Formats: - HTML - YAML - JSON - 2026-05-01T00:30:15.125240
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 1860, 'analytic_conductor': 3.7130436939895377, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [31, -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': [465, 1, [311, 187, 406], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295889, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 57504, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '465.2.a.c', 'level': 465, '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, 5, 31], 'level_radical': 465, 'minimal_twist': '465.2.a.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{2}+q^{3}+(1-2\\beta )q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '465.2.a', 'trace_display': [-2, 2, -2, -4], 'trace_hash': 211328333295309965, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.782', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.449', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, 'traces': [2, -2, 2, 2, -2, -2, -4, -6, 2, 2, 0, 2, -8, 0, -2, 6, -8, -2, 0, -2, -4, 8, -12, -6, 2, 4, 2, 4, -4, 2, 2, 6, 0, 8, 4, 2, 0, -8, -8, 6, 4, 0, 0, -16, -2, 12, -4, 6, -2, -2, -8, 0, -8, -2, 0, 8, 0, -8, 8, -2, -4, -2, -4, -14, 8, 8, -12, -8, -12, 0, 0, -6, 8, 4, 2, 16, -8, 4, -12, -6, 2, 4, -12, 4, 8, 32, -4, 8, -4, 2, 20, -12, 2, 12, 0, 6, 20, 18, 0, 2, -4, 8, 4, 20, 4, 8, -12, 2, 16, -8, 0, -12, 12, -8, 12, 20, -8, 4, 16, 6, -6, 28, 4, 2, -2, 0, -16, 10, 0, -4, -8, -16, 8, -16, -2, 24, 0, 12, 8, -4, -4, -28, -8, 6, 4, 20, -2, -8, -4, -2, -28, -8, -8, -8, -2, 0, 36, 36, -8, -6, 24, -2, 12, -12, 0, -4, 16, 8, 10, -8, 0, -64, -28, -8, -4, 0, 8, -16, 24, -2, -4, 4, -4, 36, 0, -2, 0, -20, -4, 8, 24, -14, 4, -36, 8, -34, -16, 8, 4, -6, -12, 12, 20, -8, -4, 8, -12, -24, -16, 0, -24, -8, 0, 4, 0, -6, -4, -48, 8, 16, 32, 4, -40, -16, 2, -44, -20, 16, 20, -12, -8, 0, -8, 4, 4, -16, -12, 0, -40, -6, -12, 6, 2, -52, 2, 4, 8, -6, -12, 2, 16, 4, 0, -8, 8, -26, 32, 32, -4, 0, -4, -28, 8, 8, 8, 8, -4, 44, -12, 2, 0, -24, 20, -8, 0, -12, 32, 8, 2, -8, 4, 12, 20, 56, 0, -24, -16, 6, -2, 8, 20, -48, -40, 18, -8, 4, 0, 28, 48, 2, -32, 20, -4, 0, 4, 8, -28, 24, 4, 2, -40, 20, 0, -36, 4, -60, 32, 8, -24, 14, -12, 0, 0, 2, -8, -24, 16, -4, 0, -8, -28, 20, 0, 32, 12, -12, 48, 22, 12, 8, 0, -8, 16, 32, 12, 28, -24, 20, 40, 0, -8, 8, 8, 4, 0, 36, 16, -56, 8, 6, -22, 60, -6, -28, -8, 28, -32, -36, 4, -4, 16, 2, -12, -32, -2, 20, 28, 0, -48, -16, -16, 12, -4, 10, 8, -20, 0, 52, 28, -4, 48, 22, -8, -40, 12, -16, 68, -44, 8, 6, 4, -16, -8, -20, -2, 12, 8, 24, 20, -4, 0, -20, -28, 12, 12, -28, 8, 16, 40, -4, 40, 16, -4, 24, -8, -28, -16, 4, -8, -32, -64, 6, 16, 0, 4, 80, 0, 20, 0, -8, -2, -16, -12, -8, 4, 48, -4, 20, 4, -2, 16, 76, -28, 4, -20, -8, 56, -68, -8, 12, 36, -8, -48, -12, -2, -16, -20, 0, 52, -12, 36, -12, 64, 36, 0, -16, -8, 24, -16, -6, -4, -36, 24, -6, -20, -2, 0, 36, 12, -18, -48, -12, 16, 24, 0, 6, 28, -4, 8, -2, 16, -32, -68, 8, 4, -48, 10, 32, 4, -8, -44, 54, 0, -56, -4, -64, 16, -4, -28, -20, -4, -8, -8, 64, -4, -24, -8, 0, 26, -8, 8, -24, -24, -16, 12, 8, 24, 32, 32, -2, -8, 32, -4, -24, -16, 4, -60, 16, -4, 8, 24, 36, 0, -52, 0, -24, -56, -2, -32, 12, 0, 68, -4, -20, -12, -56, -4, -28, 12, 8, -8, 56, 24, -8, -12, -14, 12, 2, 4, -20, 40, -36, 0, 4, 8, 32, 32, -34, 0, -4, -16, 0, -28, 8, -16, -52, 4, -24, -24, -6, -20, -32, -12, -12, 6, 12, 68, -8, 20, -28, 8, -8, 40, 48, -4, 8, 28, 8, 44, -2, -12, 52, 28, -24, 2, 36, -16, 36, 0, 0, 16, 60, -24, -24, 16, -8, -8, 8, 0, -10, -12, 4, 0, -24, 0, 32, -72, -6, 24, 4, -4, 36, 0, -48, 8, 12, 8, -8, 0, 16, -28, 52, 32, 20, -8, 4, 24, -80, -40, 16, 48, -16, -40, -44, 2, -54, -40, -44, -24, -24, -20, 8, -28, 16, 0, -16, 20, 0, 32, -12, 16, -28, -8, 24, -8, 0, -16, -40, -8, 4, -12, 4, -8, 16, 4, 40, 0, -16, 12, 28, -12, -8, -12, 0, 8, 88, -40, 60, 48, -6, -20, 22, -12, -116, -4, 6, -12, -36, 2, -20, 0, -52, 28, 80, 2, -36, -56, 4, 12, 8, 8, 0, -24, -6, 4, 68, -12, 64, 32, 2, -64, -12, 16, 28, 28, 4, -8, 56, 0, 8, -20, -8, 0, -48, 8, -28, -44, -26, 8, 8, 32, 36, 32, 32, 2, -76, -4, -48, -16, 0, -56, -48, -4, -6, -36, -28, 24, 96, 8, -36, 8, 8, -8, -68, 8, 84, -8, 8, 16, 6, -4, -16, 56, 44, -24, 4, -12, 20, -4, 2, 32, -44, 0, -8, -12, -24, -64, -76, 20, 12, -60, -8, -16, 0, 0, -12, 4, -12, 60, 4, 32, 48, 8, 8, -16, -16, 2, -60, -8, -8, -14, -56, 4, -8, -10, 12, 12, -24, 20, 8, 0, 56, 20, -24, 0, 28, -68, -24, -24, 64, -16, 44, 0, 6, 28, -68, -2, 4, 48, 8, 76, -80, 20, 48, 4, -48, -20, 0, -40, 0, -84, 18, -8, 0, -8, 28, -60, 4, 56, 16, 0, -56, -16, 28, -24, 24, 48, 96, -4, 2, 32, 0, -32, -68, 4, 20, 20, 12, -4, -4, 48, 0, -32, -44, 4, 116, 52, 8, 16, -36, -28, -72, 28, 24, 0, 80, 4, -24, -4, 2, -32, 40, -40, 44, 0, 20, 12, 28, 0, 20, 12, -36, -24, 24, 4, -64, -4, -60, -60, -8, 32, -32, 8, 8, -24, -8, -24, 116, 8, 14, 2, -12, -12, 84, -4, 0, -8, 18, 0, 36, 16, 2, -32, -72, -8, -12, -20, -24, -40, 34, 16, 88, 56, -4, 16, 32, 0, -56, 0, -8, 32, 6, -28, 28, -4, 20, -60, 104, 0, 6], 'weight': 2, 'weight_parity': 1}