Formats: - HTML - YAML - JSON - 2026-01-23T00:48:19.460321
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 680, 'analytic_conductor': 1.3574568343617666, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [170, 2, [137, 71], [2, 1]], 'cm_discs': [], 'conrey_index': 101, '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, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007268007772330, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 26948, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 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': '170.2.b.c', 'level': 170, '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': True, 'level_primes': [2, 5, 17], 'level_radical': 170, 'minimal_twist': '170.2.b.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{2}+q^{4}+i q^{5}+2 i q^{7}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/2.2.17.1/100.1/a', 'ModularForm/GL2/TotallyReal/2.2.17.1/holomorphic/2.2.17.1-100.1-a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '170.2.b', 'trace_display': [2, 0, 0, 0], 'trace_hash': 2301657772840601632, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.136', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.292', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.640', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.525', 'prec': 17}, 'traces': [2, 2, 0, 2, 0, 0, 0, 2, 6, 0, 0, 0, -4, 0, 0, 2, -2, 6, -16, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 0, 2, 0, -2, -4, 6, 0, -16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 6, -2, 0, -4, 20, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, -8, -2, 0, -4, 0, 6, 0, 0, 0, -16, 16, 0, 0, 0, 18, 0, 0, 0, 8, -16, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -2, 20, 0, 0, -4, 0, 20, 0, 0, 0, 8, 0, 0, 0, 0, -12, 0, -12, 8, 16, 0, -10, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -8, 0, -2, 28, 0, 0, -4, 0, 0, 0, 6, -12, 0, 0, 0, -36, 0, -16, -16, -6, 16, 20, 0, -44, 0, 0, 0, -24, 18, 0, 0, 0, 0, 0, 0, -18, 8, -48, -16, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 6, 0, 0, 0, -2, 0, 20, -24, 0, 8, 0, 0, -4, 0, 0, 0, 20, 0, 0, 0, 0, 40, 0, 0, 8, 4, 0, 16, 0, -6, 0, 0, 0, 4, -12, 0, 0, 0, -12, 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