Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 235, 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 3, 8, 3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007817763586867, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 85131, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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': False, 'label': '819.2.j.c', 'level': 819, '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': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '91.2.e.b', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{1}-\\beta _{3})q^{2}+(3\\beta _{1}+3\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '819.2.j', 'trace_display': [-3, 0, 0, -8], 'trace_hash': 2058080301351286827, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.939', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '61.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.492', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1686.886', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.025', 'prec': 7}, 'traces': [4, -3, 0, -3, 0, 0, -8, 12, 0, 5, -6, 0, -4, 15, 0, -13, -6, 0, -6, -30, 0, 18, -12, 0, 0, 3, 0, -3, 0, 0, -10, -15, 0, -2, 0, 0, 4, -9, 0, 20, 0, 0, -32, -9, 0, -23, -6, 0, 4, 0, 0, 3, -6, 0, 0, -24, 0, 10, 6, 0, -6, 30, 0, 8, 0, 0, 6, 21, 0, 5, 0, 0, -8, -9, 0, 18, -6, 0, -8, 15, 0, -10, 0, 0, 40, 24, 0, -18, 0, 0, 8, 66, 0, -19, 0, 0, -16, -39, 0, 0, -18, 0, -8, -12, 0, 38, -24, 0, -8, 15, 0, 65, 24, 0, 10, 30, 0, 2, -6, 0, 4, -9, 0, -15, 0, 0, 8, 9, 0, -5, -12, 0, 30, -18, 0, 22, -12, 0, -40, 60, 0, -20, 6, 0, -20, -6, 0, 78, -12, 0, -14, -18, 0, -36, 0, 0, -14, 3, 0, -30, 60, 0, 6, -30, 0, 0, -72, 0, 4, -15, 0, 24, -6, 0, 0, 78, 0, 5, 0, 0, -48, -15, 0, -56, 30, 0, -18, 78, 0, -30, 0, 0, 12, -18, 0, 33, 72, 0, 28, 0, 0, 54, 0, 0, 20, 3, 0, 13, 36, 0, 16, -39, 0, -31, 0, 0, -10, -6, 0, 45, 6, 0, -16, -15, 0, 2, -6, 0, -8, -90, 0, -80, 6, 0, 20, -21, 0, 4, -24, 0, 4, 6, 0, 18, 0, 0, 6, -30, 0, -25, -24, 0, 72, 24, 0, 9, -18, 0, -20, 30, 0, -23, 12, 0, -40, -9, 0, 9, 18, 0, 14, 18, 0, 46, 0, 0, -26, 60, 0, -100, -72, 0, -12, -60, 0, -18, 0, 0, -24, -30, 0, 33, 24, 0, -40, -48, 0, -3, 12, 0, 64, 102, 0, -39, 0, 0, 24, 45, 0, 25, -60, 0, 38, 42, 0, -66, -12, 0, 0, 30, 0, -23, 36, 0, 0, 39, 0, 80, 30, 0, 30, 0, 0, 64, 0, 0, 72, -3, 0, 15, -30, 0, 40, -96, 0, -39, -12, 0, -64, 0, 0, -45, 48, 0, 40, -30, 0, 90, 6, 0, 20, 66, 0, 3, 60, 0, 12, -93, 0, -70, -6, 0, 30, 3, 0, -58, 0, 0, -8, 45, 0, 25, 30, 0, 0, -6, 0, -78, -6, 0, 32, 12, 0, -34, -30, 0, 12, -114, 0, 0, 24, 0, 10, -27, 0, -50, -24, 0, -4, 30, 0, -66, 6, 0, 0, 15, 0, -27, -96, 0, 0, -12, 0, -58, 0, 0, 30, 42, 0, -40, -18, 0, 64, -60, 0, 33, -36, 0, -8, -120, 0, 2, 0, 0, -10, 12, 0, -16, 48, 0, 0, 42, 0, -22, 0, 0, -28, -57, 0, 105, -48, 0, -96, 30, 0, 29, -12, 0, 6, -90, 0, -22, 48, 0, 0, -105, 0, 48, -6, 0, -4, 18, 0, -12, 60, 0, -10, -18, 0, -55, 120, 0, -40, 9, 0, 130, 0, 0, -26, -75, 0, 8, -48, 0, 0, -69, 0, 84, -36, 0, -8, -36, 0, -7, -30, 0, 36, -9, 0, -20, -18, 0, -52, 66, 0, -126, -30, 0, -36, 45, 0, -36, 0, 0, -10, 18, 0, -74, 66, 0, -16, 51, 0, -15, 60, 0, -72, -33, 0, 0, 0, 0, 40, 18, 0, 120, -24, 0, 32, 15, 0, 74, -24, 0, -40, 126, 0, 160, 42, 0, 32, 9, 0, 50, 0, 0, 52, 24, 0, 60, 0, 0, -18, 36, 0, -38, 96, 0, 60, 15, 0, -19, 60, 0, -80, -54, 0, 23, 24, 0, -88, -120, 0, -111, 0, 0, -8, 90, 0, -30, 6, 0, -4, -48, 0, -18, 0, 0, -34, 75, 0, 170, 0, 0, 50, 27, 0, -21, -144, 0, -16, 36, 0, -23, -60, 0, -4, -60, 0, 25, 6, 0, 32, -132, 0, 3, 36, 0, 18, 0, 0, -198, 18, 0, 10, -30, 0, -19, 0, 0, 0, 15, 0, 0, 0, 0, 20, 84, 0, -15, 36, 0, 16, -54, 0, -3, 30, 0, 32, 0, 0, -45, -18, 0, -20, 51, 0, 104, 6, 0, 50, 198, 0, -94, -60, 0, 40, 78, 0, 0, 0, 0, 12, -12, 0, -114, -18, 0, 60, 60, 0, 20, 120, 0, 0, -135, 0, 29, 36, 0, 40, -60, 0, 126, 0, 0, -48, 24, 0, -25, 48, 0, -44, -66, 0, 210, 18, 0, -18, 15, 0, -76, -96, 0, -30, 15, 0, -126, 120, 0, -20, -69, 0, -10, -120, 0, -104, 36, 0, 60, 0, 0, -8, -150, 0, 45, -6, 0, 184, -75, 0, -27, -36, 0, 0, 192, 0, -2, 0, 0, 0, 21, 0, -169, 0, 0, -14, 6, 0, 50, -48, 0, 6, 63, 0, 87, -72, 0, -44, 0, 0, 41, -24, 0, 10, -30, 0, -54, 18, 0, 48, 30, 0, -27, -60, 0, 48, 42, 0, -60, 72, 0, -28, 36, 0, -4, 0, 0, 50, 0, 0, -8, 66, 0, -20, -27, 0, 92, -48, 0, -36, -30, 0, -12, 0, 0, -20, 138, 0, 0, -6, 0, -48, -9, 0, -52, 42, 0, -28, 240, 0, 154, 30, 0, 60, -78, 0, 75, 48, 0, -6, 36, 0, 138, 0, 0, -24, -57, 0, 45, -48, 0, 80, -21, 0, 5, -36, 0, -16, 30, 0, 12, -18, 0, -180, -45, 0, -86, 0, 0, 22, 60, 0, -88, -60, 0, -24, 51, 0, -5, -24, 0, 0, 3, 0, 294, 60, 0, 0, 150, 0, 86, 0, 0, 0, 72, 0, 30, -72, 0, -78, -138, 0, 17, -60, 0, 48, 36, 0, 75, 96, 0, -20, -18, 0, -144, -54, 0, 8, 0, 0, 22, 24, 0, -50, 108, 0, -102, -12, 0, 12, 9, 0, -39, -60, 0, 120, 12, 0, 70, -36, 0, 80, -90, 0, -39, -36, 0, 0, -30, 0, -80, 6, 0, -40, 60, 0, -18, 96, 0, -48, -75, 0, 100, 60, 0, -26, -69, 0, 200], 'weight': 2, 'weight_parity': 1}