Formats: - HTML - YAML - JSON - 2026-08-25T19:43:53.936785
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 3564, 'analytic_conductor': 7.114670820096082, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 99, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 15, 'char_parity': 1, 'char_values': [891, 15, [650, 244], [10, 3]], 'cm_discs': [], 'conrey_index': 136, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 2, 0, 2, 9, 8, 5, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 893386752891, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 90889, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 99, 13, 1, 15, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '891.2.n.a', 'level': 891, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '33.2.e.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 13, 'qexp_display': 'q+(\\zeta_{15}^{2}+\\zeta_{15}^{5})q^{2}+(-1+\\zeta_{15}^{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c15', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '891.2.n', 'trace_display': [-3, 0, -1, 3], 'trace_hash': 1665591965757598951, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.052', 'prec': 7}, {'__RealLiteral__': 0, 'data': '7.767', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '301.111', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '28174.861', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, 'traces': [8, -3, 0, -3, -1, 0, 3, 10, 0, 4, 9, 0, 9, 6, 0, -9, -4, 0, -20, 3, 0, 8, -4, 0, 6, -16, 0, -12, -10, 0, -8, -18, 0, 4, 6, 0, -6, 0, 0, -10, 23, 0, -16, 4, 0, 26, -3, 0, 2, 12, 0, -7, -12, 0, 28, 0, 0, 0, -20, 0, -3, 2, 0, -14, -14, 0, -2, -1, 0, 9, 54, 0, 12, -4, 0, 20, -3, 0, -5, -18, 0, -22, 21, 0, -7, -7, 0, 25, -40, 0, 6, 7, 0, -1, 25, 0, 33, -8, 0, -24, 3, 0, -6, 25, 0, 17, -14, 0, 0, 2, 0, -27, -9, 0, 9, 0, 0, 10, 6, 0, 1, -6, 0, -6, 22, 0, -36, -10, 0, -8, -42, 0, -30, 48, 0, -10, 7, 0, -5, -21, 0, -54, 8, 0, -20, -2, 0, -4, -15, 0, 2, -10, 0, 72, -12, 0, -12, 10, 0, -7, 54, 0, 72, 46, 0, 42, 37, 0, -32, -2, 0, 34, -14, 0, 18, 24, 0, 25, -10, 0, 6, -51, 0, 5, -3, 0, 3, 12, 0, -30, 13, 0, 14, 1, 0, 4, -204, 0, -80, -15, 0, 6, 30, 0, 52, 24, 0, -108, -40, 0, 32, -28, 0, -1, 18, 0, -42, 0, 0, -28, -2, 0, 9, -42, 0, 66, 47, 0, 10, 18, 0, -40, -2, 0, 14, -5, 0, -3, -15, 0, 12, 6, 0, -18, 8, 0, -15, -10, 0, -12, 64, 0, -38, 36, 0, -19, 2, 0, -21, 26, 0, 78, -34, 0, -56, 0, 0, 21, 60, 0, 96, -3, 0, 14, -36, 0, -2, -10, 0, -30, 8, 0, 14, -9, 0, 17, 72, 0, 26, -10, 0, -2, 11, 0, 20, -40, 0, 60, 59, 0, 27, -6, 0, 15, -66, 0, -76, 9, 0, 1, 3, 0, -61, 48, 0, 50, -53, 0, -10, -2, 0, 6, 30, 0, 102, 3, 0, -5, 6, 0, -8, -24, 0, -18, 22, 0, 8, 16, 0, -14, -56, 0, 30, -25, 0, 52, -8, 0, -35, -72, 0, -76, -24, 0, 27, 5, 0, 5, -20, 0, 78, -6, 0, -6, 6, 0, 18, 78, 0, 2, 33, 0, -36, -9, 0, 0, 60, 0, -90, 15, 0, 6, 31, 0, 48, -56, 0, -62, -45, 0, 2, -10, 0, 79, 100, 0, -256, 15, 0, -9, 8, 0, 23, 18, 0, -120, 7, 0, -40, 29, 0, -12, -90, 0, 12, 28, 0, -25, -10, 0, -58, 22, 0, -80, -3, 0, -9, 14, 0, -18, 44, 0, 12, 27, 0, 0, -30, 0, -40, 10, 0, 18, 66, 0, -5, 33, 0, -9, -20, 0, 206, -18, 0, 14, 18, 0, 48, -40, 0, 14, -62, 0, 14, -30, 0, -33, -34, 0, 132, -4, 0, -70, 31, 0, 0, -24, 0, 90, 10, 0, 17, -36, 0, 42, -124, 0, -6, -30, 0, -4, -57, 0, 0, 60, 0, 96, -81, 0, -30, -12, 0, -9, 128, 0, 36, 8, 0, 6, -25, 0, 12, 6, 0, -78, 6, 0, 13, -42, 0, -20, -96, 0, -128, -24, 0, -8, 14, 0, 8, 34, 0, 90, -73, 0, 18, 20, 0, -60, 44, 0, 26, -21, 0, 9, 0, 0, 23, 12, 0, 114, 60, 0, 45, 41, 0, 5, 16, 0, -22, -18, 0, 16, -49, 0, -6, -116, 0, 0, 60, 0, -18, 37, 0, 33, -12, 0, -36, 49, 0, 30, 63, 0, 44, 40, 0, 36, 77, 0, -5, -25, 0, 33, 28, 0, -48, -30, 0, 28, 30, 0, 67, -48, 0, -8, 64, 0, -12, 55, 0, -9, -16, 0, -108, 51, 0, 15, 132, 0, 5, 38, 0, -62, 15, 0, 56, -122, 0, -24, 8, 0, -134, 15, 0, -6, -18, 0, -32, 40, 0, -20, -62, 0, -6, 6, 0, -10, -24, 0, 30, -102, 0, -42, -69, 0, -3, -36, 0, 6, 20, 0, 62, 49, 0, -15, 60, 0, -20, 19, 0, 44, -42, 0, -31, 28, 0, -32, -28, 0, -96, -5, 0, -9, 168, 0, 64, -30, 0, -21, -1, 0, -48, 56, 0, 32, 5, 0, -29, -75, 0, -9, -96, 0, 20, -12, 0, -8, 9, 0, -20, -18, 0, -30, -28, 0, 29, 10, 0, 30, 30, 0, 36, -3, 0, -26, 60, 0, -142, -150, 0, 16, 8, 0, -46, -9, 0, 2, -54, 0, 50, -1, 0, -69, 1, 0, -60, 114, 0, -32, -24, 0, 52, -3, 0, -70, -16, 0, 54, 90, 0, 70, -27, 0, 0, -12, 0, 36, -50, 0, 70, 6, 0, -17, -162, 0, -54, 35, 0, -15, -35, 0, 72, -8, 0, -24, -18, 0, -32, 74, 0, -10, 144, 0, 84, 81, 0, 45, -18, 0, 4, -54, 0, -32, -4, 0, 27, -19, 0, 15, 70, 0, 46, 0, 0, 34, -84, 0, 60, 80, 0, -58, -57, 0, -21, 0, 0, 90, -24, 0, -110, -12, 0, -17, -6, 0, 38, 70, 0, 100, 45, 0, -9, 24, 0, 54, -64, 0, 24, 36, 0, -6, 13, 0, 19, -54, 0, -10, 12, 0, -100, 17, 0, 41, -92, 0, 122, -12, 0, 42, 60, 0, 117, 0, 0, -40, -3, 0, 23, -45, 0, -39, -156, 0, 12, 6, 0, -18, -3, 0, 54, 20, 0, -36, 5, 0, 10, -45, 0, 40, 20, 0, -44, -96, 0, 45, -72, 0, 33, -28, 0, -42, -47, 0, -81, 96, 0, -30, -18, 0, 210, 30, 0, -34, 162, 0, -42, 34, 0, 100, -25, 0, 20, 67, 0, 34, -54, 0, -126, 3, 0, -4, -82, 0, -47, 60, 0, -64, 42, 0, -14, 15, 0, 0, 48, 0, 26, -30, 0, 20, 21, 0, -27, -138, 0, -108, -79, 0, 18, -55, 0, -1, 164, 0, -60, -109, 0, 27, 77, 0, -55, -32, 0, -2, 66, 0, 23, 10, 0, 5, -48, 0, 36, -31, 0, -27, 25, 0, -42, 30, 0, 40], 'weight': 2, 'weight_parity': 1}