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': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 9, 'char_parity': 1, 'char_values': [74, 9, [39], [8]], 'cm_discs': [], 'conrey_index': 7, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 6, 12, 8, 6, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938186, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 13735, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 6, 1, 9, 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.f.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.f.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(-\\zeta_{18}+\\zeta_{18}^{4})q^{2}+(-\\zeta_{18}-\\zeta_{18}^{3}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '74.2.f', 'trace_display': [0, -3, 3, 6], 'trace_hash': 602968282923559769, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '5.691', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '95.920', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '2607.999', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 7}, 'traces': [6, 0, -3, 0, 3, 0, 6, 3, -3, -6, -9, -3, 0, 3, -18, 0, 0, -6, 9, 3, 3, 3, -15, 3, 21, -9, 3, -3, 0, 18, -18, 0, -3, 0, 3, -6, 9, 6, 18, 6, 6, -3, 12, -3, 0, 15, -3, 0, 0, 6, 0, 9, -18, -9, -18, 3, 12, -18, -6, -3, -12, -3, 6, -3, 0, -3, -3, -18, 42, -12, -6, -6, -36, 18, -30, 9, -15, -9, 30, -12, 12, -6, 6, -6, -18, 12, -27, 9, -33, -6, 9, 12, 3, -12, 51, -6, 42, 9, 27, -3, 12, -9, 0, -9, -30, 18, -9, 9, -24, 30, 36, 6, 18, 15, 33, 18, 0, 6, 9, -9, 0, -12, -24, 3, -3, 3, 3, 0, -27, -36, 36, 15, -15, 21, -30, 0, -9, 3, -42, 3, -18, -48, 36, -3, 9, -3, 18, 6, -30, 18, -33, -9, 9, -12, 9, -9, -3, -3, 18, 6, -45, -9, 18, -30, 15, -15, -33, 6, -72, 9, -12, 33, 9, 18, 12, 6, 6, 33, -24, 6, 27, -9, 0, -30, -3, 12, 9, -24, 21, -51, -48, 6, 18, -6, 36, 12, 51, 18, 9, 15, 48, 30, 27, 9, -42, 15, -15, 9, 3, 12, -15, 9, 6, 15, 69, 6, -21, -48, 30, -18, 54, -24, -60, 3, -21, 18, 33, -36, 0, -42, -3, 0, -15, 9, 3, -3, -30, 18, 48, 9, 54, -33, 3, -12, -24, -12, -45, -9, 21, 21, -21, -3, 60, -3, -27, 0, -9, 42, -3, 54, -36, 36, -12, -15, 54, 15, 33, -3, -39, -3, -30, 0, 18, -9, -54, -30, 84, -48, 9, 15, 12, 12, -51, -6, -51, -27, 18, -3, 0, 18, -96, -15, 6, -21, -90, -18, 0, 30, -63, -9, -21, -30, 9, 3, -12, 9, 30, -15, -42, 15, 48, 27, -9, 3, 3, -6, 54, 27, 27, 3, -24, 18, -9, 21, 45, -18, -48, 30, 21, -33, 45, -18, -39, 18, -51, 3, -3, 72, 0, -9, 24, -3, 24, 6, 48, 27, -33, 9, 39, 15, -45, 3, 87, -45, 96, -3, 18, -21, 12, 0, -45, -30, -21, 0, -54, 0, 27, 12, 60, -48, -54, 3, 63, 18, -6, -6, -63, -21, 36, 3, -3, 45, 72, 0, -30, 3, -51, -12, 33, 27, -9, -9, 0, 48, 60, 12, -18, -12, 15, -15, 126, -48, -9, 33, 63, -36, 42, 0, -33, 42, 0, -15, -6, 15, -3, 0, 6, 0, -96, 15, -21, -48, -3, -27, -63, 48, -12, -9, -81, 0, 0, 9, -3, -15, 54, 15, -129, -24, 24, 0, -33, -27, -78, -21, 0, -27, 30, -3, -3, -36, -78, 21, -3, -15, 9, 15, -12, -42, 54, 6, 9, -6, -63, -27, 39, -18, -42, 0, -18, 18, -6, 33, -51, 30, 84, -18, -27, -3, 84, -6, -45, 24, 27, -21, -42, -3, 120, 12, -18, -6, -6, 30, -27, 27, 3, -6, 18, -15, 60, -12, -15, 33, 12, -6, 15, -33, 72, 0, -6, -9, -21, -6, 9, 54, -72, -27, 42, 39, 36, -36, 39, -36, -78, 48, -21, -6, -9, 3, -48, -9, 69, 21, 126, 0, 15, -6, 33, -66, 30, 51, -12, 12, -15, -9, -54, -9, -81, 9, 72, 54, 108, 12, 9, 42, 27, 24, -48, 18, -54, -15, 18, -12, 6, 9, -24, 18, -12, -30, 9, 27, -12, -9, 24, 0, 6, -3, -39, -24, 69, 9, 30, 6, 45, -18, -27, 6, -30, 3, -12, 51, -6, 18, 42, -39, -9, 15, -33, 108, 33, -15, -42, -15, 15, -33, -45, -3, -48, 18, -72, 12, 63, 9, -66, 9, -84, -3, -72, -15, -27, -18, 24, -48, -60, -27, 87, -9, -42, -96, 0, -12, 51, 24, -57, -54, 66, -27, -45, 63, 30, -6, -33, 24, -42, 45, -21, 27, -12, 33, -99, -90, -24, -3, -21, 9, 12, 6, 36, 15, 30, 36, -6, 54, -54, -15, 96, -21, 126, -33, 12, -21, -36, -12, 114, 21, 33, -6, 39, -21, 54, 18, -78, 6, -9, -6, 9, -15, -75, -21, -18, -75, -21, 24, 21, -39, 72, -9, 36, -39, -51, 3, -54, 36, -96, 18, -51, 30, -48, 45, -54, -96, 21, -39, 48, -18, 117, -42, 51, 3, -27, -3, 42, -36, -15, -45, 63, -12, 21, -9, -30, 33, -99, 12, 15, 78, 81, 15, 3, 30, -12, 39, 144, 18, 33, -12, -60, 42, 9, 27, -33, 33, -15, -24, 0, 9, -48, -15, -84, 27, -51, 30, 63, 33, 39, 45, 9, -21, 54, -3, 33, 30, 126, -3, 21, -57, -45, 84, 57, -54, 48, -63, 114, 9, -108, 9, -99, -12, -48, -21, -51, -33, 21, 9, 36, 3, 18, -15, -3, 48, -36, 3, -48, -18, 69, 3, 108, 18, 54, 24, -60, 18, 63, 27, 84, -33, -30, 9, 93, 6, 0, -24, 36, 9, -54, 0, 54, -30, 33, 3, 57, -54, 51, -9, 0, 54, -180, -42, -27, -39, -72, -15, -39, 24, -12, 48, -150, 3, 66, -9, 12, 18, -141, -48, -9, -24, 12, 9, -6, 81, 36, -48, 18, -6, -42, -9, -39, 21, -48, 15, -93, 45, 0, 24, 42, -24, -45, 30, 6, -39, 9, 15, 87, -24, -21, 0, 66, -21, 60, 27, 6, 33, -123, -9, 42, -30, -75, 3, 72, 27, 18, -21, -81, -12, -69, 0, -102, -6, -102, 15, 12, -54, 9, 12, 69, -69, -24, -9, -24, -54, -6, -6, 30, 54, -108, 24, 48, -114, -99, -9, -93, -39, -30, 18, -48, 42, -45, 0, 120, 27, 0, -33, 117, -45, 54, 39, -57, 36, 21, -30, 27, -33, -54, -9, -27, 0, -24, 18, -18, -12, -18, 9, -120, 90, 6, 54, 81, 63, 87, 0, -9, 96, 42, -21, -6, 57, 36, 12, 57, -15, 90, 33, 42, 105, -24, -12, 93, -81, -21, 18, 48, 3, 66, 6, 18, -18, -18, -12, -63, -42, 63, -6], 'weight': 2, 'weight_parity': 1}