Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [29, -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': [522, 1, [407, 379], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [-2, 1]], [7, [-4, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036938, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 61890, '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': '522.2.a.e', 'level': 522, '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': False, 'level_primes': [2, 3, 29], 'level_radical': 174, 'minimal_twist': '522.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{5}+4q^{7}-q^{8}-2q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/522/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.a', 'trace_display': [-1, 0, 2, 4], 'trace_hash': 1544574459767493366, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, {'__RealLiteral__': 0, 'data': '0.986', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.041', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.968', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.158', 'prec': 10}, {'__RealLiteral__': 0, 'data': '4.955', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [1, -1, 0, 1, 2, 0, 4, -1, 0, -2, 0, 0, 2, -4, 0, 1, -2, 0, 0, 2, 0, 0, -4, 0, -1, -2, 0, 4, 1, 0, 6, -1, 0, 2, 8, 0, -4, 0, 0, -2, -2, 0, 4, 0, 0, 4, 8, 0, 9, 1, 0, 2, 14, 0, 0, -4, 0, -1, -6, 0, -8, -6, 0, 1, 4, 0, -12, -2, 0, -8, 16, 0, -2, 4, 0, 0, 0, 0, -6, 2, 0, 2, 2, 0, -4, -4, 0, 0, -14, 0, 8, -4, 0, -8, 0, 0, -14, -9, 0, -1, -10, 0, 8, -2, 0, -14, 14, 0, 14, 0, 0, 4, -18, 0, -8, 1, 0, 6, -8, 0, -11, 8, 0, 6, -12, 0, 2, -1, 0, -4, 12, 0, 0, 12, 0, 2, -6, 0, -20, 8, 0, -16, 0, 0, 2, 2, 0, -4, -6, 0, -16, 0, 0, 0, 12, 0, 12, 6, 0, -2, -16, 0, -12, -2, 0, -2, -4, 0, -9, 4, 0, 4, -6, 0, -4, 0, 0, 14, 10, 0, 10, -8, 0, 4, -8, 0, 0, 8, 0, 0, -16, 0, 14, 14, 0, 9, 6, 0, 8, 1, 0, 10, 4, 0, -4, -8, 0, 2, 0, 0, 12, 14, 0, -14, 8, 0, 24, -14, 0, 0, -4, 0, 28, -4, 0, 18, 6, 0, -20, 8, 0, -1, -8, 0, 16, -6, 0, 8, -24, 0, -10, 11, 0, -8, 18, 0, 0, -6, 0, 12, 12, 0, 0, -2, 0, 1, 20, 0, -16, 4, 0, -12, 24, 0, 28, 0, 0, -12, -30, 0, 2, -2, 0, 6, 0, 0, -2, 20, 0, -8, 0, 0, 4, 16, 0, 0, -8, 0, -13, -2, 0, -2, -14, 0, -12, 4, 0, 6, -8, 0, 16, 16, 0, 0, -16, 0, 20, 0, 0, -12, -16, 0, 6, -12, 0, -6, 30, 0, 0, 2, 0, 16, 0, 0, -2, 12, 0, 2, 32, 0, -8, 2, 0, 4, -24, 0, 22, 9, 0, -4, 0, 0, 8, -4, 0, 6, -22, 0, -6, 4, 0, 0, -16, 0, 32, -14, 0, -10, -8, 0, -19, -10, 0, 8, -4, 0, -2, -4, 0, 8, 56, 0, 6, 0, 0, -8, 2, 0, -16, 0, 0, 16, -32, 0, 0, -14, 0, -14, -6, 0, 8, -9, 0, -6, -12, 0, -2, -8, 0, -1, -12, 0, 12, -10, 0, -4, 0, 0, -30, 4, 0, 8, -24, 0, 4, -2, 0, 0, 22, 0, 20, -12, 0, -14, 2, 0, -32, 14, 0, -8, 28, 0, 14, -24, 0, 14, 0, 0, -28, 0, 0, 4, -16, 0, -28, -28, 0, 4, 22, 0, 0, -18, 0, -6, 16, 0, -26, 20, 0, -8, 34, 0, -32, 1, 0, 8, 12, 0, -48, -16, 0, 6, 0, 0, 0, -8, 0, 24, -16, 0, -8, 10, 0, -11, -28, 0, 32, 8, 0, -18, 36, 0, -2, 0, 0, 6, 64, 0, -20, -12, 0, -12, 8, 0, -20, 0, 0, 2, -42, 0, -8, -1, 0, -20, 16, 0, 0, 16, 0, -4, -20, 0, -12, 12, 0, -24, -12, 0, -7, -28, 0, 0, -4, 0, 28, 12, 0, 30, 0, 0, 40, -2, 0, 2, 28, 0, 20, -6, 0, 0, 0, 0, -24, 2, 0, -20, 2, 0, 8, 8, 0, 0, 32, 0, -36, -4, 0, -16, 18, 0, 20, 0, 0, 8, 4, 0, 26, 13, 0, 2, 8, 0, 0, 2, 0, 14, 2, 0, 0, 12, 0, -4, 48, 0, -16, -6, 0, 8, 8, 0, 26, -16, 0, -16, -22, 0, -42, 0, 0, 16, 16, 0, 26, -20, 0, 0, -18, 0, 28, 12, 0, 16, -56, 0, -19, -6, 0, 12, 8, 0, -20, 6, 0, -30, 4, 0, 18, 0, 0, -2, -22, 0, 4, -16, 0, 0, -4, 0, 0, 2, 0, -12, -46, 0, 24, -2, 0, -32, 12, 0, 18, 8, 0, -2, 0, 0, -4, -4, 0, 24, 0, 0, 30, -22, 0, -9, 46, 0, -56, 4, 0, 0, -6, 0, -12, -8, 0, 4, 28, 0, 20, -6, 0, 22, -40, 0, 4, 6, 0, -4, 30, 0, 0, 0, 0, 16, -40, 0, -6, -32, 0, 14, -24, 0, 0, 10, 0, 8, 20, 0, 32, 19, 0, 10, -1, 0, 14, -8, 0, 4, -8, 0, 48, 2, 0, 4, 0, 0, 4, -8, 0, -56, 16, 0, -12, -6, 0, 0, 56, 0, 14, 8, 0, -2, -32, 0, -28, 16, 0, 0, 24, 0, 56, -16, 0, 32, -12, 0, 46, 0, 0, 14, 34, 0, -6, 14, 0, 6, 0, 0, 0, -8, 0, 9, 24, 0, -4, 6, 0, 12, -72, 0, -16, 2, 0, 8, -10, 0, -16, 1, 0, 12, 0, 0, -32, -12, 0, 10, -18, 0, -12, 4, 0, 0, -24, 0, 0, 30, 0, -4, 6, 0, 26, -8, 0, 24, 20, 0, 40, -4, 0, 2, -18, 0, -8, 0, 0, -22, 24, 0, 1, -20, 0, 12, -18, 0, -44, 14, 0, -2, 16, 0, 56, 32, 0, -14, -24, 0, 20, 8, 0, -28, -20, 0, -12, -14, 0, 24, 0, 0, -24, -14, 0, 0, -48, 0, -14, 28, 0, 0, -30, 0, -20, -4, 0, 16, -48, 0, 8, 28, 0, 28, 0, 0, 20, -4, 0, -22, 6, 0, -28, 0, 0, 18, 20, 0, 16, 6, 0, -16, -56, 0, 0, 26, 0, -20, 48, 0, -24, 8, 0, -34, 32, 0, 4, 32, 0, -1, 0, 0, 0, -8, 0, -12, 0, 0, -2, 48, 0, 16, -22, 0, 8, -6, 0, 0, -48, 0, -4, 0, 0, 8, 4, 0, -32, -24, 0, 16, -24, 0, 5, 8, 0, -10, 28, 0, 34, 11, 0, 28, -8, 0, -80, -32, 0, -8, 56, 0, 0, 18, 0, -36, -40, 0, 12, 2, 0, 0, -16, 0, 52, -6, 0, -64, 16, 0, 32, 20, 0, 12], 'weight': 2, 'weight_parity': 1}