Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 296, 'analytic_conductor': 0.5908929749574748, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 6, 'char_parity': 1, 'char_values': [74, 6, [39], [5]], 'cm_discs': [], 'conrey_index': 11, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [3, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461450, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13733, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 5, 1, 6, 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': True, 'label': '74.2.e.a', 'level': 74, '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': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.e.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{12}q^{2}+(\\zeta_{12}-\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.e', 'trace_display': [0, -2, -6, -8], 'trace_hash': 878250473523094727, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.954', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '60.368', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1477.627', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.183', 'prec': 10}, 'traces': [4, 0, -2, 2, -6, 0, -8, 0, -2, 0, 12, 2, 0, 0, 6, -2, -6, 12, 6, -6, -8, 6, 0, -6, -4, -24, 16, 8, 0, -6, 0, 0, 0, 0, 24, -4, -2, -12, -36, 0, 6, 24, 0, 6, 0, 6, 12, 4, -18, 0, 0, 0, 12, 0, -18, 0, -24, -12, 12, 0, 30, -6, 16, -4, 0, 0, -2, 0, 24, 0, -12, 12, -8, 0, 8, 6, -24, 12, -18, 0, -2, 0, -6, -16, 12, 12, -42, 0, 18, -12, 0, -6, -24, 30, -6, -6, 0, 0, 6, -8, 12, 6, 0, -12, 0, -12, 12, 8, -6, -12, 22, 16, 48, 12, -6, 6, 0, -12, 0, 6, 4, 24, 18, 6, 0, -48, -10, 0, 24, 36, -18, 0, -24, 0, -24, 0, -12, -24, -14, 0, 24, 0, -36, -2, 6, -36, 36, -22, -12, -12, 14, -6, 6, 0, 6, 0, -2, -12, -48, 0, 24, 0, 12, -6, 0, -30, -24, 24, 46, 0, 0, 12, 6, 36, 32, -6, 0, 0, 0, 6, 10, 48, 6, 12, -18, 24, -18, 6, -32, 18, 0, 2, 0, 0, 72, -36, -18, 30, 0, 0, 16, -12, -24, -6, -18, 0, -42, 0, 0, -24, 8, 24, -24, 0, 12, 0, -24, -12, -32, -18, 0, -42, -28, 0, -4, 12, 6, 0, 38, 0, 0, -24, -60, 12, -18, 0, 0, 0, 24, -6, 0, 36, 34, 30, 0, -30, 36, -12, -48, 0, 0, 8, 0, 54, -6, -2, 18, 0, 88, 0, 78, -6, -12, -12, 0, 24, 0, 2, -72, 0, -2, 6, 0, -36, -12, 24, 18, 18, 42, 0, -18, 0, -12, 12, 48, -72, 24, 0, -28, 0, -18, -4, -30, -54, -24, 0, 48, 24, 36, 4, -48, 0, -18, 0, -30, -24, -16, 24, -24, 0, 36, -12, 54, 36, -24, -18, -18, 48, 0, 6, -24, -48, -12, 2, 0, -12, 0, 12, -24, -12, -24, -12, -20, 0, 6, -8, 14, 0, 0, 6, 0, 18, 32, 24, -24, 24, 0, -42, 34, 0, 0, -6, 42, -24, 36, 0, 24, 12, 120, -24, -14, 0, 34, 0, 12, 18, 20, -6, -60, 0, -96, -24, -2, -6, -42, 0, -72, 0, -8, -12, 128, 18, 48, 0, 72, 0, -60, 18, -18, -36, 6, 0, 0, -60, 18, 12, -20, -24, 0, -4, 0, -12, -36, 6, 6, 96, -6, 12, -54, 12, -30, 24, 0, 18, 0, 12, 64, -24, -48, 24, 0, 36, 54, -12, 12, 48, -120, -12, -72, 0, 66, -8, -92, 48, 42, 0, 24, 0, -12, -6, -18, 36, -24, 20, -36, -54, 30, 8, -24, 0, 6, 0, 32, -12, 0, -12, 90, 0, -24, 6, -96, 48, 12, 6, 24, 36, 0, -72, -8, -60, 76, 12, 0, -12, 0, -24, 36, -24, -12, 12, 0, -72, -96, 2, 18, -6, 0, 12, 0, 0, 12, 36, -6, -36, 0, 6, -48, 12, 18, 42, 24, -24, 54, 0, -18, 12, -92, -20, 6, 0, 16, 0, 24, 12, 24, 24, 96, 0, 36, 36, -60, -24, 54, 0, -16, 0, -6, 0, 44, 12, -84, 0, 72, -18, -36, 18, 96, 36, -54, -24, 0, 54, -26, 0, 12, 48, 0, -6, 0, -12, -42, -12, 72, -48, -24, -28, 78, -18, 72, -24, 0, -12, 0, -24, -96, 24, -8, -12, 0, -36, 22, -36, 0, -48, -12, 2, -48, 0, 42, -6, 48, 36, 24, 0, -72, 0, 66, 18, -24, 36, -84, -20, 108, 24, -24, -6, -96, 0, -6, 0, 10, -96, -68, -14, -6, 0, -66, 6, 168, -36, -180, 6, -46, 0, 0, 24, -12, 48, -40, -6, 0, 12, 0, 36, 22, 12, -36, -4, 24, 96, -30, -6, 32, 0, 0, -24, 0, -30, 72, 0, 66, 0, 0, 24, -24, 18, -12, 12, 0, 24, 96, 0, -18, -6, 36, -12, -68, 0, -36, 0, 18, -48, 36, -30, 48, 36, 84, -24, -40, 18, 126, 0, 4, 0, -16, 92, 84, -36, -72, 0, -24, -12, 24, -42, 18, 0, 38, 12, 0, 36, 34, 12, -48, -18, 0, 18, 0, -36, 66, 16, 48, -96, 18, -12, -72, 36, -24, 48, 0, -12, 0, 0, 48, -48, 36, -60, 0, 12, 6, 6, -96, -36, -108, -10, 12, 0, -48, -48, -92, 72, -12, 0, -52, 0, -54, 6, -24, 48, -76, 24, -144, 48, 18, 12, 18, 0, 54, 0, 48, 84, -104, -6, -96, 0, -42, 32, -6, -72, 36, 18, -30, -84, 0, 54, -6, 48, 144, -2, 0, 24, 0, -42, 30, -12, 12, 0, -80, 24, 54, 36, -24, -18, 0, -18, 0, 12, 8, -36, 48, 18, 0, 30, -72, 0, 72, 24, 72, 48, -18, 0, -18, 12, -96, 32, -24, 0, 72, 0, -24, 12, 52, -24, 112, -24, -24, -6, 24, -36, 288, 0, 84, 0, -46, 0, 0, -48, 120, 0, -24, 30, -90, 0, 54, -60, 24, 0, 0, 48, -30, -48, -40, 24, 0, 4, 0, 6, -8, 12, 48, 0, -42, -48, -6, -48, -42, -36, 0, 0, 0, -12, -144, 12, 12, 0, 0, 36, -28, -24, -72, -54, 108, 12, 18, 0, -168, 32, 52, 24, 6, 0, -6, 0, 30, 0, 48, -12, 60, -18, 80, 0, -18, -14, -72, 0, -60, 0, 72, 72, -84, 4, -36, 0, -96, -12, -30, -60, 150, 6, -30, -144, 0, 24, -48, 24, -12, -38, 0, 0, 0, -18, 8, 12, -72, 0, -40, 72, 24, -12, 54, -36, 0, -30, 0, 12, 36, 24, -10, -72, 0, -18, -78, -42, -54, -12, 96, 48, -36, 0, 216, 12, 36, 0, 12, 0, 54, 0, -72, 12, 24, -6, 76, 12, 120, 0, -42, 48, -120, 0, 24, 0, -6, 68, 112, 18, 72, 0, -96, -24, 54, 54, -66, -90, 6, -30, 0, 36, 96, 72, -48, -30, 0, -6, 0, 48, 24, -24, -144, 12, -8, 0], 'weight': 2, 'weight_parity': 1}