Formats: - HTML - YAML - JSON - 2026-06-26T23:30:46.042994
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 684, 'analytic_conductor': 1.3654418745638945, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [171, 1, [20, 154], [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, [-2, 1]], [5, [-3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666091, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 27098, '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': '171.2.a.d', 'level': 171, '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, 19], 'level_radical': 57, 'minimal_twist': '57.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{2}+2q^{4}+3q^{5}-5q^{7}+6q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/171/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '171.2.a', 'trace_display': [2, 0, 3, -5], 'trace_hash': 824606538580033885, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.198', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.622', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, 2, 0, 2, 3, 0, -5, 0, 0, 6, -1, 0, 2, -10, 0, -4, 1, 0, -1, 6, 0, -2, 4, 0, 4, 4, 0, -10, 2, 0, -6, -8, 0, 2, -15, 0, 0, -2, 0, 0, 0, 0, -1, -2, 0, 8, 9, 0, 18, 8, 0, 4, -10, 0, -3, 0, 0, 4, 8, 0, -1, -12, 0, -8, 6, 0, 8, 2, 0, -30, 12, 0, -11, 0, 0, -2, 5, 0, 16, -12, 0, 0, -12, 0, 3, -2, 0, 0, 6, 0, -10, 8, 0, 18, -3, 0, -10, 36, 0, 8, -2, 0, -2, 0, 0, -20, -6, 0, 4, -6, 0, 20, -2, 0, 12, 4, 0, 16, -5, 0, -10, -2, 0, -12, -3, 0, -2, 0, 0, 12, -7, 0, 5, 16, 0, 0, 9, 0, -13, -30, 0, 24, -2, 0, 6, -22, 0, 0, 21, 0, 0, 0, 0, 10, -18, 0, -18, 32, 0, -24, -20, 0, 0, 0, 0, -24, -10, 0, -9, 6, 0, -2, -6, 0, -20, 4, 0, 12, 18, 0, -14, -20, 0, 0, 0, 0, -1, 18, 0, -6, -9, 0, 4, -20, 0, 36, 2, 0, -21, 0, 0, -4, -10, 0, 0, -4, 0, -8, 1, 0, 12, -20, 0, -12, -3, 0, 30, 8, 0, -6, 2, 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