Formats: - HTML - YAML - JSON - 2026-09-11T19:59:36.723180
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 284, 'analytic_conductor': 0.5669378543510907, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[71, -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': [71, 1, [7], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 257, 'field_disc_factorization': [[257, 1]], 'field_poly': [3, -4, -1, 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, [-3, -4, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554503, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13308, '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': '71.2.a.a', 'level': 71, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [71], 'level_radical': 71, 'minimal_twist': '71.2.a.a', 'nf_label': '3.3.257.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{1}q^{3}+(1+\\beta _{2})q^{4}+(2-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '71.2.a', 'trace_display': [-1, 1, 5, 2], 'trace_hash': 325099449762415536, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.922', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.592', 'prec': 10}, {'__RealLiteral__': 0, 'data': '23.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.760', 'prec': 14}, {'__RealLiteral__': 0, 'data': '286.051', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 4}, 'traces': [3, -1, 1, 3, 5, -9, 2, 0, 0, 8, 0, 2, -6, -18, -8, -5, -2, -1, 1, -6, 18, -2, -12, -1, 14, 4, -2, 4, 11, -4, 12, -6, 2, 16, -16, 10, -15, 16, -4, 11, -2, -8, 13, 20, -11, 4, 4, 6, 15, 6, -16, -26, -18, 17, -22, -2, -16, 7, -4, -27, 16, -4, 2, -16, 12, -20, -12, 16, -4, -8, 3, -10, 27, 6, -6, 9, 4, 38, -3, -7, -17, -34, -19, 38, -6, -12, -7, -20, 1, 19, -8, -12, 4, 14, 10, 26, 22, -9, 20, -7, 9, -12, -7, 20, 8, 10, 28, 6, -1, 38, -6, 12, -8, -11, -20, -10, -20, -18, -32, 19, 7, -40, 34, 12, 30, -20, 10, 29, 12, -54, 9, 24, -32, 6, 5, -18, 8, 36, 8, -54, -14, -1, -40, -9, 50, 16, 9, -25, -4, -21, 47, -8, 18, -40, 20, -28, -23, 28, -10, -61, -8, 1, -42, 2, -38, -12, 9, -20, 13, 46, 8, 4, -22, -12, -12, -18, 18, -7, -1, 7, -6, 76, 40, 0, -14, -36, 36, 22, -34, 35, 15, -17, 12, 10, 54, 55, -20, -22, 37, 21, -6, -2, -14, -14, -42, -37, 0, 28, 16, 86, -38, -58, 1, -44, 23, -8, 8, 11, -16, 14, -32, 55, -5, 52, -21, 18, 0, -24, 11, -32, 40, 21, 7, 24, 4, 18, -28, -24, 4, 39, 36, -33, 5, 20, -19, 2, -18, 0, 12, -34, 37, 24, 0, -40, -46, 5, -38, -30, -12, -2, -21, 16, 39, -22, 14, -22, 7, -32, -34, 27, -15, -30, -76, 28, -42, -8, -7, -16, 0, 38, -10, -30, -6, 3, -35, 48, 68, 23, 17, -2, -10, 34, -54, -85, -48, 10, 16, -12, 24, -33, 24, -7, 2, -26, -12, -2, 22, 48, 37, 32, 3, 24, 13, -7, -38, -16, -16, 94, -42, 16, 44, 72, 48, -56, 14, 10, -11, -4, -28, 30, 4, -7, -10, 24, 2, -48, -8, -43, -18, 68, 0, 8, 4, 9, 32, 42, -16, -35, 36, -42, -12, 46, 20, -10, 5, -18, 24, 4, 5, -18, -16, 50, 33, -56, 63, -52, 53, 20, 4, -59, -20, 8, 3, -4, 34, -18, 20, -4, -65, 55, 40, -23, -34, 27, -76, -10, -9, 20, 18, -22, 8, -40, -16, 26, 35, 2, 0, 4, 22, -13, 6, 56, -24, -1, 6, -24, -20, -2, 39, -32, -28, -42, 36, 4, -62, -34, 16, 16, -41, -22, -6, 24, 18, 40, -30, -9, 80, 32, -48, 9, 47, -21, 14, -72, 2, -22, -4, -88, -8, -36, 40, -28, -30, -22, 14, -92, 12, -34, -68, 27, 8, 10, 7, -42, 108, 8, 80, -56, 50, 24, -20, -56, -21, -8, -32, 62, 18, -22, -12, 62, 7, -22, -18, 22, 5, -28, -40, 24, -72, -2, 50, 40, -72, -29, 56, 39, 2, -4, -10, 116, 30, 72, -28, -48, 36, -20, 2, 45, 9, 13, -24, 0, -27, -22, 26, 8, 43, 34, -14, -56, -32, -3, 40, -18, -16, 15, 36, 110, -42, 14, -25, 28, -80, 76, 42, -44, -8, -6, -21, -124, 22, -48, -4, 16, 8, 20, -4, -12, 80, 61, 38, 39, -50, -6, 30, 72, -95, 44, 4, 54, 4, 4, -56, 38, 59, -30, 79, -4, -8, 78, 4, -16, -18, -10, -16, 54, -2, 0, -3, -75, 7, -44, 23, 4, -56, -31, 3, 37, 10, -11, 24, -64, -80, -7, -14, 22, 47, 58, 4, 14, -26, 34, -7, 18, -92, -42, -4, -16, 8, 27, 36, -60, -20, 46, 17, -17, -100, -35, 24, 16, -44, -22, -13, 10, 32, -44, -61, 56, -20, -24, 8, -44, 14, -6, -27, -38, -16, 38, -8, 30, -58, 13, -24, -18, -44, -60, -110, 56, 0, 29, -61, -88, -8, -16, -9, 38, 96, 39, 44, -66, 72, -2, 118, 24, -33, 34, 7, -60, -21, -40, 18, 78, 28, -12, -70, 16, -44, -4, 92, -70, 8, 10, 14, 124, -9, 57, -35, 6, -20, -74, 42, -8, 0, -13, 8, -44, 56, -5, 116, 16, 48, -26, 44, 44, 38, 28, -60, -70, -62, -66, -60, -52, -13, -62, -62, -34, 4, 58, 10, 8, -13, 19, -48, 92, -28, 48, -24, -48, -7, -15, 74, 65, -40, 28, 104, 15, 76, 48, 12, 111, -42, 84, 12, 48, -116, 24, -40, -38, -44, 23, 48, 188, 52, -4, 18, 24, 12, -44, 88, -73, -18, -40, 0, -70, 88, -52, -28, 65, -8, -45, -4, -54, -22, -62, 74, 50, -36, -55, 84, 60, 18, 72, 60, -3, 56, 2, -110, -46, -66, 94, 0, -64, -7, -61, -114, -94, 43, -42, 44, -7, -36, 18, -40, 6, 124, 45, 31, 112, 64, -102, -19, -54, 14, -32, 64, 16, 12, 10, 86, -128, 11, -70, -39, 32, -114, 42, -20, -137, -48, -96, -73, -60, 26, 35, -54, -20, 112, -40, -21, -45, -38, 94, 62, 14, 55, -26, -8, 61, 21, 30, 6, -40, 16, 20, -61, -4, 66, 66, -54, 96, 60, 2, -25, -104, 45, -4, -21, 124, -44, -58, -4, -136, -56, -29, 2, 72, -37, 16, -26, -89, 64, 21, -2, -64, 68, -25, -103, 8, -22, -30, -15, -49, 30, 12, -14, -44, -48, 16, 80, -42, -78, 75, 50, 50, -47, 54, 16, -16, 44, 36, -60, -76, 60, -18, 4, -140, 24, -94, -10, -44, 12, 51, 24, -40, -16, 106, -32, 22, 12, -44, -10, 84, -6, 124, -49, -44, -35, -96, 5, -16, 37, 49, 44, 86, 148, 2, 18, 112, 38, 56, 89, 8, 8, 4, -54, -6, -111, -69, -68, 75, 18, -4, 59, 50, 84, -78, -56, 24, -56, 93, -45, -44, 4, 30, -46, 32, 20, 36, -38, 72, -8, -59, 32, 32, 66, 4, -51, 86, -38, -2, -21, 42, 67, -38, 8, 80, 60, 8, -52, 2, -14, -24, -78, -18, 70, 36, 67, 27, 2, 17], 'weight': 2, 'weight_parity': 1}