Formats: - HTML - YAML - JSON - 2026-09-21T06:56:44.617430
Query: /api/mf_newforms/?_offset=0
Show schema

{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [13, 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': [637, 1, [248, 197], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [1, 3, 1]], [3, [-5, 0, 1]], [17, [-11, 6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407549, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 71172, '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': False, 'label': '637.2.a.f', 'level': 637, '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': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.e.b', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{2}+(1-2\\beta )q^{3}+3\\beta q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.a', 'trace_display': [-3, 0, 0, 0], 'trace_hash': 76912591916127072, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.807', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '69.611', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 7}, 'traces': [2, -3, 0, 3, 0, 5, 0, -6, 4, -5, -6, -15, -2, 0, -10, 13, -6, -6, 6, 15, 0, 9, -12, 20, 0, 3, 0, 0, 0, 15, 10, -15, 0, -1, 0, 6, -4, -9, 0, -20, 0, 0, -16, -9, 0, 23, -6, -15, 0, 0, -20, -3, -6, -5, 0, 0, 0, -10, 6, -15, 6, -15, 0, 4, 0, -15, -6, 21, 10, 0, 0, -12, 8, -9, 0, 9, 0, -5, 8, 15, -22, 10, 0, 0, 20, 24, -20, 18, 0, -10, 0, -33, 0, 19, 0, 15, -8, 0, -12, 0, -18, 15, 8, 6, 0, 19, -24, 15, 8, 15, -30, 0, -12, 15, -10, 30, -4, 1, 0, 30, -4, -9, 20, 15, 0, 0, 4, 9, 0, 5, -12, 45, 0, 9, 10, -22, -12, -45, -20, 0, 20, 20, 6, 26, 20, 3, 0, 39, -12, 0, 14, -18, -12, 0, 0, 15, 14, 3, 20, -15, 0, 33, -6, -30, 30, 0, 36, 0, 2, -15, 12, -24, -6, 30, 0, -39, 20, -5, 0, 30, -24, 0, 0, 56, 30, 25, 18, -39, 0, -15, 0, -30, -12, -18, 10, 0, -36, 18, -28, 0, 0, 27, 0, 15, -20, 3, -24, -13, -18, 0, 8, -39, 40, 31, 0, -20, 0, 3, 30, -45, 6, 35, -8, 0, 0, -2, -6, -45, 8, 45, 0, -40, 6, 6, -20, -21, 30, 0, 12, -65, -4, 6, 0, 9, 0, -30, -6, -30, 0, 25, 12, 0, 36, 24, 30, -9, -18, -40, 0, -15, 0, 23, 12, -60, -20, 0, -10, -9, 18, -15, -14, -9, 0, 23, 0, 105, 26, 60, 20, 0, 36, -45, 12, -60, -30, -9, 0, -30, 24, -30, -60, -33, -12, 0, -20, -48, 0, 3, 12, 0, 0, -51, 0, 39, 0, -2, 12, 0, 30, -25, -60, -20, -38, -21, 0, -33, -12, -45, 0, 30, -10, 0, -18, -33, 0, 39, 30, 40, 0, -45, -30, 0, -8, -64, 0, 0, 36, -3, -40, -15, -30, -18, 0, 48, 60, 39, -12, -30, -32, 0, 0, 45, 48, -15, -40, 15, 0, 45, 6, -40, -20, 66, 0, 0, -30, 15, -12, -93, 0, -35, 0, -75, -30, 3, 50, 58, 0, 0, -4, 45, 60, -25, 30, 25, 0, 3, -32, 78, -6, -15, 16, 0, 10, 34, -30, -18, -12, 57, 0, 0, 24, -15, -10, -27, 0, 0, 12, 0, 4, 30, 10, -33, 0, 46, 0, 15, 60, 27, 48, 0, 0, -12, -12, 58, 0, -60, 0, -21, 0, 40, -18, 15, 32, 0, 0, -33, -36, -25, 8, 60, 0, 1, 0, -15, 10, 12, -30, 0, -24, 0, 0, 42, -60, -11, 0, 60, 28, -57, 20, -105, 24, 0, -48, 30, -50, -29, -12, -6, 0, 45, 0, 22, 48, -25, 0, 0, -12, -48, -6, 75, 4, -9, 0, -6, 60, -40, 10, -18, 60, 0, -60, 30, 40, 9, 0, 65, 0, 0, 26, -75, -20, -8, 24, 0, 0, -69, 0, -84, -36, 5, 0, 18, 0, 7, -30, 120, 18, 0, 60, 20, -18, -20, 52, -33, 0, -63, -30, 45, 36, 45, 12, 0, 0, 15, 10, 18, 90, -37, 0, 15, 16, 51, 60, 15, -30, 0, -36, -33, 12, 0, 0, -150, 0, -9, 20, -120, -24, -30, 16, 0, 60, -74, -24, 75, 40, -63, 0, 80, 42, 45, -32, 9, -50, 0, 0, 8, -52, 24, -30, 30, 0, 70, 18, 36, 0, 38, -48, 0, 30, 15, -40, 19, 60, 15, 0, 27, 30, -23, 24, 0, -44, 0, -12, 111, 0, -45, 8, -45, 0, -15, 6, 42, 4, -48, 0, 0, 0, -25, 34, 75, -10, 85, 0, 15, -50, 27, 0, 21, 72, 0, -8, 36, 0, 23, -60, 75, 0, 30, 0, -25, 6, -45, 16, 0, 80, -3, 36, 66, -18, 0, 0, -99, 18, -25, -10, -30, 16, 0, 0, 45, 0, 15, 20, 0, 0, -18, -20, 84, 0, 15, -18, 0, 8, -54, 0, 3, 30, 30, 0, 0, -40, 45, -18, 18, -10, 0, -90, -104, 6, -115, -50, -99, 0, -47, -60, 60, -40, 78, -40, 0, 0, 5, -12, -12, 30, -57, 0, -15, -60, 60, 16, -20, -60, 0, 0, -135, -60, -29, 36, 30, 0, 30, -30, -126, 0, -10, -24, 0, -14, 25, 48, -45, 44, 33, 0, 105, 18, 20, 18, 15, 0, 0, 48, 100, 30, 15, 0, -63, 0, -75, 20, -69, 20, 10, 60, 0, -52, 36, -30, -60, 0, -80, 0, 75, 40, -45, -6, 45, 92, 0, -40, 27, -36, 48, 0, -96, 0, -1, 0, 15, 0, 21, 20, 0, 0, -45, 14, 6, -90, 25, 0, 36, -6, 63, 30, -87, 36, 0, -22, 0, 0, -41, -24, 45, 0, 15, -20, 54, 18, 55, 24, 0, 60, 27, -60, -85, -48, -21, 0, -30, 72, -45, 28, 36, 0, 0, 0, -66, -50, 0, 60, -4, 0, -140, 20, -27, 0, -92, 24, 0, -18, -30, -40, 12, 0, 38, 0, -69, -90, 0, -6, 60, -24, 0, 0, 52, 42, 15, 28, -120, 0, 77, 30, -15, -60, -78, 120, 0, -24, 50, 6, 36, -16, 69, 0, -15, 24, -57, 40, -45, 24, 0, 40, -21, -30, -5, -36, 50, 0, -15, 66, -12, -18, 15, -90, 0, -10, 86, 0, 0, -22, -30, 0, -44, -60, 125, 24, 51, -36, 0, 12, -45, 0, 3, -30, 147, 0, -15, 0, 150, -60, -86, 0, 0, 0, 72, 16, -30, -72, 75, 0, 69, -10, -17, -60, 12, 24, 0, -60, -75, 96, 35, 20, 9, 0, -72, -54, -15, -8, 0, 10, 0, -12, 38, 50, 108, 60, -51, 0, -20, -12, 9, -48, 39, 30, 0, 60, 12, -60, -70, -36, 120, 0, 45, 0, 39, -36, -105, 0, 0, 16, 80, 6, -60, 40, -30, 0, -9, 96, 30, 48, -75, -60, 0, -30, 0, 26, -69, 30, 100], 'weight': 2, 'weight_parity': 1}