-
mf_newforms • Show schema
Hide schema
{'Nk2': 126948, 'analytic_conductor': 253.42122089493756, 'atkin_lehner_eigenvals': [[3, 1], [71, 1], [149, 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': [31737, 1, [10580, 22798, 1492], [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_orbit': 1, 'hecke_orbit_code': 33586169, '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': True, 'label': '31737.2.a.a', 'level': 31737, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 71, 149], 'level_radical': 31737, 'minimal_twist': '31737.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}-q^{3}+2q^{4}-2q^{5}+2q^{6}+\\cdots', 'related_objects': ['EllipticCurve/Q/31737/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '31737.2.a', 'trace_display': [-2, -1, -2, -4], 'traces': [1, -2, -1, 2, -2, 2, -4, 0, 1, 4, -5, -2, -6, 8, 2, -4, -2, -2, -4, -4, 4, 10, -9, 0, -1, 12, -1, -8, -9, -4, 2, 8, 5, 4, 8, 2, -7, 8, 6, 0, 9, -8, 4, -10, -2, 18, -12, 4, 9, 2, 2, -12, -6, 2, 10, 0, 4, 18, -9, 4, -8, -4, -4, -8, 12, -10, -2, -4, 9, -16, -1, 0, -7, 14, 1, -8, 20, -12, -4, 8, 1, -18, -14, 8, 4, -8, 9, 0, 4, 4, 24, -18, -2, 24, 8, -8, -13, -18, -5, -2], 'weight': 2, 'weight_parity': 1}
-
label 31737.2.a.a does not appear in mf_hecke_nf
-
mf_newspaces • Show schema
Hide schema
{'ALdims': [217, 214, 214, 217, 237, 196, 196, 236], 'Nk2': 126948, 'analytic_conductor': 253.42122089493756, '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': [31737, 1, [10580, 22798, 1492], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3597, 'dim': 1727, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_orbit_code': 33586169, 'label': '31737.2.a', 'level': 31737, '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': True, 'level_primes': [3, 71, 149], 'level_radical': 31737, 'mf_dim': 3604, 'mf_new_dim': 1727, 'plus_dim': 826, 'prim_orbit_index': 1, 'relative_dim': 1727, 'sturm_bound': 7200, 'trace_display': [-3, 3, -6, 0], 'traces': [1727, -3, 3, 1733, -6, 5, 0, -15, 1727, -2, 12, 5, 10, -8, 2, 1733, -10, -3, 28, -2, 16, 28, 0, 33, 1721, 14, 3, 24, -14, 14, 8, -23, -12, 18, -16, 1733, -14, -4, 10, 86, 14, 0, 4, 52, -6, -40, 0, 29, 1783, 75, -2, 70, -14, 5, -56, 56, 44, 78, 20, -18, 26, 88, 0, 1709, -20, -20, 4, 106, 8, 48, -1, -15, -26, 6, 13, 108, -80, -18, 72, 110, 1727, -110, 20, 48, -60, -76, -6, 36, -10, -2, 88, 40, 24, 24, 56, 81, -26, 85, 12, 1803, -62, -54, 8, 110, -48, 78, 20, 5, 18, 224, 82, 0, -34, -4, 48, -66, 10, 12, -112, -26, 1715, -98, 6, 120, -84, -8, 80, 49, 28, -212, -60, -60, -80, -76, 2, -70, -98, -24, 4, 48, 0, -3, -32, 1733, -60, -22, 75, -74, -1, -45, 48, -84, -10, -120, 24, -10, -54, 24, -22, 174, 32, -3, -76, -54, -8, 68, -24, -72, 1777, 84, 28, 44, 18, -42, -96, 356, -60, -54, -20, -2, 26, -72, 26, 56, -116, -16, 32, 40, 16, 80, -16, 141, -34, -30, -68, 1837, -94, 28, -16, 103, 36, -18, 40, 50, -132, -48, 0, 102, 72, -16, 44, -18, -1, -92, 200, 33, -104, -42, 78, 112, -52, -26, 192, 128, 1721, 82, -100, 100, -14, -8, -48, 190, -98, 14, 88, 60, 40, -64, 96, 22, 70, -191, 3, -122, -270, -30, -72, 136, 28, -76, 108, 24, 8, 32, 20, 1605, -74, -116, 112, 100, -14, -76, 80, -132, -92, -312, -26, -116, -174, 14, 48, -78, 80, 146, 132, 152, -110, -20, 8, 160, 86, -80, -12, -7, -56, -16, 256, -23, 1661, -164, -10, -238, -38, 133, -8, -146, -12, -3, 72, 59, -80, 32, -70, 204, -236, 18, 108, -160, 88, -264, -32, -162, 54, -98, -16, 24, 42, -114, 0, 110, 76, 152, -136, 1733, 70, 60, -38, -102, -80, 64, -60, 116, -14, -48, 160, -16, -98, 91, -66, 4, 88, -4, -120, -28, -64, 54, -60, -162, 106, 216, 10, 420, -162, -36, 26, 50, 80, 52, 40, 86, 1755, 366, -17, 192, 44, 30, 104, 184, 14, -140, 48, 152, 186, 312, -108, 16, -180, 0, 84, 216, 24, 200, -8, 153, -96, -166, 4, -294, 130, -204, 40, 505, -100, 166, 208, 52, 90, 80, 32, 2083, -90, 164, -16, 254, -6, 0, 312, -142, -2, 452, 22, 144, 128, -40, 104, -50, -36, 160, 372, -40, -14, 180, 0, 174, -222, 21, 48, 284, 56, 456, -56, 29, -74, 168, 44, -50, 32, 26, 96, 496, 1783, 44, -84, 142, 252, -240, -1, 144, -42, 75, 56, 138, 176, -20, 8, 244, -162, -106, -2, 256, -22, 128, -176, -226, 16, -246, -116, 70, 32, -72, 42, 76, -48, 104, 76, -320, -14, 88, 80, -90, 36, 370, -40, 1857, 20, 5, -136, 30, 20, 222, 68, -110, -84, 360, -56, 376, -8, -188, 124, -508, -64, 116, 24, 56, -428, 272, 85, 424, 42, 292, 24, 161, 44, 242, -8, 84, 32, 112, -30, -396, 6, 78, 84, 308, 32, 88, 200, 4, 1599, 4, 20, 144, -76, -22, 16, -428, -116, 286, -204, -18, 98, -152, 194, -62, -284, 120, 92, -78, 26, 204, 128, -200, -48, -82, -20, -52, -86, 88, -72, 256, -200, -222, -228, 288, -284, 260, 0, -15, 14, 24, 188, -120, 48, 464, -232, 1709, -210, -161, -10, -228, -392, 74, -72, -182, -20, -130, 140, 29, 224, -40, -78, 334, -242, -20, -80, -7, -32, 56, 192, 87, -178, 96, 4, 328, -6, -186, -160, 116, -112, -20, 200, 106, 114, -164, -76, -320, -314, 104, -84, -584, 8, 8, -72, -122, 1235, -206, -112, 102, -108, 48, -16, 272, -28, 46, -392, 78, -30, -88, -1, 214, 46, -20, -196, -128, -112, -336, 144, -15, -184, -110, 80, -364, 90, 262, 80, -198, -26, 232, 116, -56, -142, 12, 4, 260, -352, 6, 40, -464, 184, 160, 328, -104, -346, -206, 13, 1923, -46, 122, -88, -196, -84, -208, 156, 108, -76, -512, 242, -28, -68, 272, -44, 70, -80, -124, -112, 78, -164, -338, 118, -48, -38, -18, -120, 836, -240, 330, -240, -316, 106, -18, 72, -430, -328, -80, 232, -452, -152, -16, -144, 110, -80, -119, 22, 14, 38, 265, 200, -488, 1727, -436, -376, 230, -62, -128, -158, -208, -216, -110, 20, -380, -24, 40, -48, -152, -6, -90, 20, 424, -544, 28, 216, 232, -12, 140, 248, 48, -118, 388, 0, 672, 38, 64, -136, 168, -60, 520, -200, 541, 126, 96, -18, -6, -14, -76, 128, -422, 0, 102, 240, 260, -12, 840, -6, 2349, -252, -140, -84, -258, -8, 328, -376, 36, -100, -74, 124, -88, 394, 432, 24, 215, -10, 490, -488, 284, 0, -8, -166, -138, 230, -2, 300, 608, -72, 320, -128, 522, -312, -222, 88, 284, 58, -78, 520, 72, -68, -144, -124, 40, 298, -176, -14, 94, -570, 228, -232, 32, 24, 172, -40, 16, 1649, 374, -242, 404, -162, 24, -8, -226, -20, 254, 128, -7, 18, 176, 56, 244, 14, 168, -172, 152, -40, -64, -24, 81, -188, -670, -23, -200, -216, 164, -136, 542, -26, 448, 704, 210, 338, 280, 242, 104, -266, 85, -52, -20, -24, -260, 224, 206, -144, -132, 12, 792, 224, -3, -128, 24, -24, 130, -80, 1803, -60, -200, 160, -14, -268, -24, 396, -124, -62, -96, 48, 52, -296, 786, 340, -122, 312, -54, -200, 272, -28, 158, -14, 16, -650, -472, 8, 694, -74, 64, -124, -638, 24, 252, -72, 110, 102, 64, -66, -296, -214, -170, -40, 108, -48, 248, -292, 328, -76, 436, -38, 200, -274, 78, -16, 984, -88, 176, -760, -34, 1879, -116, 20, 386, -84, 48, 336, -3, 56, 244, -60, 5, -40, 632, 54, -106, -66, -68, -16, -402, 18, 260, -216, -118, -148, -380, 88, 360, -152, 224, 88, 696, 12, -24, -696, 108, -254, 948, 82, 404], 'weight': 2, 'weight_parity': 1}
-
source_label 31737.2.a.a does not appear in mf_twists_nf
-
hecke_orbit_code 33586169 does not appear in mf_hecke_charpolys
-
label 31737.2.a.a does not appear in mf_newform_portraits
-
mf_hecke_traces • Show schema
Hide schema
-
id: 117461542
{'hecke_orbit_code': 33586169, 'n': 1, 'trace_an': 1}
-
id: 117461543
{'hecke_orbit_code': 33586169, 'n': 2, 'trace_an': -2}
-
id: 117461544
{'hecke_orbit_code': 33586169, 'n': 3, 'trace_an': -1}
-
id: 117461545
{'hecke_orbit_code': 33586169, 'n': 4, 'trace_an': 2}
-
id: 117461546
{'hecke_orbit_code': 33586169, 'n': 5, 'trace_an': -2}
-
id: 117461547
{'hecke_orbit_code': 33586169, 'n': 6, 'trace_an': 2}
-
id: 117461548
{'hecke_orbit_code': 33586169, 'n': 7, 'trace_an': -4}
-
id: 117461549
{'hecke_orbit_code': 33586169, 'n': 8, 'trace_an': 0}
-
id: 117461550
{'hecke_orbit_code': 33586169, 'n': 9, 'trace_an': 1}
-
id: 117461551
{'hecke_orbit_code': 33586169, 'n': 10, 'trace_an': 4}
-
id: 117461552
{'hecke_orbit_code': 33586169, 'n': 11, 'trace_an': -5}
-
id: 117461553
{'hecke_orbit_code': 33586169, 'n': 12, 'trace_an': -2}
-
id: 117461554
{'hecke_orbit_code': 33586169, 'n': 13, 'trace_an': -6}
-
id: 117461555
{'hecke_orbit_code': 33586169, 'n': 14, 'trace_an': 8}
-
id: 117461556
{'hecke_orbit_code': 33586169, 'n': 15, 'trace_an': 2}
-
id: 117461557
{'hecke_orbit_code': 33586169, 'n': 16, 'trace_an': -4}
-
id: 117461558
{'hecke_orbit_code': 33586169, 'n': 17, 'trace_an': -2}
-
id: 117461559
{'hecke_orbit_code': 33586169, 'n': 18, 'trace_an': -2}
-
id: 117461560
{'hecke_orbit_code': 33586169, 'n': 19, 'trace_an': -4}
-
id: 117461561
{'hecke_orbit_code': 33586169, 'n': 20, 'trace_an': -4}
-
id: 117461562
{'hecke_orbit_code': 33586169, 'n': 21, 'trace_an': 4}
-
id: 117461563
{'hecke_orbit_code': 33586169, 'n': 22, 'trace_an': 10}
-
id: 117461564
{'hecke_orbit_code': 33586169, 'n': 23, 'trace_an': -9}
-
id: 117461565
{'hecke_orbit_code': 33586169, 'n': 24, 'trace_an': 0}
-
id: 117461566
{'hecke_orbit_code': 33586169, 'n': 25, 'trace_an': -1}
-
id: 117461567
{'hecke_orbit_code': 33586169, 'n': 26, 'trace_an': 12}
-
id: 117461568
{'hecke_orbit_code': 33586169, 'n': 27, 'trace_an': -1}
-
id: 117461569
{'hecke_orbit_code': 33586169, 'n': 28, 'trace_an': -8}
-
id: 117461570
{'hecke_orbit_code': 33586169, 'n': 29, 'trace_an': -9}
-
id: 117461571
{'hecke_orbit_code': 33586169, 'n': 30, 'trace_an': -4}
-
id: 117461572
{'hecke_orbit_code': 33586169, 'n': 31, 'trace_an': 2}
-
id: 117461573
{'hecke_orbit_code': 33586169, 'n': 32, 'trace_an': 8}
-
id: 117461574
{'hecke_orbit_code': 33586169, 'n': 33, 'trace_an': 5}
-
id: 117461575
{'hecke_orbit_code': 33586169, 'n': 34, 'trace_an': 4}
-
id: 117461576
{'hecke_orbit_code': 33586169, 'n': 35, 'trace_an': 8}
-
id: 117461577
{'hecke_orbit_code': 33586169, 'n': 36, 'trace_an': 2}
-
id: 117461578
{'hecke_orbit_code': 33586169, 'n': 37, 'trace_an': -7}
-
id: 117461579
{'hecke_orbit_code': 33586169, 'n': 38, 'trace_an': 8}
-
id: 117461580
{'hecke_orbit_code': 33586169, 'n': 39, 'trace_an': 6}
-
id: 117461581
{'hecke_orbit_code': 33586169, 'n': 40, 'trace_an': 0}
-
id: 117461582
{'hecke_orbit_code': 33586169, 'n': 41, 'trace_an': 9}
-
id: 117461583
{'hecke_orbit_code': 33586169, 'n': 42, 'trace_an': -8}
-
id: 117461584
{'hecke_orbit_code': 33586169, 'n': 43, 'trace_an': 4}
-
id: 117461585
{'hecke_orbit_code': 33586169, 'n': 44, 'trace_an': -10}
-
id: 117461586
{'hecke_orbit_code': 33586169, 'n': 45, 'trace_an': -2}
-
id: 117461587
{'hecke_orbit_code': 33586169, 'n': 46, 'trace_an': 18}
-
id: 117461588
{'hecke_orbit_code': 33586169, 'n': 47, 'trace_an': -12}
-
id: 117461589
{'hecke_orbit_code': 33586169, 'n': 48, 'trace_an': 4}
-
id: 117461590
{'hecke_orbit_code': 33586169, 'n': 49, 'trace_an': 9}
-
id: 117461591
{'hecke_orbit_code': 33586169, 'n': 50, 'trace_an': 2}
-
id: 117461592
{'hecke_orbit_code': 33586169, 'n': 51, 'trace_an': 2}
-
id: 117461593
{'hecke_orbit_code': 33586169, 'n': 52, 'trace_an': -12}
-
id: 117461594
{'hecke_orbit_code': 33586169, 'n': 53, 'trace_an': -6}
-
id: 117461595
{'hecke_orbit_code': 33586169, 'n': 54, 'trace_an': 2}
-
id: 117461596
{'hecke_orbit_code': 33586169, 'n': 55, 'trace_an': 10}
-
id: 117461597
{'hecke_orbit_code': 33586169, 'n': 56, 'trace_an': 0}
-
id: 117461598
{'hecke_orbit_code': 33586169, 'n': 57, 'trace_an': 4}
-
id: 117461599
{'hecke_orbit_code': 33586169, 'n': 58, 'trace_an': 18}
-
id: 117461600
{'hecke_orbit_code': 33586169, 'n': 59, 'trace_an': -9}
-
id: 117461601
{'hecke_orbit_code': 33586169, 'n': 60, 'trace_an': 4}
-
id: 117461602
{'hecke_orbit_code': 33586169, 'n': 61, 'trace_an': -8}
-
id: 117461603
{'hecke_orbit_code': 33586169, 'n': 62, 'trace_an': -4}
-
id: 117461604
{'hecke_orbit_code': 33586169, 'n': 63, 'trace_an': -4}
-
id: 117461605
{'hecke_orbit_code': 33586169, 'n': 64, 'trace_an': -8}
-
id: 117461606
{'hecke_orbit_code': 33586169, 'n': 65, 'trace_an': 12}
-
id: 117461607
{'hecke_orbit_code': 33586169, 'n': 66, 'trace_an': -10}
-
id: 117461608
{'hecke_orbit_code': 33586169, 'n': 67, 'trace_an': -2}
-
id: 117461609
{'hecke_orbit_code': 33586169, 'n': 68, 'trace_an': -4}
-
id: 117461610
{'hecke_orbit_code': 33586169, 'n': 69, 'trace_an': 9}
-
id: 117461611
{'hecke_orbit_code': 33586169, 'n': 70, 'trace_an': -16}
-
id: 117461612
{'hecke_orbit_code': 33586169, 'n': 71, 'trace_an': -1}
-
id: 117461613
{'hecke_orbit_code': 33586169, 'n': 72, 'trace_an': 0}
-
id: 117461614
{'hecke_orbit_code': 33586169, 'n': 73, 'trace_an': -7}
-
id: 117461615
{'hecke_orbit_code': 33586169, 'n': 74, 'trace_an': 14}
-
id: 117461616
{'hecke_orbit_code': 33586169, 'n': 75, 'trace_an': 1}
-
id: 117461617
{'hecke_orbit_code': 33586169, 'n': 76, 'trace_an': -8}
-
id: 117461618
{'hecke_orbit_code': 33586169, 'n': 77, 'trace_an': 20}
-
id: 117461619
{'hecke_orbit_code': 33586169, 'n': 78, 'trace_an': -12}
-
id: 117461620
{'hecke_orbit_code': 33586169, 'n': 79, 'trace_an': -4}
-
id: 117461621
{'hecke_orbit_code': 33586169, 'n': 80, 'trace_an': 8}
-
id: 117461622
{'hecke_orbit_code': 33586169, 'n': 81, 'trace_an': 1}
-
id: 117461623
{'hecke_orbit_code': 33586169, 'n': 82, 'trace_an': -18}
-
id: 117461624
{'hecke_orbit_code': 33586169, 'n': 83, 'trace_an': -14}
-
id: 117461625
{'hecke_orbit_code': 33586169, 'n': 84, 'trace_an': 8}
-
id: 117461626
{'hecke_orbit_code': 33586169, 'n': 85, 'trace_an': 4}
-
id: 117461627
{'hecke_orbit_code': 33586169, 'n': 86, 'trace_an': -8}
-
id: 117461628
{'hecke_orbit_code': 33586169, 'n': 87, 'trace_an': 9}
-
id: 117461629
{'hecke_orbit_code': 33586169, 'n': 88, 'trace_an': 0}
-
id: 117461630
{'hecke_orbit_code': 33586169, 'n': 89, 'trace_an': 4}
-
id: 117461631
{'hecke_orbit_code': 33586169, 'n': 90, 'trace_an': 4}
-
id: 117461632
{'hecke_orbit_code': 33586169, 'n': 91, 'trace_an': 24}
-
id: 117461633
{'hecke_orbit_code': 33586169, 'n': 92, 'trace_an': -18}
-
id: 117461634
{'hecke_orbit_code': 33586169, 'n': 93, 'trace_an': -2}
-
id: 117461635
{'hecke_orbit_code': 33586169, 'n': 94, 'trace_an': 24}
-
id: 117461636
{'hecke_orbit_code': 33586169, 'n': 95, 'trace_an': 8}
-
id: 117461637
{'hecke_orbit_code': 33586169, 'n': 96, 'trace_an': -8}
-
id: 117461638
{'hecke_orbit_code': 33586169, 'n': 97, 'trace_an': -13}
-
id: 117461639
{'hecke_orbit_code': 33586169, 'n': 98, 'trace_an': -18}
-
id: 117461640
{'hecke_orbit_code': 33586169, 'n': 99, 'trace_an': -5}
-
id: 117461641
{'hecke_orbit_code': 33586169, 'n': 100, 'trace_an': -2}