Formats: - HTML - YAML - JSON - 2026-04-14T22:05:52.350230
Query: /api/mf_newforms/?_offset=0
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{'Nk2': 888, 'analytic_conductor': 1.7726789248724246, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [222, 2, [149, 187], [2, 1]], 'cm_discs': [], 'conrey_index': 73, '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': [[7, [-3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472508126, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 33032, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 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': '222.2.c.a', 'level': 222, '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, 3, 37], 'level_radical': 222, 'minimal_twist': '222.2.c.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{2}+q^{3}-q^{4}+2 i q^{5}+i q^{6}+\\cdots', 'related_objects': ['EllipticCurve/2.2.37.1/36.1/a', 'ModularForm/GL2/TotallyReal/2.2.37.1/holomorphic/2.2.37.1-36.1-a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '222.2.c', 'trace_display': [0, 2, 0, 6], 'trace_hash': 1060473154391653895, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.594', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '154.440', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, 2, -2, 0, 0, 6, 0, 2, -4, -6, -2, 0, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 2, -2, 2, -6, 0, -4, 0, 0, -6, -6, 0, -2, -12, 2, 0, 4, 4, 0, 0, 6, 0, -2, 16, 2, 4, 0, 0, 0, -22, 0, 0, 0, 0, 12, 0, 0, 0, 20, 6, -2, -4, 0, 16, 0, 0, -12, 4, 0, -2, 2, 2, 0, -18, -2, 0, 0, 2, 0, -2, -6, -12, 8, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -6, -2, -36, -6, 0, 2, 0, 0, 26, -2, 0, 12, -12, 6, 0, 2, -4, 0, 0, 12, 0, 4, -4, 20, 4, 0, 0, 0, -14, 0, 0, 0, 0, 6, 0, 0, 0, 6, -24, -2, 0, 0, 16, 0, 0, 2, 24, 0, 4, 12, -20, 0, -26, -2, 0, 0, 40, 0, 16, -28, -22, -4, 0, 0, 0, -4, 0, 0, 0, 0, 24, 0, 0, 0, 18, 12, 6, -6, 0, -18, 0, 0, 4, -6, 0, 2, 4, 20, 0, -16, 6, 0, 0, -2, 0, -16, -4, -4, -34, 0, 0, 0, 16, 0, 0, 0, 0, -32, 0, 0, 0, -12, 44, 22, 4, 0, 16, 0, 0, -38, -2, 0, -6, 2, 8, 0, 2, 28, 0, 0, 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