Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1], [19, 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': [1425, 1, [476, 1027, 1351], [1, 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': [[2, [1, 1]], [7, [0, 1]], [11, [-5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660926353, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 117578, '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': '1425.2.a.b', 'level': 1425, '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, 5, 19], 'level_radical': 285, 'minimal_twist': '1425.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/1425/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1425.2.a', 'trace_display': [-1, -1, 0, 0], 'trace_hash': 287511850631547473, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '1.941', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.784', 'prec': 14}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, 'traces': [1, -1, -1, -1, 0, 1, 0, 3, 1, 0, 5, 1, 4, 0, 0, -1, -4, -1, -1, 0, 0, -5, -9, -3, 0, -4, -1, 0, 7, 0, 3, -5, -5, 4, 0, -1, -10, 1, -4, 0, -2, 0, 4, -5, 0, 9, 8, 1, -7, 0, 4, -4, 11, 1, 0, 0, 1, -7, 8, 0, 13, -3, 0, 7, 0, 5, 9, 4, 9, 0, 10, 3, -5, 10, 0, 1, 0, 4, -15, 0, 1, 2, 9, 0, 0, -4, -7, 15, 3, 0, 0, 9, -3, -8, 0, 5, -10, 7, 5, 0, 0, -4, -13, 12, 0, -11, 6, 1, -10, 0, 10, 0, -1, -1, 0, -7, 4, -8, 0, 0, 14, -13, 2, -3, 0, 0, 13, 3, -4, 0, 3, 5, 0, -9, 0, -12, 12, -9, 14, 0, -8, -10, 20, -1, 0, 5, 7, 10, 16, 0, -8, -3, -4, 0, 0, 4, 2, 15, -11, 0, 0, -1, 14, 2, 0, -9, 6, 0, 3, 0, -1, -4, -3, 7, 0, -5, -8, -3, -4, 0, -16, 0, -13, -27, 0, 3, -20, -8, 0, 0, -17, -7, 14, 10, 0, 7, 12, -5, 22, 0, -9, 0, 0, -4, 0, 13, -9, -4, -5, 0, 11, -11, -10, -6, 0, -3, 0, 10, 5, 0, -16, -10, -1, 0, 0, 1, 22, -1, 21, 0, 0, 21, 0, -4, 0, -8, 15, 0, 8, 0, 4, -14, -1, -13, 0, -2, -4, 9, -9, 0, -24, 0, -45, -13, 0, -17, 21, 4, 0, 0, 7, -3, -17, -15, 0, 0, -3, -9, 14, 0, 10, 4, 0, -12, 0, -9, 33, -14, 3, 0, -15, 8, 0, -10, 0, -20, 0, -5, -1, 0, 10, 5, 9, -7, 0, -30, -5, -16, -36, 0, 0, 8, 0, 1, 0, 4, -23, 0, 13, 0, 24, -12, -13, -2, 0, 15, 1, 11, 35, 0, -6, 0, 4, -1, 0, -14, 10, -6, 0, 0, -3, -9, -10, -6, 0, 0, -8, -3, 1, 0, 15, 1, 0, 12, 0, 3, 20, 7, -17, 0, -4, -25, 12, 8, 0, -3, 0, 4, 0, 0, 1, 16, -14, 0, 0, 13, 18, 9, -2, 0, 0, 3, -20, 20, 0, 24, 28, 0, -8, 0, -13, 17, -18, -3, 0, -14, 4, 10, -30, 0, 36, -21, -3, -12, 0, -5, -29, -22, 0, 0, 3, 9, 12, 0, 0, 0, -50, 12, -34, 0, -12, 13, 0, 9, 0, -20, -14, 5, 28, 0, -26, -11, 8, 33, 0, 10, 0, -6, -20, 0, 6, 1, -26, 0, 0, 10, 9, -5, 37, 0, -7, 16, -15, -10, 0, 1, -16, 0, -7, 0, -10, 1, 8, -22, 0, 3, -14, -21, 4, 0, 12, 0, -12, -7, 0, 0, 7, -4, 0, 0, -2, 24, 20, -15, 0, 0, 11, -8, 15, 0, -40, -4, 0, -14, 0, 1, 8, 39, -14, 0, 28, -2, -28, 4, 0, -3, 0, 9, -32, 0, -6, 24, 28, 0, 0, 45, -3, -13, -7, 0, 0, 11, 1, -21, 0, 4, 40, 0, 3, 0, -41, -7, 28, -3, 0, 17, -12, 5, 58, 0, 8, 0, -8, 3, 0, 27, 4, -14, -35, 0, -21, -10, 16, 20, 0, 0, 31, -12, 13, 0, -7, 27, 0, -33, 0, -14, 0, -3, 16, 0, 20, 15, 30, 8, 0, 0, 0, 30, 6, 0, 14, -20, 17, 0, 0, 7, -13, 1, -14, 0, 0, -10, 55, -15, 0, -9, -3, -7, -3, 0, -12, 10, -20, 5, 0, -16, -22, 36, -44, 0, -10, 0, 9, 8, 0, 0, 1, 5, 0, 0, 32, 4, -26, 23, 0, 0, -42, -13, 32, 0, 9, -24, 0, 4, 0, 13, 5, -2, 40, 0, 28, -45, -11, -1, 0, 11, -28, -35, 10, 0, -42, 6, 30, 0, 0, -4, -31, 3, 40, 0, 0, -14, 16, -10, 0, 2, -5, 0, -4, 0, 16, 3, 16, 27, 0, 10, -63, -6, 1, 0, 65, 0, 36, 8, 0, -3, 27, -1, 0, 0, -22, -15, -6, 1, 0, 0, -21, -4, 44, 0, 10, 3, 0, -20, 0, -21, 8, 17, 0, 0, -8, 4, 10, 35, 0, -12, 0, 8, 13, 0, -15, 9, -27, 0, 0, 4, -8, 0, 15, 0, 0, -1, -4, 16, 0, 14, 2, 0, 1, 0, -16, 13, -1, -18, 0, 45, 45, 2, 4, 0, 4, 0, -40, -9, 0, 20, 9, 20, 0, 0, 16, -8, 24, -28, 0, 0, 7, 8, 45, 0, -30, 13, 0, 17, 0, 18, 32, 17, -37, 0, -21, -14, -18, -4, 0, -30, 0, 30, 2, 0, 50, -36, -7, 7, 0, 3, -29, -12, 17, 0, 0, 15, 52, 29, 0, -22, -14, 0, -32, 0, 3, -3, -25, 9, 0, -12, -14, 0, -44, 0, -51, 0, -10, 50, 0, -4, -4, 34, 0, 0, 18, 12, 2, -39, 0, 0, 8, 9, 30, 0, -33, 28, 28, 14, 0, 5, -3, -28, -20, 0, 20, 26, 15, -11, 0, -8, 0, -11, 0, 0, 90, 10, -42, 0, 0, 18, -10, 20, 22, 0, 0, -6, -20, 5, 0, 26, 1, 0, -75, 0, 36, -30, -10, -9, 0, -5, -6, -37, -9, 0, 32, 7, -34, 16, 0, 15, 0, 30, 0, 0, 5, 1, -8, 16, 0, 0, 36, 7, 21, 0, -44, 10, 0, -3, 0, -8, -24, -22, 0, 0, 14, -1, 45, 14, 0, -21, 0, -4, -26, 0, 23, -12, 40, 0, 0, 12, -13, -35, 4, 0, 7, 0, -24, -7, 0, 12, 42, 0, 13, 0, 13, 2, 18, -8, 0, -20, -12, -15, -20, 0, -1, 0, 17, -11, 0, -8, -35, -15, 0, 0, -22, 40, 6, -4, 0, 0, 2, 42, -4, 0, -36, 1, 0, -8, 0, -13, 2, 14, 15, 0, -10, -28, -42, 6, 0, 28, 0, 4, -36, 0, 5, -15, 3, 0, 0, 9, 3, 32, 10, 0, 0, 6, -32, 24, 0, -28, -11, 0, -46, 0, 8, 45, 46, 3, 0, 39, -1, 7, -36, 0, 28, 0, -15, 23, 0, -1, -60, -21, 0, 0, 12, -12, 45, -40, 0, 0, -52, -3, -29, 0, -20, 41, 0, -7, 0, -28, 17, 9, 42, 0, -36, 17, 4, 12, 0, 25, 0, -58, -12, 0, 54, -8, 8, 0, 0, 8, -50, 3, -23, 0, 0, -9, -70, -4, 0, -14, 0, 35, 36, 0, -72, 21, -1, -10, 0, -16, 38, -28, 14, 0, 46, 0, 34, -31, 0, 36, -23, -13, 0, 0, -18, 7, -27, -9, 0, 0, 2, -33, -40, 0, 0, 42, 0, 0, 0, -3, -36, -16, 20, 0, -8, -20, 19, 15, 0, -30, 63, -24, -28, 0, -28, 0, -65, 0, 0, -10, 8, -6, -36, 0, 0, -14, 13, 60, 0, -17, -30, 0, 18, 0, -19, 3, -32, 13, 0, 1, 12, 14, -13, 0, -4, 0, -1, -10, 0, -55, 30, 5, 0, 0, -51, -9, -36, 3, 0, 21, 30, 3, 3, 0, -49, 12, 0, 50, 0, 20, -36, 5, -14, 0, 29, 48, -38, 22, 0, 36, 0, 44, -50, 0, 49, 10, -3, 0, 0, -9, -40, -24, -12, 0, 0, 0, -45, -1, 0, -7, 30, 0, -99, 0, 50, -32, 61, -12, 0, 26, 34, 23, -69, 0, 0, 0, 12, 42, 0, -13, 48, -32, 0, 0, 20, -9, -5, -24, 0, 0, 28, 20, -32, 0, 14, 13, 0, -5, 0, 6, -28, -40, 15, 0, -40, -28, 26, 15, 0, 11, 0, -1, -8, 0, -6, -33, -9, 28, 0, -35, 60, -10, 14, 0, 0, 42, 32, 6, 0, -30, 20, 0, -30, 0, -52, -4, -6, 31, 0, -1, 11, -40, 26, 0, -50, 0, 12, 42, 0, -16, 2, -10, 0, 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0, -22, 3, 56, 29, 0, 36, -9, -17, 77, 0, 12, 0, -43, -5, 0, -52, -58, 29, 0, 0, -40, 66, -8, 14, 0, 0, 31, 32, 8, 0, -58, -3, 0, -3, 0, 25, 3, -27, 66, 0, -4, -12, 52, 14, 0, 0, 35, 44, 27, 0, 22, 51, 21, 0, 0, 10, -73, 50, -16, 0, 0, -20, -90, 4, 0, 34, -6, 0, 80, 0, -31, -18, 33, 12, 0, -2, -13, 13, 40, 0, 52, 0, 7, -8, 0, -27, -22, -30, 0, 0, -40, 33, -47, 12, 0, -28, -32, 14, -25, 0, 0, -15, 0, 3, 0, -28, -16, 20, 45, 0, -37, -20, -20, 26, 0, -15, 0, 33, -30, 0, -3, -8, 42, 0, 0, -55, -30, 0, -71, 0, 0, -90, 12, -30, 0, 42, -6, 0, -46, 0, 56, -6, -14, 10, 0, 20, 0, -22, -17, 0, 28, 0, -25, -6, 0, 20, 10, -7, 0, 0, 13, 26, -28, -1, 0, 0, 14, 75, -80, 0, 32, -36, 0, 10, 0, 10, -83, -9, -55, 0, 52, 15, -25, 6, 0, -37, 0, 9, -6, 0, 3, -32, -8, 7, 0, 34, 3, -48, 91, 0, 0, 15, 12, 0, 0, -10, -12, 0, 20, 0, 48, -5, 44, -3, 0, 8, -63, 16, 0, 0, 22, 0, 70, -36, 0, 7, 44, -21, 0, 0, 36, 44, 10, 10, 0, 0, 56, 1, -9, 0, 57, -8, 70, 24, 0, 66, 135, 0, -24, 0, -1, -14, 16, -5, 0, -45, 0, 14, 24, 0, 16, 63, -32, 0, 0, -4, 30, 26, 26, 0, 0, -23, 10, -12, 0, -40, -32, 0, -27, 0, 42, 12, 40, 13, 0, 49, -32, -4, 15, 0, -6, -7, -9, 0, 0, 24, 48, -7, 0, 0, 60, -4, 1, -42, 0, 0, -3, -13, -40, 0, -5, -13, 0, 2, 0, -18, -40, -40, -15, 0, 39, -20, -28, 12, 0, 45, 0, 20, 11, 0, 46, 1, -15, 0, 0, -17, -83, -11, -81, 0, 28, 24, 6, 35, 0, -15, -10, 0, 0, 0, 4, 22, 42, 40, 0, -6, -16, 12, -30, 0, 30, 0, 56, -2, 0, -14, 64, 4, 0, 0, 31, 36, 63, -3, 0, 0, -40, -8, -6, 0, -52, -65, 0, -2, 0, 14, 13, -15, -16, 0, -110, 10, -32, -28, 0, 42, 0, -2, -20, 0, 5, 28, -48, 0, 0, -12, 4, 36, 6, 0, 0, -5, -16, 21, 0, -3, 62, 0, -16, 0, -80, -27, 9, -3, 0, 32, 35, -10, 46, 0, 63, 0, 24, 6, 0, 32, -1, -72, 14, 0, 46, -28, -65, 11, 0, 0, 44, 46, -36, 0, 32, -8, 0, -135, 0, -46, -24, 3, -40, 0, -27, -13, -6, 1, 0, 7, 0, 36, 45, 0, 8, -28, 22, 0, 0, 15, -27, -45, 6, 0, 0, -1, -39, 60, 0, 63, -56, 0, 70, 0, 21, -12, -39, 4, 0, -45, -44, -40, -54, 0, 10, 0, -10, 52, 0, -3, 27, 29, 0, 0, 3, 20, -1, 41, 0, 0, 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-72, 27, 1, 2, 0, 0, -85, 10, -17, 0, 50, 11, 0, 4, 0, -57, 104, 8, 8, 0, 35, 0, -12, 15, 0, -15, 0, -46, 40, 0, 36, -15, 22, 0, 0, -40, 7, 3, -6, 0, -56, 4, -85, 32, 0, 16, -36, 0, -4, 0, -2, -3, -86, -42, 0, 30, 4, -2, 58, 0, -20, 0, 36, -24, 0, -1, -74, -55, 0, 0, -117, 8, 150, 16, 0, 0, 27, 13, 0, 0, -2, 1, 0, -14, 0, 54, -15, 4, -58, 0, 12, 25, 10, -27, 0, 28, 0, -45, 42, 0, 88, -6, -16, 0, 0, -4, 86, -28, 70, 0, 0, 13, -32, -4, 0, 22, 36, 0, 12, 0, 20, 40, -5, 48, 0, 15, 84, 66, -3, 0, 50, 0, -2, -60, 0, -22, -91, -9, -91, 0, -3, 20, 10, -32, 0, 0, -10, 60, -7, 0], 'weight': 2, 'weight_parity': 1}