Formats: - HTML - YAML - JSON - 2025-12-14T18:53:06.412831
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 288, 'analytic_conductor': 0.5749228945532188, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 72, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 6, 'char_parity': 1, 'char_values': [72, 6, [55, 37, 65], [3, 3, 1]], 'cm_discs': [-8], 'conrey_index': 11, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798600, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13388, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 9, 4, -1, 6, 0], [1, 1, 72, 12, 1, 6, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '72.2.l.a', 'level': 72, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.l.a', 'nf_label': '4.0.576.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\beta _{1}q^{2}+(1-\\beta _{1}-\\beta _{2})q^{3}+2\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d6', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '72.2.l', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1535759756060347231, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.669', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.464', 'prec': 17}, {'__RealLiteral__': 0, 'data': '91.888', 'prec': 20}, {'__RealLiteral__': 0, 'data': '27.655', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3133.992', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.647', 'prec': 17}, 'traces': [4, 0, 2, 4, 0, -4, 0, 0, 2, 0, -18, 8, 0, 0, 0, -8, 0, -16, -4, 0, 0, -4, 0, 8, 10, 0, 20, 0, 0, 0, 0, 0, -14, 8, 0, -4, 0, 36, 0, 0, 18, 0, -10, 0, 0, 0, 0, 8, -14, 0, 10, 0, 0, -4, 0, 0, -38, 0, 18, 0, 0, 0, 0, -32, 0, -8, 14, -36, 0, 0, 0, -16, -4, 0, -10, -4, 0, 0, 0, 0, 14, 32, 0, 0, 0, -36, 0, 8, 0, 0, 0, 0, 0, 0, 0, 32, -10, 0, 16, 40, 0, 28, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 40, 0, 0, 0, -40, 0, 0, 36, 0, -32, 0, 0, 0, 0, 0, 46, 0, 0, -44, 0, 0, 0, 32, -18, 0, -22, 0, 0, 0, 0, -16, 0, -72, -28, 0, 0, -40, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -16, 8, 36, 0, 8, 0, 0, -26, 0, -74, -40, 0, 0, 0, 72, 40, -16, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, -16, -22, 72, 0, 28, 0, 76, 0, 0, 28, 0, 0, -32, 0, 0, 0, 0, -18, 0, -28, 0, 0, -28, 0, -16, 0, 0, 70, 0, 0, 0, 0, 0, 20, -64, 90, -8, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 26, 0, 2, 0, 0, -20, 0, 0, -8, 0, 0, 0, 0, 0, 0, -32, -90, 40, 0, 0, 0, 80, 0, -80, 0, 0, 16, -28, 0, 0, 0, -72, 0, 32, -90, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 32, -72, 0, -62, -4, 0, -28, 0, 0, -86, 0, 0, 20, 0, 0, 0, 8, 0, 16, 68, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 56, 0, 0, 0, 32, 0, 0, -52, 0, 0, 0, 0, 0, 14, 0, 64, 0, 0, 16, 0, -72, 0, 0, 18, 0, 0, 0, 0, 32, 90, -56, 0, 0, 0, 56, 0, 0, 144, 0, 72, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, -36, 0, 0, 0, 0, -76, 0, 0, 0, 0, 32, 0, 0, -20, -40, 0, 0, 0, 0, -80, 0, 0, 52, 0, 0, 0, 40, 18, -8, 0, 0, 0, 0, 0, 88, -22, 0, -50, 0, 0, 0, 0, 0, -44, -104, 0, 0, 0, 0, 0, 0, 90, 0, 0, -36, 0, 0, 0, -40, -76, 0, 0, 0, 0, -68, 0, 0, 14, 0, -126, 0, 0, 0, 0, 0, 0, -40, -140, 0, 0, -4, 0, 64, 26, 0, 16, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -40, 126, 0, -10, 0, 0, 0, 0, 0, 0, 72, 0, -72, 0, -88, 0, 0, 4, 0, 126, 4, 0, 0, 0, 0, 0, 16, 14, 0, 0, 44, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -20, 32, 0, 52, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, -32, 46, 0, 58, 0, 0, 16, 0, 72, -56, 0, 0, 0, 0, 0, 0, 32, 0, 0, -46, 0, 0, -40, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, -10, 80, -90, 0, 0, 0, 0, 0, -126, 0, -22, 0, 0, 0, 0, -16, 68, 144, -44, 0, 0, 40, 0, 0, 0, 0, -18, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -40, -46, 0, 58, 0, 0, 0, 0, -144, 0, 0, 0, -68, 0, 36, 0, 0, -90, 0, 26, 0, 0, 0, 0, 0, -50, -144, 86, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -126, 64, 50, 0, 0, -116, 0, 32, -68, 0, 0, 8, 0, 0, 0, 0, 142, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 50, -104, 0, -32, 0, 0, 94, 0, 0, -140, 0, 0, 0, -40, 0, 0, 92, 0, 0, 104, 0, 0, 22, 0, -98, 0, 0, 0, 0, 144, 0, 32, 0, 76, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, -98, 0, 0, 144, 0, 0, 92, 0, -18, 0, 0, 0, 0, 0, 0, -56, 68, 0, 0, 0, 0, 0, 0, 0, -32, 184, 0, 0, 0, 0, -26, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 44, 0, -32, 44, 0, 4, 0, 144, 0, 0, 126, 0, 0, 0, 0, 112, 0, 40, -100, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -32, -112, 90, -44, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, -104, -98, 0, 0, 0, 0, 64, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 126, -80, 0, 0, 0, -208, 0, 0, 58, 0, -80, 56, 0, 0, 0, 0, 88, -40, 0, 0, 0, 0, 0, -112, 0, 0, -58, 0, 0, 0, 0, -16, 0, -72, -180, 0, 0, 0, 0, 0, -20, 0, 0, -8, 0, 0, 0, 0, 0, 56, -4, 0, 0, -4, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, -180, 0, -64, 0, 0, -10, 0, 0, 0, 0, 136, -8, -144, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 180, 0, 44, 0, 0, -136, 0, 154, 0, 0, 0, 0, 0, 0, 256, 90, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, -74, 104, 0, 0, 0, -144, 26, 0, 0, -4, 0, 0, 0, 0, 18, -8, 16, 0, 0, -40, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 16, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}