Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 320, 'analytic_conductor': 0.638803216170243, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 80, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 4, 'char_parity': 1, 'char_values': [80, 4, [31, 21, 17], [2, 3, 3]], 'cm_discs': [], 'conrey_index': 3, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1236984135760, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 14850, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 80, 19, 1, 4, 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': '80.2.s.a', 'level': 80, '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, 5], 'level_radical': 10, 'minimal_twist': '80.2.j.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 19, 'qexp_display': 'q+(i-1)q^{2}-2 q^{3}-2 i q^{4}+(i-2)q^{5}+\\cdots', 'related_objects': ['Genus2Curve/Q/6400/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '80.2.s', 'trace_display': [-2, -4, -4, -6], 'trace_hash': 299600904686788309, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '11.657', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '100.193', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.255', 'prec': 10}, 'traces': [2, -2, -4, 0, -4, 4, -6, 4, 2, 2, -2, 0, 0, 12, 8, -8, 2, -2, -6, 4, 12, 0, -2, -8, 6, -4, 8, -12, -14, -4, 0, 8, 4, -4, 18, 0, 0, 0, 0, -12, 0, -24, 0, 4, -4, 0, -14, 16, 0, 2, -4, 8, -16, -8, 2, 0, 12, 28, 6, -8, -2, 4, -6, 0, -4, 0, 0, 4, 4, -24, 0, 4, 6, 12, -12, 12, 12, 8, 16, 16, -22, -8, -4, 24, -6, 8, 28, -8, -12, 2, 12, 4, 0, 0, 6, -16, -22, -22, -2, -16, -10, 8, -10, -8, -36, 16, -12, 0, 10, 4, 0, 24, 26, 0, 2, -28, 0, -12, 0, 24, 0, 0, 0, -8, -4, 12, -14, -16, 0, 12, -14, -8, 36, -8, -16, 0, -18, 0, -18, 12, 28, 0, -4, -8, 42, -12, 0, -24, 2, -4, 16, -24, 2, -12, 4, -16, 40, -16, 32, -8, 12, 22, 28, 16, -4, 4, -6, 0, 18, 8, -6, -16, 0, -56, -42, 8, -12, 12, 10, 4, 6, 0, 4, -8, 12, -8, -4, 28, -24, 12, 0, 0, -30, 44, 8, 44, 0, 0, 0, 28, 0, 20, 0, -8, -8, 0, -2, 0, 0, 48, -38, 0, 0, 12, 8, 16, -12, -20, -12, -12, -4, -24, -18, -48, 6, 0, 0, -24, 2, 4, -24, 0, -18, -4, 14, 12, -32, 12, 0, -32, -28, -18, 20, 4, -22, 16, -12, 8, 8, -18, 22, -12, 0, 0, 12, 32, 26, -16, -36, -16, -14, 28, 14, 16, 32, -36, 24, 16, 2, 8, 0, -8, -24, 0, 2, -8, 0, 36, 0, 24, 0, 0, 0, 0, -12, 8, 24, 8, 0, -56, 44, 12, -24, 44, -18, 24, -8, 0, -4, 32, -24, -16, 20, 24, 2, -4, 0, 0, 20, -12, 32, 16, -26, -40, 18, 0, 16, -32, 28, -16, 24, -12, -12, 0, 16, -28, -20, -16, 84, -8, -42, 0, 0, 12, -8, -48, -22, -18, -52, -4, 4, 0, 24, 16, -4, -12, 4, 56, -6, 36, 0, 0, 26, 24, 0, 0, 0, 0, 0, -12, 0, -12, 0, -24, -18, 0, 42, 8, 0, -36, 48, 16, -8, 4, 8, -56, 28, 48, 30, -36, 28, 36, -10, 32, -24, 0, 0, -44, -46, -24, -4, -44, 28, -12, -32, 4, -64, -20, -72, -24, -4, 16, 8, -20, 44, -84, 12, 0, -76, 24, 36, 20, 0, 0, 8, 16, 36, 12, 34, -24, -10, 76, -14, -32, 14, 0, 12, 0, 8, -24, 0, -32, 10, 0, -84, 20, 0, 24, 0, 16, 0, 0, 0, 48, 24, 36, -4, 48, 0, 2, -8, -52, -32, -24, -12, 48, 14, 0, 8, -12, -42, 24, 38, 56, -8, 36, 0, 8, 24, 28, -80, 0, 8, 32, 6, -24, -16, 0, -64, 16, 24, 28, -24, 36, 66, -20, -30, -8, -56, 66, -18, -32, 0, 24, 2, 0, 0, -8, 58, 44, 12, 0, -58, 0, 30, 4, -36, 28, 34, -16, 0, -32, -24, -52, 10, 32, 0, 0, 0, 8, 0, 28, 0, -28, 84, 0, 4, -16, 0, -16, 6, 0, -16, -24, 24, -16, -20, -4, -22, 16, 30, -60, -12, 16, -30, 0, 0, 36, -2, -16, 84, 16, -48, -36, -24, -36, 56, 4, 16, -72, 8, 32, -36, -56, -26, 24, 66, 0, -12, -24, -50, -8, 0, 0, 2, 0, 18, 30, 60, 28, 12, -88, 16, 0, -4, 24, 4, -88, 12, 24, 0, 0, 34, 0, 12, -4, 0, 8, 0, -56, 0, 0, 0, 0, -18, -40, -46, 0, 0, 4, -28, 4, 16, 8, 16, 24, -50, 0, 14, 16, -8, -32, 36, 0, -14, 52, 0, 0, 12, -24, 48, 32, 76, -16, 14, 0, -44, -28, 0, 48, -60, -24, -52, 0, -16, 12, -30, -44, -12, -28, 24, 0, 0, 40, 42, 0, 6, -84, -22, 24, -50, 0, 8, -8, -72, 12, 28, -12, 36, 24, 0, 96, 2, 44, 24, 0, 0, 0, 0, -8, 0, -8, 0, 12, 18, 0, -4, 0, 0, -8, 42, 24, 12, -4, 54, 0, -8, 12, 36, 12, -26, -16, 36, -16, -28, 0, 0, -24, 2, 0, 16, -24, 4, -24, 12, -20, 0, 28, -64, 16, 60, -2, 56, 12, -98, 36, -14, 48, 26, 24, 8, -8, 0, 0, 44, 0, -8, -8, 42, 48, 24, -96, 62, -16, -2, 8, -4, 0, 36, 36, 0, 56, -44, 0, -32, -48, 0, -60, 0, 48, 0, 0, 0, -72, -6, 20, -12, -64, 0, 12, -52, 60, 96, 8, -16, 0, 72, 0, -24, 32, 0, 4, -56, 0, -80, -56, 0, 24, -28, 16, -156, -8, -4, 64, -64, 40, 0, 72, -28, -8, -12, 4, -12, -32, -24, -8, -4, 0, -52, -22, -18, 168, 0, -24, -56, 16, 24, 76, 12, -32, 30, 0, -42, -40, -4, 36, -108, 4, -54, -4, 0, -32, -22, -72, 18, -24, 0, 0, 0, -48, 0, 20, 0, -76, -36, 0, 54, 64, 0, -12, 12, 0, 32, -12, 6, -24, 54, -16, 38, 32, -48, 4, -10, 32, -12, 0, 0, 24, -16, 112, -16, 0, -22, 12, 78, -24, 8, -52, 48, -8, 92, -22, 12, 8, 36, -8, -46, -48, 84, -12, 22, -36, 0, 0, -10, 0, 8, -48, -28, -16, -16, 16, 48, 104, -18, 32, 100, 48, -10, -24, 0, -48, 4, 0, -4, -4, 0, -16, 0, 16, 0, 0, 0, 0, -48, -76, -10, -112, 0, 24, -66, -36, -64, 56, 8, -8, 6, 0, 52, -84, -2, 80, -8, -24, 72, -16, 0, 0, -12, -48, -32, 24, 62, 16, 36, 0, -56, 64, 108, 32, 54, -24, -12, 0, 30, 24, 66, -36, 24, -88, 62, 0, 0, 60, -32, 8, 34, 56, 12, -88, 10, 0, -10, 32, -12, 28, -168, -24, 8, 4, 0, -16, 84, 0, -20, 0, 0, 0, 0, -52], 'weight': 2, 'weight_parity': 1}