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': 2, 'hecke_orbit_code': 4503874538831946, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13734, '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.b', '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.b', '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, 4], 'trace_hash': 1446538950909923141, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.832', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '50.609', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '982.755', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.185', 'prec': 10}, 'traces': [4, 0, -2, 2, 6, 0, 4, 0, -2, 0, -12, 2, -12, 0, -6, -2, 6, -12, -6, 6, 4, -6, 0, 6, -4, 0, 16, -4, 0, -6, 0, 0, 12, 12, 12, -4, -2, 12, 12, 0, -6, 12, 0, -6, 0, 6, 12, 4, 6, 0, 0, -12, -12, 0, -18, 0, -12, 0, -12, 0, 6, -6, -8, -4, -12, 0, 10, 0, -24, 0, 0, -12, 16, -24, 8, -6, -12, 12, 6, 0, -2, 0, -6, 8, 12, 12, -30, 0, 18, -12, -24, 6, 12, 6, -6, 6, 0, 0, 18, -8, 36, 18, 0, 0, 0, 12, 0, 8, 30, -12, 34, -8, -12, 0, -6, 30, 0, 12, 0, 6, 4, 0, -30, 6, 0, -24, 26, 0, -12, 0, -18, -12, -12, 0, 24, -12, 36, -24, 10, 0, -12, 0, 36, -2, -30, 0, -12, 2, -36, 12, 2, 6, -78, 0, -6, 0, -2, -60, 0, 0, 12, 0, 24, 6, 36, 30, -48, 12, -2, 36, 0, -24, -18, -60, -16, 6, 0, -24, 0, -6, -2, 0, -6, 12, -6, 0, -54, 6, 16, 18, 0, 2, 0, 12, 24, 12, -6, 42, 0, 0, 28, 12, 60, 42, -18, -24, 42, 0, 0, 12, 32, -24, -12, 0, 24, 0, 12, -12, -8, -18, -24, 6, 44, 0, -4, 0, -6, 0, -34, 0, -24, 0, 60, 24, 18, 0, 84, -24, -60, 6, 12, 36, 34, 6, 0, -42, 12, -12, -48, 0, 0, -4, 0, -18, -42, -2, -18, 24, 4, -24, 30, 30, -36, -24, 0, 12, 0, -10, 24, 0, -26, -6, 0, -36, 12, -24, 18, 54, -30, 0, -54, 0, -48, 0, -24, 24, 12, 0, 44, 0, -42, 8, -18, -18, -24, -12, -48, -24, 12, 4, -48, 0, -30, 0, 6, -48, -88, 12, 60, 0, 0, -12, 42, 0, -12, 6, 6, 24, 0, -6, 36, 24, 60, 2, 0, 12, 0, 24, 12, 24, 0, -12, 4, 0, 30, 4, 2, 0, 0, 6, 0, 6, 80, 24, -24, 12, 0, -30, -2, 0, -48, 6, -6, 0, 0, 0, 84, -12, 72, -24, -14, 0, -38, 0, 24, -6, -4, 6, 108, -36, -48, 12, -14, -42, 42, 0, 60, 0, 28, -12, -16, -6, -12, 0, -36, 12, 48, 6, -90, 36, 42, 0, 0, -12, 6, 36, -92, 0, 0, -4, 0, 48, 12, 18, -6, 0, 42, 36, 78, -24, 18, 12, 0, 18, 0, 0, -128, -24, 36, 12, 0, -36, -18, 12, -12, -12, 12, 0, -72, 0, -30, -8, -20, -24, -30, 0, -12, 0, -84, -6, 6, -72, -72, -4, 36, 18, 42, -4, -12, 0, 42, 0, -16, 12, -48, 0, -90, 0, 24, 6, -12, -48, 0, 30, 12, 0, 0, 12, -20, 12, 4, -12, 0, 24, 0, -12, 12, 0, 12, 12, 12, 48, -48, 2, -6, 6, 0, 0, 0, 0, 84, -60, 30, -36, 0, 6, 0, -12, -18, -42, 48, 0, -18, 0, 54, -24, 4, 52, 6, 0, 16, 0, -24, 24, -12, -12, -48, -24, 12, 0, -24, 60, 102, 0, 8, 0, -30, -24, 44, 12, -60, 0, 36, -6, 0, -18, 48, -36, -18, 24, 0, 54, 34, -24, 60, -24, 0, 18, 0, 12, 30, -12, 12, 24, 72, 20, 102, 6, -48, -12, 0, -24, 0, 12, -24, 24, 4, 12, 0, 0, -2, 36, 0, 48, 12, 2, -24, 0, -54, 30, -24, -36, 24, 0, -12, 0, 42, -6, 24, 36, 36, 4, 36, -24, 12, -18, 36, 0, -78, 0, 46, 48, -92, -2, 6, 0, -114, -6, -60, 0, -36, -78, 26, 0, 0, 12, -60, 24, 80, 6, 0, -36, 0, -12, 22, 24, 36, -4, -144, -48, -90, -30, 20, -36, 0, 0, 0, -30, 48, 0, -30, 36, 0, 12, -12, -18, -24, -12, 0, 0, 24, 0, -90, 18, -36, 12, -8, 0, 12, 0, 6, 0, 84, 30, -24, 24, -60, -48, -40, 18, -18, 0, -32, 0, -16, -4, 108, -12, 12, 0, -12, 12, 12, -30, 54, 0, -70, -24, 0, -36, -2, -36, 72, -6, 0, -30, 0, -36, -30, -8, 24, 0, -30, 12, -36, -36, 36, 24, 0, -12, 0, 24, 24, 72, 36, -12, 0, 60, -78, -6, 24, -36, -84, 2, 60, 0, 96, 0, -92, 0, 48, 0, -16, 0, -18, 6, -48, 60, 68, 0, 48, 24, 42, 0, -54, 0, 54, 0, 0, 84, 160, -6, 60, 0, 6, -16, 18, 72, 108, 18, -30, -60, 0, 18, -78, 0, 48, -2, 0, -12, 0, 18, -54, -36, 12, 24, -8, 0, -54, 12, 12, 54, 0, 6, 0, 12, -40, -12, -48, -90, 0, 42, -12, 0, 0, -36, 72, 0, 54, 0, 126, 0, -48, 56, 12, 0, 24, 0, 96, 12, -20, 60, -56, 72, 48, 42, -60, -24, 24, 0, -12, 0, -58, -48, -48, -24, -48, 0, 36, 30, -54, 12, 18, -84, -48, 0, 0, -48, 54, 24, -184, 0, 0, 16, 0, -42, 4, -12, 12, -48, 30, -24, 6, 0, 30, -36, 0, -48, 0, -24, -120, -36, 12, 0, 0, 72, 116, 12, 72, -90, -60, 12, 78, 0, -84, 8, 28, 24, 18, 0, -78, 0, -66, -12, -24, 12, -108, -18, 104, -72, -6, 22, 0, 0, 12, 0, 48, 96, -60, 4, 36, 0, -24, 0, -6, -12, -54, -6, -42, 0, 0, 12, -12, -48, -12, 34, 0, 48, 0, 18, 44, -72, 0, -48, 8, -120, -132, 0, 30, 0, 0, 30, 0, -12, -108, 48, -34, -36, 0, 18, -18, 6, -90, 12, 48, -12, 108, 0, -48, -12, 60, -48, -12, 0, -18, 0, 180, 12, 36, 6, 76, 72, -144, 12, -18, -24, 0, 0, -12, 0, 66, 68, 40, -6, -24, 0, -12, 36, 18, 18, 42, 18, -66, -42, 0, 180, 24, 24, -24, 42, 0, -6, 0, 24, 36, -24, -36, -60, -8, 0], 'weight': 2, 'weight_parity': 1}