88, -28, -4, -216, 0, 32, 50, 150, 0, 0, -112, 24, 224, 12, 0, 192, 64, 138, 84, 0, -44, -40, -4, -94, 0, 0, -174, 276, 40, 0, -4, -44, -24, 176, 0, -220, -56, -40, -130, 0, 98, -42, 0, 100, 0, -52, -46, -96, 120, 0, -18, -38, 108, -80, 0, 444, 12, 174, -58, 0, 40, 96, 52, 110, 0, 56, 36, 206, -84, 0, -12, 8, 90, -324, 0, -206, 0, 36, -40, 0, 28, 100, 28, 68, 0, 90, -52, 8, 156, 0, -12, 84, -66, 0, 0, -96, -8, 88, 72, 0, 28, -76, -32, 340, 0, 40, 232, -36, 330, 0, 0, 78, 78, -148, 0, 120, 24, -20, -146, 0, 128, 68, -92, 96, 0, 48, 28, 0, 166, 0, 136, 38, -8, -40, 0, 244, -8, 64, 20, 0, 58, 28, 18, 86, 0, 54, -110, -44, 190, 0, -104, -84, 120, 374, 0, 40, 16, 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-8, 0, 28, 40, -32, -184, 0, 72, 248, 24, 236, 0, -218, -72, -250, -298, 0, -104, 130, -8, -142, 0, 352, 4, -244, 210, 0, -252, -12, 56, 152, 0, -316, 0, -62, -108, 0, -166, -8, -80, -252, 0, 176, 28, -40, -164, 0, -152, 134, -76, 0, 0, -498, -168, 44, -196, 0, -8, -270, -86, 208, 0, -212, 52, 52, -226, 0, 0, 84, 8, -332, 0, 136, 12, 48, -24, 0, -292, 128, -56, -374, 0, -176, -202, 0, 64, 0, -108, -22, 128, 484, 0, 324, 90, -52, 4, 0, 18, 108, 166, 368, 0, 178, -50, 8, -232, 0, 100, 0, 74, -332, 0, -148, -8, -214, -136, 0, 180, 0, 142, -50, 0, 252, -36, 20, -216, 0, -68, 8, -56, 212, 0, -100, 174, 318, 0, 0, 382, 68, -312, 112, 0, 76, 312, 34, 132, 0, 44, -370, 32, 116, 0, 0, -194, 68, 160, 0, -140, 4, -16, -388, 0, 420, -160, 24, -78, 0, -126, 240, 0, -304, 0, 456, 278, -12, -228, 0, -116, 18, -24, -276, 0, -350, -128, -276, -10, 0, 122, 146, -4, 318, 0, -144, 88, 430, 94, 0, 20, -28, 80, 320, 0, 16, 0, -350, -68, 0, -342, 16, 4, 328, 0, 304, 0, 88, -40, 0, 80, 124, -348, 0, 0, 164, -72, 82, -44, 0, 72, -472, -20, -236, 0, -356, 98, 32, 56, 0, 0, -16, -400, 612, 0, -88, 132, 120, -58, 0, 108, 64, 116, 132, 0, 128, 38, 0, -88, 0, 0, 98, 4, 216, 0, -160, 366, -116, 48, 0, -490, -36, -136, 412, 0, 186, -26, -164, -98, 0, -128, 8, 54, 310, 0, 248, 12, -252, 212, 0, 322, 0, -66, 762, 0, 122, -112, 28, 136, 0, -596, 112, 180, 468, 0, 252, -368, -266, 0, 0, 72, 68, -92, 0, 0, 276, 460, -218, -112, 0, -12, -58, 108, -58, 0, 0, -166, -436, 48, 0, -300, -76, -80, 104, 0, 288, 52, 52, 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: 1341276
{'conductor': 85, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 12, 'target_dim': 24, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '85.2.l.a', 'target_level': 85, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '85.p', 'twisting_char_orbit': 16, 'weight': 2}
id: 1341277
{'conductor': 17, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 13, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '425.2.m.b', 'target_level': 425, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
id: 1341278
{'conductor': 85, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '425.2.n.c', 'target_level': 425, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '85.r', 'twisting_char_orbit': 18, 'weight': 2}
id: 1341279
{'conductor': 85, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 14, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '425.2.n.f', 'target_level': 425, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '85.o', 'twisting_char_orbit': 15, 'weight': 2}
id: 1341280
{'conductor': 255, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 31, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '765.2.be.b', 'target_level': 765, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '255.be', 'twisting_char_orbit': 31, 'weight': 2}
id: 1341281
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1445.2.a.p', 'target_level': 1445, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
id: 1341282
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1445.2.a.q', 'target_level': 1445, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
id: 1341283
{'conductor': 85, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 4, 'target_dim': 24, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1445.2.d.j', 'target_level': 1445, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '85.j', 'twisting_char_orbit': 10, 'weight': 2}
id: 1341284
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '7225.2.a.bq', 'target_level': 7225, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
id: 1341285
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 43, 'source_is_minimal': False, 'source_label': '7225.2.a.bq', 'source_level': 7225, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '7225.2.a.bs', 'target_level': 7225, 'twist_class_label': '85.2.l.a', 'twist_class_level': 85, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4417375
{'charpoly_factorization': [[[17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 2}
id: 4417376
{'charpoly_factorization': [[[2, -56, 356, -16, -854, -56, 680, 176, -186, -80, 8, 8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 3}
id: 4417377
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 189151184383122489, 'p': 5}
id: 4417378
{'charpoly_factorization': [[[6338, -6056, -45684, -27608, 26714, 28888, 4204, -4048, -1680, -72, 76, 16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 7}
id: 4417379
{'charpoly_factorization': [[[-1598, 26032, 83664, 7808, -55616, -4176, 14580, -480, -1658, 232, 60, -16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 11}
id: 4417380
{'charpoly_factorization': [[[-23932, 188128, 26960, -229968, 4272, 83680, -7068, -10856, 1114, 520, -60, -8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 13}
id: 4417381
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 189151184383122489, 'p': 17}
id: 4417382
{'charpoly_factorization': [[[-3008, -5376, 105664, -155136, 40048, 42624, -21184, -2624, 2348, 16, -92, 0, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 19}
id: 4417383
{'charpoly_factorization': [[[-2206, -14840, 39476, 56016, -125762, -1344, 45872, 6704, -3650, -888, 12, 16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 23}
id: 4417384
{'charpoly_factorization': [[[-6008, 31424, -6256, -241024, 546220, -460736, 147712, -3872, -7570, 1360, -4, -16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 29}
id: 4417385
{'charpoly_factorization': [[[352546, -467920, -503840, 502896, 134176, -190864, 18564, 21536, -6448, 152, 168, -24, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 31}
id: 4417386
{'charpoly_factorization': [[[26248, 59488, -1073760, 2334912, -970300, -334912, 166392, 27200, -8202, -1304, 100, 24, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 37}
id: 4417387
{'charpoly_factorization': [[[-427904, 958976, -139520, -779264, 260096, 221056, -68128, -26432, 5200, 992, -152, -8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 41}
id: 4417388
{'charpoly_factorization': [[[63172, -2495344, 5300088, -1843152, -1402148, 712176, 95300, -68256, -446, 1896, -72, -16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 43}
id: 4417389
{'charpoly_factorization': [[[45712388, 408896, -35225424, 10892048, 4426592, -2518016, 176452, 100056, -20586, 160, 312, -32, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 47}
id: 4417390
{'charpoly_factorization': [[[-8342512, -25680960, 1552704, 18540064, 2929672, -3557472, -929528, 103632, 34572, -552, -340, 0, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 53}
id: 4417391
{'charpoly_factorization': [[[296882176, 84303872, -177895424, -42518528, 21752576, 4081664, -1074176, -139008, 25168, 1824, -264, -8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 59}
id: 4417392
{'charpoly_factorization': [[[-12501472, -33484032, 73022400, -8825984, -18182512, 1845504, 1198704, -152768, -24776, 4528, -32, -24, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 61}
id: 4417393
{'charpoly_factorization': [[[-961394684, 1276344416, -104248400, -185423152, 23898224, 9713504, -1294284, -229096, 29802, 2376, -300, -8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 67}
id: 4417394
{'charpoly_factorization': [[[1907842, 7287232, -4106280, -6242304, -447508, 1225504, 438988, 26704, -11870, -2200, -44, 16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 71}
id: 4417395
{'charpoly_factorization': [[[15430176, 57939840, -62005824, -699648, 12013184, -1465504, -709424, 106048, 17076, -2432, -180, 16, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 73}
id: 4417396
{'charpoly_factorization': [[[23846133218, -15022243824, -2787128, 1447213792, -194513172, -36349952, 8681748, -19136, -109828, 6632, 312, -40, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 79}
id: 4417397
{'charpoly_factorization': [[[-3068795644, -12208069952, 5797401776, 619550304, -478529200, 6486784, 13028748, -741112, -124422, 11312, 164, -40, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 83}
id: 4417398
{'charpoly_factorization': [[[186436, 646752, 131184, -867552, -80816, 312336, 9884, -40112, 1416, 1776, -176, -8, 1], 1]], 'hecke_orbit_code': 189151184383122489, 'p': 89}
id: 4417399
{'charpoly_factorization': [[[-3976256888, -6584458336, 672188992, 1778107072, -190414124, -78430016, 4901992, 1426608, -28570, -11448, -132, 32, 1], 1]], 'hecke_orbit_code': 189151184383122489, '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': 43, 'label': '7225.2.a.bq', 'level': 7225, '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: 70857613
{'hecke_orbit_code': 189151184383122489, 'n': 1, 'trace_an': 12}
id: 70857614
{'hecke_orbit_code': 189151184383122489, 'n': 2, 'trace_an': 4}
id: 70857615
{'hecke_orbit_code': 189151184383122489, 'n': 3, 'trace_an': -8}
id: 70857616
{'hecke_orbit_code': 189151184383122489, 'n': 4, 'trace_an': 12}
id: 70857617
{'hecke_orbit_code': 189151184383122489, 'n': 5, 'trace_an': 0}
id: 70857618
{'hecke_orbit_code': 189151184383122489, 'n': 6, 'trace_an': 8}
id: 70857619
{'hecke_orbit_code': 189151184383122489, 'n': 7, 'trace_an': -16}
id: 70857620
{'hecke_orbit_code': 189151184383122489, 'n': 8, 'trace_an': 12}
id: 70857621
{'hecke_orbit_code': 189151184383122489, 'n': 9, 'trace_an': 12}
id: 70857622
{'hecke_orbit_code': 189151184383122489, 'n': 10, 'trace_an': 0}
id: 70857623
{'hecke_orbit_code': 189151184383122489, 'n': 11, 'trace_an': 16}
id: 70857624
{'hecke_orbit_code': 189151184383122489, 'n': 12, 'trace_an': -16}
id: 70857625
{'hecke_orbit_code': 189151184383122489, 'n': 13, 'trace_an': 8}
id: 70857626
{'hecke_orbit_code': 189151184383122489, 'n': 14, 'trace_an': -16}
id: 70857627
{'hecke_orbit_code': 189151184383122489, 'n': 15, 'trace_an': 0}
id: 70857628
{'hecke_orbit_code': 189151184383122489, 'n': 16, 'trace_an': 12}
id: 70857629
{'hecke_orbit_code': 189151184383122489, 'n': 17, 'trace_an': 0}
id: 70857630
{'hecke_orbit_code': 189151184383122489, 'n': 18, 'trace_an': -4}
id: 70857631
{'hecke_orbit_code': 189151184383122489, 'n': 19, 'trace_an': 0}
id: 70857632
{'hecke_orbit_code': 189151184383122489, 'n': 20, 'trace_an': 0}
id: 70857633
{'hecke_orbit_code': 189151184383122489, 'n': 21, 'trace_an': 16}
id: 70857634
{'hecke_orbit_code': 189151184383122489, 'n': 22, 'trace_an': -16}
id: 70857635
{'hecke_orbit_code': 189151184383122489, 'n': 23, 'trace_an': -16}
id: 70857636
{'hecke_orbit_code': 189151184383122489, 'n': 24, 'trace_an': 0}
id: 70857637
{'hecke_orbit_code': 189151184383122489, 'n': 25, 'trace_an': 0}
id: 70857638
{'hecke_orbit_code': 189151184383122489, 'n': 26, 'trace_an': 16}
id: 70857639
{'hecke_orbit_code': 189151184383122489, 'n': 27, 'trace_an': -32}
id: 70857640
{'hecke_orbit_code': 189151184383122489, 'n': 28, 'trace_an': -40}
id: 70857641
{'hecke_orbit_code': 189151184383122489, 'n': 29, 'trace_an': 16}
id: 70857642
{'hecke_orbit_code': 189151184383122489, 'n': 30, 'trace_an': 0}
id: 70857643
{'hecke_orbit_code': 189151184383122489, 'n': 31, 'trace_an': 24}
id: 70857644
{'hecke_orbit_code': 189151184383122489, 'n': 32, 'trace_an': 28}
id: 70857645
{'hecke_orbit_code': 189151184383122489, 'n': 33, 'trace_an': 0}
id: 70857646
{'hecke_orbit_code': 189151184383122489, 'n': 34, 'trace_an': 0}
id: 70857647
{'hecke_orbit_code': 189151184383122489, 'n': 35, 'trace_an': 0}
id: 70857648
{'hecke_orbit_code': 189151184383122489, 'n': 36, 'trace_an': 12}
id: 70857649
{'hecke_orbit_code': 189151184383122489, 'n': 37, 'trace_an': -24}
id: 70857650
{'hecke_orbit_code': 189151184383122489, 'n': 38, 'trace_an': 24}
id: 70857651
{'hecke_orbit_code': 189151184383122489, 'n': 39, 'trace_an': 8}
id: 70857652
{'hecke_orbit_code': 189151184383122489, 'n': 40, 'trace_an': 0}
id: 70857653
{'hecke_orbit_code': 189151184383122489, 'n': 41, 'trace_an': 8}
id: 70857654
{'hecke_orbit_code': 189151184383122489, 'n': 42, 'trace_an': 0}
id: 70857655
{'hecke_orbit_code': 189151184383122489, 'n': 43, 'trace_an': 16}
id: 70857656
{'hecke_orbit_code': 189151184383122489, 'n': 44, 'trace_an': 8}
id: 70857657
{'hecke_orbit_code': 189151184383122489, 'n': 45, 'trace_an': 0}
id: 70857658
{'hecke_orbit_code': 189151184383122489, 'n': 46, 'trace_an': 40}
id: 70857659
{'hecke_orbit_code': 189151184383122489, 'n': 47, 'trace_an': 32}
id: 70857660
{'hecke_orbit_code': 189151184383122489, 'n': 48, 'trace_an': 24}
id: 70857661
{'hecke_orbit_code': 189151184383122489, 'n': 49, 'trace_an': 20}
id: 70857662
{'hecke_orbit_code': 189151184383122489, 'n': 50, 'trace_an': 0}
id: 70857663
{'hecke_orbit_code': 189151184383122489, 'n': 51, 'trace_an': 0}
id: 70857664
{'hecke_orbit_code': 189151184383122489, 'n': 52, 'trace_an': 24}
id: 70857665
{'hecke_orbit_code': 189151184383122489, 'n': 53, 'trace_an': 0}
id: 70857666
{'hecke_orbit_code': 189151184383122489, 'n': 54, 'trace_an': 8}
id: 70857667
{'hecke_orbit_code': 189151184383122489, 'n': 55, 'trace_an': 0}
id: 70857668
{'hecke_orbit_code': 189151184383122489, 'n': 56, 'trace_an': -24}
id: 70857669
{'hecke_orbit_code': 189151184383122489, 'n': 57, 'trace_an': -32}
id: 70857670
{'hecke_orbit_code': 189151184383122489, 'n': 58, 'trace_an': 16}
id: 70857671
{'hecke_orbit_code': 189151184383122489, 'n': 59, 'trace_an': 8}
id: 70857672
{'hecke_orbit_code': 189151184383122489, 'n': 60, 'trace_an': 0}
id: 70857673
{'hecke_orbit_code': 189151184383122489, 'n': 61, 'trace_an': 24}
id: 70857674
{'hecke_orbit_code': 189151184383122489, 'n': 62, 'trace_an': -8}
id: 70857675
{'hecke_orbit_code': 189151184383122489, 'n': 63, 'trace_an': -48}
id: 70857676
{'hecke_orbit_code': 189151184383122489, 'n': 64, 'trace_an': 36}
id: 70857677
{'hecke_orbit_code': 189151184383122489, 'n': 65, 'trace_an': 0}
id: 70857678
{'hecke_orbit_code': 189151184383122489, 'n': 66, 'trace_an': 40}
id: 70857679
{'hecke_orbit_code': 189151184383122489, 'n': 67, 'trace_an': 8}
id: 70857680
{'hecke_orbit_code': 189151184383122489, 'n': 68, 'trace_an': 0}
id: 70857681
{'hecke_orbit_code': 189151184383122489, 'n': 69, 'trace_an': 48}
id: 70857682
{'hecke_orbit_code': 189151184383122489, 'n': 70, 'trace_an': 0}
id: 70857683
{'hecke_orbit_code': 189151184383122489, 'n': 71, 'trace_an': -16}
id: 70857684
{'hecke_orbit_code': 189151184383122489, 'n': 72, 'trace_an': -12}
id: 70857685
{'hecke_orbit_code': 189151184383122489, 'n': 73, 'trace_an': -16}
id: 70857686
{'hecke_orbit_code': 189151184383122489, 'n': 74, 'trace_an': 0}
id: 70857687
{'hecke_orbit_code': 189151184383122489, 'n': 75, 'trace_an': 0}
id: 70857688
{'hecke_orbit_code': 189151184383122489, 'n': 76, 'trace_an': 16}
id: 70857689
{'hecke_orbit_code': 189151184383122489, 'n': 77, 'trace_an': -24}
id: 70857690
{'hecke_orbit_code': 189151184383122489, 'n': 78, 'trace_an': 24}
id: 70857691
{'hecke_orbit_code': 189151184383122489, 'n': 79, 'trace_an': 40}
id: 70857692
{'hecke_orbit_code': 189151184383122489, 'n': 80, 'trace_an': 0}
id: 70857693
{'hecke_orbit_code': 189151184383122489, 'n': 81, 'trace_an': 36}
id: 70857694
{'hecke_orbit_code': 189151184383122489, 'n': 82, 'trace_an': 16}
id: 70857695
{'hecke_orbit_code': 189151184383122489, 'n': 83, 'trace_an': 40}
id: 70857696
{'hecke_orbit_code': 189151184383122489, 'n': 84, 'trace_an': 32}
id: 70857697
{'hecke_orbit_code': 189151184383122489, 'n': 85, 'trace_an': 0}
id: 70857698
{'hecke_orbit_code': 189151184383122489, 'n': 86, 'trace_an': -8}
id: 70857699
{'hecke_orbit_code': 189151184383122489, 'n': 87, 'trace_an': 32}
id: 70857700
{'hecke_orbit_code': 189151184383122489, 'n': 88, 'trace_an': -48}
id: 70857701
{'hecke_orbit_code': 189151184383122489, 'n': 89, 'trace_an': 8}
id: 70857702
{'hecke_orbit_code': 189151184383122489, 'n': 90, 'trace_an': 0}
id: 70857703
{'hecke_orbit_code': 189151184383122489, 'n': 91, 'trace_an': 72}
id: 70857704
{'hecke_orbit_code': 189151184383122489, 'n': 92, 'trace_an': 8}
id: 70857705
{'hecke_orbit_code': 189151184383122489, 'n': 93, 'trace_an': -24}
id: 70857706
{'hecke_orbit_code': 189151184383122489, 'n': 94, 'trace_an': -16}
id: 70857707
{'hecke_orbit_code': 189151184383122489, 'n': 95, 'trace_an': 0}
id: 70857708
{'hecke_orbit_code': 189151184383122489, 'n': 96, 'trace_an': 8}
id: 70857709
{'hecke_orbit_code': 189151184383122489, 'n': 97, 'trace_an': -32}
id: 70857710
{'hecke_orbit_code': 189151184383122489, 'n': 98, 'trace_an': 60}
id: 70857711
{'hecke_orbit_code': 189151184383122489, 'n': 99, 'trace_an': 56}
id: 70857712
{'hecke_orbit_code': 189151184383122489, '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.